Find the size of unknown angles ​

Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

The answer would be 23.07/3 = 23 is $7.69

Answer:

12

Step-by-step explanation:

Answer:

<1 and <2 are remote interior angles of <6

<2 and <3 are remote interior angles of <4

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9

The binomial theorem says

[tex]\displaystyle (a + b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k \\\\(a+b)^n= \binom n0 a^n + \binom n1 a^{n-1}b + \cdots + \binom n{n-1} ab^{n-1} + \binom nn b^n[/tex]

where

[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]

is the so-called binomial coefficient. The binomial coefficients follow a neat pattern called Pascal's triangle:

1

1   1

1   2   1

1   3   3   1

1   4   6   4   1

where the n-th row, starting with n = 0, lists the coefficient of the k-th term in the sum (with 0 ≤ k ≤ n). For example,

[tex]\displaystyle n=0 \implies (a + b)^0 = \sum_{k=0}^0 \binom nk a^{0-k} b^k = \binom00 a^{0-0} b^0 = \underline{1}[/tex]

[tex]\displaystyle n=1 \implies (a + b)^1 = \sum_{k=0}^1 \binom 1k a^{1-k} b^k = \binom10 a^{1-0} b^0 + \binom11 a^{1-1}b^1 = \underline{1}a + \underline{1}b[/tex]

[tex]\displaystyle n=2 \implies (a + b)^2 = \sum_{k=0}^2 \binom 2k a^{2-k} b^k = \binom20a^{2-0}b^0+\binom21a^{2-1}b^1+\binom22a^{2-2}b^2 = \underline{1}a^2 + \underline{2}ab+\underline{1}b^2[/tex]

Each row starts and ends with 1, and every coefficient in between is obtained by adding the coefficients directly above and to the left. The next row, for instance, would be

1   1 + 4   4 + 6   6 + 4   4 + 1   1

or

1   5   10   10   5   1

which is to say,

[tex]\displaystyle (a + b)^5 = \underline{1}a^5+\underline{5}a^4b+\underline{10}a^3b^2+\underline{10}a^2b^3+\underline{5}ab^4+\underline{1}b^5[/tex]

In your case, we have (d - 4b)², so we take a, b, and n above with d, -4b, and 2, respectively:

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k d^{2-k} (-4b)^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \sum_{k=0}^2 \binom 2k (-4)^k d^{2-k} b^k[/tex]

[tex]\displaystyle (d - 4b)^2 = \binom20 (-4)^0 d^{2-0} b^0 + \binom21 (-4)^1 d^{2-1} b^1 + \binom22 (-4)^2 d^{2-2} b^2[/tex]

[tex]\displaystyle (d - 4b)^2 = 1\cdot1\cdot d^2\cdot1 + 2 \cdot (-4) d \cdot b + 1 \cdot 16 \cdot 1 \cdot b^2[/tex]

[tex]\boxed{(d - 4b)^2 = d^2 - 8bd + 16b^2}[/tex]

Answer:

Y(355-+=098) THAT WHAT I GOT

Step-by-step explanation:

A linear equation is an equation in which each term has at max one degree. The solution of the system of linear equations is (2,6).

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form y=mx+c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

Solving the second equation for x,

x + 5y = 32

x = 32 - 5y

Now, substitue the value of x in the first equation,

2(32 - 5y) + 5y = 34

64 - 10y + 5y = 34

-5y = -30

y = 6

Substitue the value of y in any one of the equation,

x + 5y = 32

x + 5(6) = 32

x = 2

Hence, the solution of the system of linear equations is (2,6).

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Answer:

You haven't provided expressions, so I can work out the problem for you. When we divide fractions, remember always "keep, switch, flip!" That's what we're gonna do here. We keep the 2/5, switch the sign to multiplication, and flip the 7/8 to 8/7. Therefore, we have 2/5*8/7. That gives us 16/35. Hope this helps!

Step-by-step explanation:

ummmmmmmm a lot and alot

Step-by-step explanation:

5/6 ×9/5

Multiply the denominators and the numerators separately; that is:

5×9 and 6×5

45 and 30

=45/30

=3/2(simplified)

Answer:

1.5

Step-by-step explanation:

Answer:

Step-by-step explanation: 10 miles per 2 hours is the First step. Knowing this helps a lot. Next you need to understand your solving for 25 miles. 10 goes into 25 2.5 times. This means you need to multiply the time by 2.5 as well. That would be 5 hours.

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

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Answer: P = 36.11111

Step-by-step explanation:

Formula: P = I / (RT)

65 / (.02*9)

(.02 is the decimal form of 2%)

65 / 1.8 = 36.111111111

P = 36.111111 (Unsimplified answer)

Correct me if it is incorrect.

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

[tex]\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph[/tex]

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

Answer: dont even know tbh

Step-by-step explanation:?

Answer:

The third option, 1/2..

Answer:

12.65 = 12 65/100

         = 12 13/20

10.5 = 10 5/10

       = 10 1/2

3.2 = 3 2/10

     = 3 1/5

1.69 = 1 69/100

1.5  = 1  5/10

     = 1  1/2

Step-by-step explanation:

The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

Given that, salted peanuts = 12.65 ounce.

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.

Now, salted peanuts = 12.65 ounce in fraction is

12.65 = [tex]12 \frac{65}{100}[/tex]

= [tex]12 \frac{13}{20}[/tex] ounce

10.5 ounce package miniature marshmallows

In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]

= [tex]10 \frac{1}{2}[/tex] ounce

3.2 ounce package sunflower seeds

In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]

= [tex]3 \frac{1}{5}[/tex] ounce

1.69 ounce package candy-coated milk chocolate pieces

In fraction [tex]1 \frac{69}{100}[/tex]

1.5 ounce box raisins

In fraction [tex]1 \frac{5}{10}[/tex]

= [tex]1 \frac{1}{2}[/tex]

Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

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if any doubt leave a comment

Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

Answer:

1x14 1x30 1x40

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2 times 3 = 6

6+3=9

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

Answer:

y = 20x + 80

Step-by-step explanation: