I need help with number 5 please!
As shown on the diagram below ABC ~ DEF, AB=7x, BC=4, DE=7 and EF=x what is the length of AB?

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Explanation:

We're told that [tex]\triangle ABC \sim \triangle DE F[/tex] which means triangle ABC is similar to triangle DEF. The order of the letters is important as you'll see in the next two paragraphs.

AB and DE are the first two letters of ABC and DEF respectively. These two sides pair up as one corresponding pair. This forms the fraction AB/DE.

Through similar logic, we get the fraction BC/EF. We have BC and EF as the last two letters of ABC and DEF respectively. This fraction is equal to the previous fraction we set up (due to similar triangles having equal proportions).

Once again, the order of the letters matters to tell us how the sides and angles pair up together.

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In short, the key takeaway from that last section is that we can form this equation:

AB/DE = BC/EF

From here, we apply substitution and solve for x

So,

AB/DE = BC/EF

7x/7 = 4/x

7x*x = 7*4 .... cross multiplication

7x^2 = 28

x^2 = 28/7

x^2 = 4

x = sqrt(4)

x = 2

We only consider the positive square root because x is some side length. Negative x values are not allowed.

To wrap things up, use that x value to find AB

AB = 7x = 7*2 = 14

Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372

A) -9
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​

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On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
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C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout

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Patulong naman po need kona po ngayun to

Just zoom if you don't clearly see it
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DAY 5: 10/28-29/21
8.6.7
21. On a farm, a pigpen is 35 yards from a chicken coop, the chicken coop is 60 yards from a cow
pasture, and the distance between the pigpen and the cow pasture is 95 yards. Which
statement is true?
A
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 35 + 60 # 95.
B
The distances between the pigpen, chicken coop, and cow pasture do not form a right
triangle because 352 + 602 7952.
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 35 + 60 = 95.
с
D
The distances between the pigpen, chicken coop, and cow pasture form a right triangle
because 352 + 602 = 952.

Hi plz answer this I'll give u more points if u do

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