Find the measures of the angles formed by two intersecting lines if the
sum of the measures of three of the four angles is 270°

50 points! Please help quick!

Answers

Answer 1

Answer:

every single angle is 90°

Step-by-step explanation:

remember that,

4 angles will form if two lines intersect and the sum of those 4 angles is 360°

we are given the sum of 3 angles i.e 270

so one of the angles should be

[tex] \displaystyle {360}^{\circ} - {270}^{\circ}[/tex]

simplify substraction:

[tex] \displaystyle {90}^{\circ}[/tex]

therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°

Answer 2

Answer:

90°

Step-by-step explanation:

We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°

Therefore :-

Measure of remaining one angle ,

360 - 270 90 °

Therefore the measure of the fourth angle is 90°


Related Questions

help me solve the simultaneous linear inequalities

Answers

Answer:

The inequality form is -4<x<-2

The Interval Notation is (-4, -2]

I hope this helps!

on a coordinate gride what is the distance between (1,3) and (6,15)

Answers

Answer:

13

Step-by-step explanation:

Distance between points (1, 3) and (6, 15) is 13

13 is the right answer for sure

At a point 25 ft. from the base of a totem pole, the angle of elevation of the top of the pole is 50.1 °. How tall is the totem pole to the nearest foot?

Answers

Answer:

height ≈ 30 ft

Step-by-step explanation:

The situation is modelled by a right triangle.

let h be the height of the totem pole, then

tan50.1° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{25}[/tex] ( multiply both sides by 25 )

25 × tan50.1° = h , then

h ≈ 30 ft ( to the nearest foot )

Which equation is a radical equation? 4p =√-3 + p x√3 + x =^3√2x 7√11– w = –34 5 – ^3√8= v√16

Answers

Answer:

See explanation

Step-by-step explanation:

The given options are not properly formatted; so, I will give a general explanation instead

An equation is said to be radical if its variable is in a radicand sign.

For instance, the following equation is a radical;

[tex]\sqrt x + 2 = 4[/tex]

In the above equation, x is the variable, and it is in [tex]\sqrt[/tex] sign

However, the following equation is not a radical equation

[tex]x + \sqrt 4 = 2[/tex]

Because the variable is not in a radicand

This frequency table represents the number of cars owned by each family on a street.


What is the mean number of the cars owned by each family?
A. 2.5
B. 3
C. 4
D. 5.5

Answers

Step-by-step explanation:

1+2+3+4+5=14 divided by 5=2.8 so, A.would be your answer.

Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. What fraction of tickets are available to sell on Saturday?

Answers

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

Which of the following options results in a graph that shows exponential growth? (2 points)

f(x) = 0.4(3)x
f(x) = 3(0.5)x
f(x) = 0.8(0.9)x
f(x) = 0.9(5)−x

Answers

Answer:

Step-by-step explanation:

The formula for exponential equations is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. If b is greater than 1, we have growth; if  0 < b < 1, then we have decay. The only choice that shows a b value greater than 1 is the first one where b = 3. (The last one is also a decay as it can be written as

[tex]f(x)=0.9(\frac{1}{5x})[/tex] which isn't even exponential!)

I dont understand what to do here, can somebody help, please? 4.2 / 6 = ____ tenths / 6 4.2 / 6 ____ tenths

Answers

Answer:

sei lá, pergunta pra tua mãe

pls pls pls answer and pls dont use this post just for extra points i actually rly need help
:( please don't

Answers

Answer:

1/2

Step-by-step explanation:

Probability is equal to the amount of desirable outcomes divided by the total amount of outcomes. Each coin has two sides, and there are three of them. This accounts for a total of 2^3 or 8 outcomes. Now, we need to find the amount of outcomes where two or more coins land on heads. We can start by listing those possibilities: THH, HTH, HHT, and HHH. Notice that the first three are just three ways of rearranging the same result. We can see that there are four desirable outcomes. This means the probability is 1/2.

Assistance pleaseeees?!!

Answers

Answer:

Step-by-step explanation:

Find the sum -2/3+0 Pls answer right​

Answers

Answer:

[tex] - 1[/tex]

-1 is the answer in your questions

Answer:

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

Step-by-step explanation:

[tex] \frac{ - 2}{3} + 0[/tex]

when adding or subtracting by 0, the value does not change.

[tex] = \frac{ - 2}{3} = - \frac{2}{3} [/tex]

Pier is a teacher
There are 13 boys and 17 girls in the class
Pier chooses one student at random
Workout the probability the student is a boy

Answers

Answer:

I think its 43%

Explanation

math

The probability of Pier choosing a boy is 0.43 or 43%.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The total number of students in the class is:

13 boys + 17 girls

= 30 students

The probability of Pier choosing a boy is the number of boys in the class divided by the total number of students:

Probability of choosing a boy.

