Find the measurement of ∠D and ∠C

Find The Measurement Of D And C

Answers

Answer 1

Answer:

∠D = 125° and ∠C = 55°

Step-by-step explanation:

We should first solve for variable x, which should give us angle C, and then solve for angle D.

[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°

Thus ∠C = 55°

Knowing that supplementary angles add to 180°, we set up the equation:

[tex]55+D=180[/tex][tex]D=125[/tex]°

Thus ∠D = 125°


Related Questions

There is $1.90 in a jar filled with
quarters, dimes, and nickels.
There are 2 more quarters than
dimes and there are 2 more
nickels than quarters.
How many of each coin are there?

Answers

Answer:

7 nickels, 5 quarters, 3 dimes

Step-by-step explanation:

7 nickels= 35 cents

5 quarters= $1.25

3 dimes= 30 cents

35+ 1.25+ 30= $1.90

Hope this helps!

Plz mark Brainliest if u can :)

5

Mark is investing $8,000 in an account paying 5.5% interest compounded weekly.
What will Mark's account balance be in 6 years?

Answers

Answer:

you divide a 8000÷ 5.5 yor answer is it

Which graph represents the function?
g(x) = {x if x < 2
{-3 if x >= 2

Answers

Step-by-step explanation:We have to graph the function g(x) which is given as:

g(x)=  x when x<2

and -3 when x ≥2.

Clearly after looking at the function we see that the function is not continuous since we find the continuity at x=2 as follows.

Left hand limitat 2:

g(2-h)=lim h→0 2-h

       =2-0=2

Also right hand limit at x=2 is:

g(2+h)=lim h→0 (2+h)

         = 2+0=2

Also g(2)= -3.

As:

Left hand limit= Right hand limit but is not equal to function's value at that point.

Hence, the function is discontinuous at x=2.

so for x<2 we will get a graph of a line y=x.

and for x≥2 we will get a straight line y=-3 parallel to the domain.

7. Define a variable and write an expression for the phrase.
8 minus a number

Answers

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.


So basically for your expression:

8-x
Hope that helped
8-x ccccccccccccccccccccc

What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest

Answers

Hello!

8 × 3 + 10 - 13 × 2 =

= 24 + 10 - 13 × 2 =

= 24 + 10 - 26 =

= 34 - 26 =

= 8

Good luck! :)

Answer:

8

Step-by-step explanation:

According to bdmas rule

First multiply 8 and 3 or 13 and 2

Then, there will be 24 + 10 - 26

Then add 24 + 10, there will be 34

and again minus by 26

Then finally answer will be 8

Pls answer it with explanation

Answers

Answer:

x=24 y=131

Step-by-step explanation:

it is right answer

Answer:

x = 24, y = 131

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180°

Sum the 3 angles and equate to 180

72 + 35 + 25 + 2x = 180 , that is

2x + 132 = 180 ( subtract 132 from both sides )

2x = 48 ( divide both sides by 2 )

x = 48

--------------------------------------------

Similarly in the lower triangle

25 + x + y = 180

25 + 24 + y = 180

49 + y = 180 ( subtract 49 from both sides )

y = 131

if P = (1,6) find r90° (P)

Answers

Answer:

(-6,1) got you homie

Step-by-step explanation:

Anderson has $120 and is spending $8 a day. Kate has $60 and is saving $7 a day. After how many days will they have the same amount of money?

Answers

Answer:

8 days

Step-by-step explanation:

Answer:

4 days

Step-by-step explanation:

[tex]120 - 8x = 60 + 7x[/tex]

x=4

HELP!!!!!!!!!!!!!!!! pls

Answers

Answer: y = 25 - 2x

Step-by-step explanation:

y = mx + b

m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{23-25}{1-0} =\frac{-2}{1} =-2[/tex]b = y-intercept = when x = 0 = 25

y = -2x + 25

Please help me!
Look at this diagram.

