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jeyben [28]
3 years ago
9

I need help please, If triangle JKL is congruent to QRS, find each missing value

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

x = 5, y = 17, z = 8

Step-by-step explanation:

   Since the triangles are congruent to each other, corresponding angles and sides are congruent to each other.

JL corresponds with QS so...

3x - 1 = 14

3x = 15

x = 5

RS corresponds with LK so...

y + 10 = 27

y = 17

Angle L corresponds with angle S so...

180 - 58 - 87 = 4z + 3

35 = 4z + 3

32 = 4z

z = 8

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Please help on this!!!! Thanks!!
vesna_86 [32]

Answer:

TU = 2 (HD)

Hence, TU = 80

Step-by-step explanation:

line formed by joining 2 mid points of a traingle = 0.5 times of length of 3rd side.

6 0
3 years ago
Read 2 more answers
Jake tosses a coin up in the air and lets it fall on the ground. The equation that
Phoenix [80]

Answer:

t = 1.71825

Step-by-step explanation:

Given

h(t) = -16t^2 + 24t + 6

Required

When will the coin hit the ground

When the coin hits the ground, h(t) = 0

The expression h(t) = -16t^2 + 24t + 6 becomes

0 = -16t^2 + 24t + 6

Multiply through by -1

16t^2 - 24t - 6 = 0

Solve using quadratic formula

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = 16

b = -24

c = -6

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}

t = \frac{24\±\sqrt{576 +384}}{32}

t = \frac{24\±\sqrt{960}}{32}

t = \frac{24\±30.984}{32}

Split

t = \frac{24+30.984}{32} or t = \frac{24-30.984}{32}

t = \frac{54.984}{32} or t = \frac{-6.984}{32}

t = 1.71825 or t = -0.21825

But time can't be negative;

So:

<em>Time to hit the ground is 1.71825 seconds</em>

7 0
4 years ago
I need help with this pls
Aleks [24]

Answer:

the sum of interior angles of a triangle is =180

so.......

80 + 40 + x=180

120 + x= 180

x = 180 - 120

x = 60

60 is an acute angle

If you understand please like and follow me

5 0
3 years ago
Simplify the expression (x12)3
andreyandreev [35.5K]
I hope this helps you

3 0
4 years ago
Read 2 more answers
A soccer stadium has 40,218 seats. For one game 37,842 people came to the stadium . Estimate the number of empty seats at the ga
zaharov [31]

First, subtract 40,218-37,842

ex.    40218

        -37842

      -------------

         2,376


Then, round 2,376 to the nearest thousands

2,376 -> 2,000

2,000 is your answer

6 0
3 years ago
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