= number of boys / total number of students

Probability of choosing a boy.

= 13 / 30

Probability of choosing a boy.

= 0.4333 or approximately 0.43

Therefore,

The probability of Pier choosing a boy is 0.43 or 43%.

Learn more about probability here:

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Which set of rational numbers is arranged from least to greatest? 1 over 5, −1.4, negative 1 over 2, 3

Answers

Answer:

[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]

Required

Order from least to greatest

We have:

[tex]\frac{1}{5}, -1.4, -\frac{1}{2}, 3[/tex]

Convert all fractions to decimal

[tex]0.2, -1.4, -0.5, 3[/tex]

Now order from least to greatest

[tex]-1.4, -0.5, 0.2, 3[/tex]

Replace fractions

[tex]-1.4, -\frac{1}{2}, \frac{1}{5}, 3[/tex]

solve the simultaneous equation: x-y=2
xy=36​

Answers

Answer:

Y= –7.08, 5.08

Step-by-step explanation:

hope ya ready bro.

X=36/Y

replace 36/y instead of X

36/Y–Y=2===> 36–Y²=2Y===> Y²+2Y–36=0

Y1= –1+√37≈ –7.08

Y2= –1–√37≈ 5.08

Do anyone know this






Make sure is the correct answer please


Answers

9514 1404 393

Answer:

  (a)  P = 44 cm + 18 cm + 18 cm = 80 cm

  (b)  396 cm²

  (c)  (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm

  (c)  (ii) 7 cm

Step-by-step explanation:

(a) The length of arc PQR is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the angle in radians

The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9

So, the arc length is ...

  PQR = (18 cm)(22/9) = 44 cm

Then the perimeter of the figure is ...

  P = PQR +RO +OP = 44 cm + 18 cm + 18 cm

  P = 80 cm

__

(b) The area of a sector is given by ...

  A = 1/2r²θ = 1/2(rs)

  A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector

__

(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:

  height = √((slant height)² - radius²) = √(18² -7²) = √275

  height ≈ 16.58 . . . cm

(ii) The length of arc PQR is the circumference of the base of the cone, given by ...

  C = 2πr . . . . where r is the radius of the base of the cone

Filling in the known values, we find ...

  44 cm = 2(22/7)r

  (44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r

The radius of the base of the cone is 7 cm.


Each side of a square office is 3 meters long. It will cost $44.14 per square meter to replace
the carpet in the office. What would be the total cost to replace the carpet?

Answers

Answer:

3*3*44.14$

That's the answer

Use a calculator

Rewrite the following polynomial in standard form.

9x + 1 - x^2

Answers

Answer:

x²-9x-1

Step-by-step explanation:

move the -x² in front and get -x²+9x+1

then multiply the whole equation by -1 and get x²-9x-1

I THINK OKAY PLEASE DONE BE MAD





Which expression is equivalent to 8-(6r+2) HELP SMB PLEASE!

Answers

Answer:

A.

Step-by-step explanation:

A.-6r+6

We can use SOH-CAH-TOA for

A. Any triangle ever
B. Non-right triangle only
C. right triangle only
D. Never ​

Answers

Answer:

C. right triangle only

Step-by-step explanation:

Other triangles use other laws such as law of cosines or sines to solve them. Right triangles exclusively use SOH-CAH-TOA because side opposite to 90 degree is always hypotenuse.

A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?

Answers

Answer:

The function is:

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Step-by-step explanation:

Given

[tex]height = 3ft[/tex]

[tex]velocity = 50ft/s[/tex]

[tex]acceleration = -16ft/s^2[/tex]

Required

The function

Let t represents time;

So, we have:

[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]

So, we have:

[tex]f(t) = -16* t^2 + 50* t + 3[/tex]

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Answer:

b on edge

Step-by-step explanation:

Suppose you find that the correlation coefficient for a set of data is 0.826. What is the coefficient of determination and what does it mean?

Answers

Answer:

[tex]r^2 = 0.826^ 2 =.6822[/tex]

[tex]r^2 =[/tex] a measure of how strong the ("how fit") the relationship is

it is always positive between 0 and 1

Step-by-step explanation:

coefficient of determination = r^2

r^2 = 0.826^ 2 =.6822

Will give brainliest!!!
2.6(5.5p – 12.4) = 127.92
p=

Answers

Answer:

[tex]p=11.2[/tex]

Step-by-step explanation:

Given [tex]2.6(5.5p-12.4)=127.92[/tex], distribute to remove the parentheses:

[tex]2.6\cdot 5.5p-2.6\cdot 12.4=127.92[/tex]

Simplify:

[tex]14.3p-32.24=127.92[/tex]

Add 32.24 to both sides:

[tex]14.3p=160.16[/tex]

Divide both sides by 14.3:

[tex]p=\frac{160.16}{14.3}=\boxed{11.2}[/tex]

PLZ HELP its due soon!!!

