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jekas [21]
3 years ago
7

Answer with explanation please!

Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer:

E

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

8x + 15 is an external angle of the triangle, thus

8x + 15 = 3x + 20 + 4x + 5, that is

8x + 15 = 7x + 25 ( subtract 7x from both sides )

x + 15 = 25 ( subtract 15 from both sides )

x = 10

Thus none of them on the list → E

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G(t) = -2t + 3f(t) = 2t - 5<br> Find (g f)(t)
Tanzania [10]

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

3 0
4 years ago
Create your own real world problem that involves designing a 2D shape.
andrey2020 [161]

Answer:

A square with 20ft sides is put on the moon

Step-by-step explanation:

what is perimeter

sides = s

s x 4/4 = 20

s = 20

s x 4 = 80

8 0
3 years ago
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Sam and bethan share £54 in the ration 5:4
Margarita [4]

Answer:

<h2>Let the common ratio b x thus the part becomes</h2><h2>=5x and 4x respectively</h2>

<h2>Thus,ATQ</h2>

<h2>5x+4x= 54</h2>

<h2>9x=54</h2>

<h2>x= 6</h2>

<h2>Sam will get is £30 (putting the value of x)</h2><h2>and Bethan will get £24</h2>
3 0
3 years ago
Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear
AlladinOne [14]

Answer:

x=\frac{83}{50}

Step-by-step explanation:

we know that

If the three points are collinear

then

m_A_B=m_A_C

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope AB

we have

A(1,\frac{2}{3}),B(x,-\frac{4}{5})

substitute in the formula

m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}

m_A_B=\frac{\frac{-12-10}{15}}{x-1}

m_A_B=-\frac{22}{15(x-1)}

step 2

Find the slope AC

we have

A(1,\frac{2}{3}),C(-\frac{1}{2},4)

substitute in the formula

m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}

m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}

m_A_C=-\frac{20}{9}

step 3

Equate the slopes

m_A_B=m_A_C

-\frac{22}{15(x-1)}=-\frac{20}{9}

solve for x

15(x-1)20=22(9)

300x-300=198

300x=198+300

300x=498

x=\frac{498}{300}

simplify

x=\frac{83}{50}

8 0
4 years ago
Or the figure shown on the​ right, find m∠3 and m∠4.
ioda

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

4 0
3 years ago
Read 2 more answers
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