Answers

Answer:

if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree

Step-by-step explanation:

for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree

Answer:

[tex]x=13\text{ and } y=5[/tex]

Step-by-step explanation:

First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:

[tex]m\angle BCD + m\angle DCE = 180[/tex]

And since we know that ∠BCD measures 130°:

[tex]m\angle DCE = 180-130=50^\circ[/tex]

And since ∠DCE and ∠BCA are vertical angles:

[tex]\displaystyle \angle DCE \cong \angle BCA[/tex]

Therefore, by definition:

[tex]m\angle DCE = m\angle BCA = 50^\circ[/tex]

Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:

[tex]m\angle A = m\angle B[/tex]

The interior angles of a triangle must total 180°. So:

[tex]m\angle A + m\angle B +m\angle BCA = 180[/tex]

Substitute in known values:

[tex]m\angle A + m\angle A+ (50)=180[/tex]

Simplify:

[tex]2m\angle A=130[/tex]

Divide both sides by two:

[tex]m\angle A = 65[/tex]

Substitute:

[tex](5x)=65[/tex]

Therefore:

[tex]x=13[/tex]

Similarly, for the triangle on the right, we can write that:

[tex]m\angle D + m\angle E + m\angle DCE = 180[/tex]

Substitute:

[tex](10y+5)+(6x-3)+(50)=180[/tex]

Combine like terms:

[tex]10y+6x+52=180[/tex]

Since we determined that x = 13:

[tex]10y+6(13)+52=180[/tex]

Simplify:

[tex]10y+130=180[/tex]

Therefore:

[tex]10y=50[/tex]

And by dividing both sides by 10:

[tex]y=5[/tex]

Ascending order
a) 3/5,3/10,2/15
Ans:- ????​

Answers

Answer:

2/15, 3/30, 3/5 :)

Step-by-step explanation:

2/15 is .13~, 3)10 is .3, and 3/5 is .6, therefore 2/15 is the lowest number and 3/5 is the highest.

Answer:

[tex] \frac{2}{15} , \frac{3}{10} , \frac{3}{5} [/tex]

Step-by-step explanation:

Ascending order :- Ascending order means to arrange them from smallest to largest.

Hope it is helpful....

Find the vertex of the function y = (1/5)x^2 + (4/5)X + 1/5
A. (-2, 1)
B. (2, 1)
C. (2, -1)
D. 12/5, 1)

Answers

Answer:

(-2, -3/5) IS THE CORRECT ANSWER

Step-by-step explanation:

The vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

To find the vertex of the quadratic function in the form y = ax² + bx + c, we can use the formula:

x = -b / (2a)

y = f(x) = ax² + bx + c

For the given function y = (1/5)x² + (4/5)x + 1/5,

a = 1/5

b = 4/5

c = 1/5

Now we can find the x-coordinate of the vertex:

x = -b / (2a)

 = -(4/5) / (2 x (1/5))

 = -4/5 / (2/5)

 = -4/5 x 5/2

 = -4/2

 = -2

To find the y-coordinate, substitute the value of x

y = (1/5)(-2)² + (4/5)(-2) + 1/5

 = (1/5)(4) + (-8/5) + 1/5

 = 4/5 - 8/5 + 1/5

 = -3/5

Therefore, the vertex of the function y = (1/5)x² + (4/5)x + 1/5 is (-2, -3/5).

Learn more about Vertex of function here:

https://brainly.com/question/16027045

#SPJ2

Hello please help ASAP!

Answers

Correct answer is B, Length is 32 while the width is 40

A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of

Answers

Answer:

propbability ???

Step-bp explanation:

Answer:

Step-by-step explanation:

This is an example of a statistical mean.

f(x)=-x^2-9x find f(-2)

Answers

Answer:

14

Step-by-step explanation:

put -2 where x is

f(x)=-x^2-9x

f(-2)= -(-2)^2 -9(-2)

f(-2)= -4 + 18

f(-2)= 14

If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)
(x-(7+i))
(x-(-7-i))
(x+(7+i))
(x+(7-i))

Answers

Answer:

f(x) = [x-(7-2i)][x-(7+2i)]

= [(x-7)+2i][(x-7)-2i]

= (x-7)2 - (2i)2

= x2 - 14x + 49 - 4i2 = x2 - 14x + 49 +4

= x2 - 14x + 53

Answer:

[tex](x-(7-i))[/tex]

Step-by-step explanation:

For a polynomial with roots [tex]a[/tex] and [tex]b[/tex], the polynomial [tex]f(x)[/tex] can be written in factored form [tex](x-a)(x-b)[/tex]. That way, when you plug in any of the roots, [tex]f(x)[/tex] returns zero.

Since the polynomial has at least two roots-9 and 7-i, two of its factors must then be:

[tex](x-(-9)\implies (x+9)\\(x-(7-i))\impli[/tex]

Therefore, the desired answer is [tex]\boxed{(x-(7-i))}[/tex]

please help me for 5 points​

Answers

Answer:

275 adults

130 children

Step-by-step explanation:

Answer:

275 adults, 130 children

Step-by-step explanation:

An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?


