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2 years ago

Find the value of x in each pair of similar figures. Use proportions to solve.

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

8 0

Answer:

x=15

Step-by-step explanation:

3/5=9/x

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

2 years ago

For function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)<br>

lawyer [7]

Answer:

$g(3) = 13$

Step-by-step explanation:

Given

$g(0) = 1$

$g(1) = 5$

Required

Find g(3)

Since g(x) is a linear function, then:

$g(x) = mx + c$

For: $g(0) = 1$

$g(x) = mx + c$

$g(0) = m*0 + c$

$1 = 0 + c$

$1 = c$

$c = 1$

For: $g(1) = 5$

$g(x) = mx + c$

$g(1) = m * 1 + c$

$5 = m * 1 + c$

$5 = m + c$

Substitute $c = 1$

$5 = m + 1$

$m = 5 - 1$

$m =4$

So, the function is:

$g(x) = mx + c$

$g(x) = 4x + 1$

Calculate g(3)

$g(3) = 4*3 + 1$

$g(3) = 12 + 1$

$g(3) = 13$

3 0

2 years ago

R + 4 > 8; r =2 is a solution

tiny-mole [99]

Answer:r>4

Step-by-step explanation: You just subtract four from both sides

7 0

2 years ago

Write 47/21 as a decimal rounded to the nearest tenth

aleksley [76]

The answer is 2.2 .... hope this helps!! :D

6 0

2 years ago

Read 2 more answers

The population of a town is 2100 and increasing at a rate of 1.3% per year, while the number of cats in the town is currently 10

stich3 [128]

Answer:

when # cats exceeds 2,313

Step-by-step explanation:

if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.

6 0

2 years ago