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3 years ago

The polygons in each pair are similar. Find the missing side length / first one has 4 &x and second one has 12&18

Mathematics

1 answer:

sergiy2304 [10]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

$\frac{4}{12}=\frac{x}{18}$

Find x by cross multiplying numerator and denominator of each fraction.

4(18) = 12x

72 = 12x

6 = x

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Find the area of this triangle

creativ13 [48]

Answer:

The area should be 170

Step-by-step explanation:

L× W =70×10=170

5 0

3 years ago

What is the product of (4x-7)(4x+7)?

miskamm [114]

(a+b)(a-b)=a^2 - b^2
so

<span>(4x-7)(4x+7) = 16x^2 - 49

answer
</span>16x^2 - 49

6 0

3 years ago

Please teach me how to do this question..tq

nikitadnepr [17]

Answer:

Emilia bought 28 sweets

Step-by-step explanation:

now they have 65, but before they had 65-15+10 because earlier, zakiah had ten more sweets than now and Emilia had 15 less, so basically, if you wanna calculate number of sweets they had earlier, you have to make minus from plus and in reverse too.

65-15+10=60 and now just do that simply ratio

E:Z=7:8

E+Z=7x+8x

60=15x

4=x

7x=28=Emilia

8x=32=Zakiah

Accuracy test:

(28+15)+(32-10)=65

28 is 4•7 and 32 is 4•8

3 0

3 years ago

A diesel train left Abuja and traveled west.Two hours later a freight train left traveling 15 mph faster in an effort to catch u

Zepler [3.9K]

Step-by-step explanation:

let the speed of diesel train = x

the equation would be:

(2+6)x = 6(x+15)

8x = 6x+90

8x-6x = 90

2x = 90

x = 90/2

x = 45

Therefore, the speed of diesel train =

45 mph

8 0

3 years ago

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

Setler [38]

First things first. Solve the equation for y, getting it into y = mx + b form so it's easy to determine the slope. 5x + 2y = 12 so 2y = -5x + 12. Dividing everything by 2 we get $y=- \frac{5}{2}x+6$ . So the slope is -5/2. Parallel lines have the same slope, so we will have a slope of -5/2 in our new equation, we just have to find out what that equation is. We have an x and a y value from the point, so we will use that, along with the slope, to find b, the y-intercept. $4=- \frac{5}{2}(-2)+b$ and 4 = 5 + b. So b = -1. Now let's write the equation: $y=- \frac{5}{2}x-1$ . And there you go!

7 0

3 years ago