All categories

2 years ago

Given triangle JKL is congruent to triangle PQR. Find x and RP x= RP=

Mathematics

1 answer:

sergejj [24]2 years ago

6 0

Answer:

RP=15

x=14

Step-by-step explanation:

ΔJKL≅ΔPQR so JK=PQ, KL=QR, and JL=PR.

KL=3y-2 and QR=22

So, 3y-2=22 and 3y=24 and y=8

Now, that we know y=8 we can plug it in 2y-1 to find RP

2(8)-1=16-1=15

In congruent triangles, the corresponding angles are also congruent.

So, ∠K≅∠Q

∠K=42 and ∠Q=3x

So, 42=3x and x=14

You might be interested in

If I told you that Mexico's population was 100,000,000 and that their population growth rate was 3.5%, then what would their pop

Stels [109]

Answer:

The population one year from now would be 103,500,000

Step-by-step explanation:

The current population is 100,000,000

Growth rate of 3.5%.

So the population one year from now is 3.5% of the current population(100,000,000) added to the current population(100,000,000).

3.5% of 100,000,000 is 0.035*100,000,000 = 3,500,000.

Added to 100,000,000

100,000,000 + 3,500,000 = 103,500,000

The population one year from now would be 103,500,000

7 0

3 years ago

Write the equation of the line in point slope form that travels through the points (0,5) and (3,7)

Bond [772]

Answer:

y=2/3x+5

Step-by-step explanation:

to find the slope you subtract the y's from each other, and the x's from each other then put the y over the x, bam that's the slope. the y intercept is 5 cause the point is (0,5)

4 0

2 years ago

Which statement is true about point F? a.F is the midpoint of AA' because bisects AA'. b.F is the midpoint of EG because AA' bis

Dimas [21]

Answer:

The correct option is;

a. F is the midpoint of $\overline{AA'}$ because line $\overline{EG}$ bisects $\overline{AA'}$

Step-by-step explanation:

Here, since we have that the triangle is reflected across EG therefore the location of the point F which is along EG bisects the line $\overline{AA'}$ as the dimensions of the line from A to F must be equal to the dimension of the line that extends from A' to F

Therefore the point F is the midpoint of $\overline{AA'}$ because line $\overline{EG}$ bisects $\overline{AA'}$ .

7 0

3 years ago

Oliga [24]

The bus driver arrives in Oban at 11:20

5 0

3 years ago

Read 2 more answers

What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B4%7D%7B5%7D%20" id="TexFormula1"

frosja888 [35]

Multply both sides of the equation by 7.

$\dfrac{x}{7}\cdot 7=\dfrac{4}{5}\cdot 7\\\\x=\dfrac{28}{5}=5.6$

_____

When the variable is in the numerator of a proportion like this, you can solve it by multiplying by that denominator. That multiplication cancels the denominator and gives you the value of the variable.

In general, you multiply by the reciprocal of the coefficient of x. When that coefficient is 1/7, you multiply by 7/1. Of course, you know that 7/7 = 1 and that x/1 = x.

7 0

3 years ago