Please explain thoroughly how to get the answer. 15 points

Answers

Answer:

Check explanation

Step-by-step explanation:

Let

x = original price

Percentage increase in price = 17%

New price = original price + Percentage increase in price

= x + 17% of x

= x + 0.17 * x

= x + 0.17x

= 1.17x

Shipping cost = $3

Total cost = $43

Total cost = New price + Shipping cost

43 = 1.17x + 3

43 - 3 = 1.17x

40 = 1.17x

x = 40 / 1.17

x = $34.188034188034

Approximately,

x = $34.2

In a county containing a large number of rural homes, 60% of the homes are insured against fire. Four rural homeowners are chosen at random from this county, and x are found to be insured against fire. Find the probability distribution for x.

Answers

Answer:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]p = 60\%[/tex]

[tex]n = 4[/tex]

Required

The distribution of x

The above is an illustration of binomial theorem where:

[tex]P(x) = ^nC_x * p^x *(1 - p)^{n-x}[/tex]

This gives:

[tex]P(x) = ^4C_x * (60\%)^x *(1 - 60\%)^{n-x}[/tex]

Express percentage as decimal

[tex]P(x) = ^4C_x * (0.60)^x *(1 - 0.60)^{n-x}[/tex]

[tex]P(x) = ^4C_x * (0.60)^x *(0.40)^{4-x}[/tex]

When x = 0, we have:

[tex]P(x=0) = ^4C_0 * (0.60)^0 *(0.40)^{4-0}[/tex]

[tex]P(x=0) = 1 * 1 *(0.40)^4[/tex]

[tex]P(x=0) = 0.0256[/tex]

When x = 1

[tex]P(x=1) = ^4C_1 * (0.60)^1 *(0.40)^{4-1}[/tex]

[tex]P(x=1) = 4 * (0.60) *(0.40)^3[/tex]

[tex]P(x=1) = 0.1536[/tex]

When x = 2

[tex]P(x=2) = ^4C_2 * (0.60)^2 *(0.40)^{4-2}[/tex]

[tex]P(x=2) = 6 * (0.60)^2 *(0.40)^2[/tex]

[tex]P(x=2) = 0.3456[/tex]

When x = 3

[tex]P(x=3) = ^4C_3 * (0.60)^3 *(0.40)^{4-3}[/tex]

[tex]P(x=3) = 4 * (0.60)^3 *(0.40)[/tex]

[tex]P(x=3) = 0.3456[/tex]

When x = 4

[tex]P(x=4) = ^4C_4 * (0.60)^4 *(0.40)^{4-4}[/tex]

[tex]P(x=4) = 1 * (0.60)^4 *(0.40)^0[/tex]

[tex]P(x=4) = 0.1296[/tex]

So, the probability distribution is:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.0256} & {0.1536} & {0.3456} & {0.3456} & {0.1296} \ \end{array}[/tex]

write an expression for 8 less than 2 times a number
show your work ​

Answers

Answer:

Step-by-step explanation:

Let's call the number x. The statement "...2 times a number" if the number is x looks like this:

2x

"8 less than" that looks like this:

... - 8

Putting the whole thing together:

2x - 8

HELP PLEASE I NEED COOR!!!!!



y−5=43(x−5)

Answers

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43

then add five on each side

you get y=43x-210, 43 and 210 cannot be sipilified so that is the answer.

Answer:

y=43x-210

Step-by-step explanation:

Distribute 43 through the parenthesis.

y-5=43x-215

Move the constant to the right and change its sign.

y=43x-215+5

Calculate sum.

y=43x-210

Hope i helped :)

Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.​

Answers

Answer: Either 4/3 or -4/3

============================================================

Explanation:

Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]

Multiplying this common ratio by any term gets us the next term of the geometric sequence.

16/9 is the first term, so that makes (16/9)*r the second term

Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2

Set this equal to 1 and solve for r.

(16/9)r^2 = 1

r^2 = 1*(9/16)

r^2 = 9/16

r = sqrt(9/16) or r = -sqrt(9/16)

r = 3/4 or r = -3/4

Now that we know what r is, we can determine the second term

If r = 3/4, then,

(16/9)*r = (16/9)*(3/4) = 4/3

Or if r = -3/4, then,

(16/9)*r = (16/9)*(-3/4) = -4/3

So the second term is either 4/3 or -4/3 depending on which r value you go for.

Can someone explain how to do this please?

Answers

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

[tex] { ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0[/tex]

for every x greater than zero, use the second line to determine the value

[tex] {3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7[/tex]

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

-Alex

For the function y=log(x-2)+1 which of the following statements is true? (see picture) (WILL GIVE BRAINLIEST)

Answers

Answer:

B.