Answers

Answer:

E)

Step-by-step explanation:

1) 6.50 (starting with his current wage)

2) 6.50 + 0.25 = 6.75 $

3) 6.75 + 0.25 = 7.00 $

4) 7.00 + 0.25 = 7.25 $

5) 7.25 + 0.25 = 7.50 $

6) 7.50 + 0.25 = 7.75 $

A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

Answers

Answer:

[tex]P(x = 3) = 0.048[/tex]

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]p=59\% = 0.59[/tex]

Required

[tex]P(x = 3)[/tex] --- probability that 3 are afflicted

This question illustrates binomial probability and it is calcuated using:

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

So, we have:

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]

[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]

[tex]P(x = 3) = 0.048[/tex]

Adya and Ashley complete a work separately in 20 and 25 days respectively. After 10 days of their working together, they both left then Amber came and completed the remaining work in 3 days. If Amber alone would do the work, calculate how many days he would take to complete the work.?​

Answers

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

Number of days Adya took to complete the work = 20

Work done by Adya in 1 day = [tex]\frac{1}{20}[/tex]

Number of days Ashley took to complete the work = 25

Work done by Ashley in 1 day = [tex]\frac{1}{25}[/tex]

So,

Total work by Adya & Ashley in 1 day =

[tex] \frac{1}{20} + \frac{1}{20} \\ = \frac{5 + 4}{100} \\ = \frac{9}{100} [/tex]

•°• Their total work in 10 days =

[tex] \frac{9 \times 10}{100} \\ = \frac{90}{100} \\ = \frac{9}{10} [/tex]

Now,

The work left to be completed =

[tex]1 - \frac{9}{10} \\ = \frac{10}{10} - \frac{9}{10} \\ = \frac{1}{10} [/tex]

From this we know that,

Amber completes [tex]\frac{1}{10}[/tex] of the work in 3 days.

So,

Time taken by Amber to complete the whole work =

[tex]3 \times 10 \\ = 30 \: \: days[/tex]

↦ If Amber alone would do the whole work, he would take [tex]\boxed{30 \ \ days}[/tex] to complete it.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

got it right

Answer:

y = 4x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-3) / 2 - 0

8 / 2

= 4

y = 4x + b

5 = 4(2) + b

5 = 8 + b

-3 = b

x^3 - 3mx^2 + 3(2m - 1)+1

Answers

Answer:

21e

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(Will put as Brainliest) Please help! :")

A speciality candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3cm and the graham cookie is a rectangular prism with a base measuring 5cm by 5cm and a thickness of 0.5cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre.

Answers

Answer:

88.27 cm^2

Step-by-step explanation:

Cherry=4(3.14)(1.5)^2

=28.27

Cookie=2·(5·5+0.5·5+0.5·5)

=60

60+28.27=88.27

a solid cylinder has radius x cm and height (7x÷2) cm .the surface area of a sphere with radius R cm is equal yo the total surface area of the cylinder . find an expression for R in terms of x​

Answers

Answer:

[tex]R=(\sqrt{11} )\frac{x}{2}[/tex]

Step-by-step explanation:

The expression for the radius of the sphere will be R = (3/2)x.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that a solid cylinder has a radius x cm and height (7x÷2) cm .the surface area of a sphere with a radius R cm is equal to the total surface area of the cylinder.

The expression will be solved as:-

SA ( sphere) = 4πR²

SA (cyl) = 2πr² + 2πrl

SA (cyl) = 2πx² + 2πx ( 7x / 2)

SA (cyl) =  2πx² + 7πx²

SA ( sphere)  = SA (cyl)

4πR² =   2πx² + 7πx²

R² = 9πx² / 4π

R = √(9x²/4)

R = ( 3 / 2 )x

Therefore, the expression for the radius of the sphere will be R = (3/2)x.

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Indicate in standard form the equation of the line passing through the given points, writing the answer in the equation box below.

G(4, 6), H(1, 5)

Answers

Answer:

x-3y=-14

Step-by-step explanation:

Slope = (5-6)/(1-4) = -1/-3 = 1/3

y-intercept is,

b=6-1/3×4 = 14/3

so the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

Answered by GAUTHMATH

Standard form the equation of the line passing through the given points is x-3y=-14

What is equation?

Statement of equality between two expressions consisting of variables and/or numbers

Given points are: G(4, 6), H(1, 5)

Now,

Slope = (5-6)/(1-4)

= -1/-3

= 1/3

and y-intercept is,

b=6-1/3×4

b = 14/3

Hence, the equation is,

y=x/3+14/3

or, 3y=x+14

or, x-3y=-14

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