Step-by-step explanation:

Use the equation of the water level of the river represented by the equation y = −4x + 170, where x represents the number of years and y represents the total feet. What points are located on the line? Check all that apply. (170, 0) (0, 170) (12, 126) (50, 30) (5, 150) (60, –70)

Answers

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Plug each x value into the equation. The point is located on the line if the y values match.

Ex. -4 (170) + 170 = -510 this point is not on the line

-4 (0) + 170 = 170 this point is on the line because it is a "true" statement

Answer:

(0, 170) (5, 150) (60, -170)

Step-by-step explanation:

Find the length of the line AB

Answers

Answer:

the length would be 12.

Step-by-step explanation:

Answer:

[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]

Which correlation is most likely a causation?



the positive correlation between the sales of apples and sales of oranges at a farmer’s market

the positive correlation between the number of crimes in a city and the number of cars in the city

the positive correlation between the height of a person and the number of times a person bumps their head on a low ceiling

the positive correlation between the number of socks and number of shoes in a home

Answers

Answer:

The positive correlation between the number of socks and the number of shoes in home

Step-by-step explanation:

Nah i just get an example so that i can get clue,if my answer is wrong sorry in advanced

What is the value of tan in the unit circle below?

Answers

Question:-

What is the value of tan in the unit circle below?

Answer:-

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.

A cinema is doing a promotion to celebrate their 50th anniversary for 1 week. They give

away a free drink to every 98th customer, a free bag of popcorn to every 112th customer and

a free cinema ticket to every 224th customer. Which lucky customer will be the first to

receive all 3 items?​

Answers

Answer:

1,568 customer

Step-by-step explanation:

Find the lowest common multiple of 98, 112, and 224

98 = 98, 196, 294, 392, 490, 588, 686, 784, 882, 980, 1078, 1176, 1274, 1372, 1470, 1568, 1666

112 = 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232, 1344, 1456, 1568, 1680, 1792, 1904

224 = 224, 448, 672, 896, 1120, 1344, 1568, 1792, 2016, 2240

The lowest common multiple of 98, 112, and 224 is 1568

Therefore, the 1,568th customer will be the first to receive all 3 iitem

HELPPPPPPPPPPPPPPPP SOMEONE !!!What is the rate of change of the amount earned with respect to hours worked for this function?

hours per dollar
hours per dollar
3 dollars per hour
13 dollars per hour

Answers

Answer:

$13 per hour

Step-by-step explanation:

This is because 26÷2=13, 65÷5=13

thirteen dollars per hour
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The annual insurance premium will be 2% of the value of the home, and the ad valorem taxes are $7,161. The loan will require a monthly principal and interest payment of $4.77 for each $1,000 of the loan amount, and the lender will use 28/36 qualifying ratios. The property appraises for $286,000 and the couple has no other debts. How much verifiable gross monthly income will the couple need Hartford, Inc. manufactures a single product. Shown are projected revenues and costs based on last year's income statement (8,000 units) and practical capacity (10,000 units). The costs are either variable, fixed, or mixed (part variable and part fixed.) You need to figure out what the cost type is based on the cost behavior.Last Year(8,000 units) Practical Capacity(10,000 units) Total Per Unit Total Per UnitRevenue $800,000 $100.00 $1,000,000 $100.00Costs: Direct Material $200,000 $25.00 $250,000 $25.00Direct Labor $160,000 $20.00 $200,000 $20.00Mfg. Overhead $180,000 $22.50 $200,000 $20.00Selling Expenses $40,000 $5.00 $50,000 $5.00Admin. Expenses $50,000 $6.25 $50,000 $5.00Total Costs $630,000 $78.75 $750,000 $75.00Pre-Tax Profit $170,000 $250,000 RequiredAssume that Hartford expects to sell the same number of units as last year in their normal distribution channels (8,000 units). They have received an offer from a one-time customer (not part of their normal customer mix) to buy 1,000 units (additional to their expected normal sales) at a price of $71. By how many dollars would pre-tax profit increase or decrease if Hartford accepts the special order? (9 points) A 12.5-m fire truck ladder is leaning against a wall. 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Ex: If the input is: All claims in science should be supported by biology Free Skies Inc.'s annual report contained the following information (dollars in millions): Net loss $ (13,302 ) Depreciation, amortization, and impairments 34,990 Decrease in receivables 2,045 Increase in inventories 6,266 Decrease in accounts payable 505 Additions to equipment 4,677 Required: 1. Based on this information, compute cash flow from operating activities using the indirect method.