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VARVARA
1 month ago
14

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!

Mathematics
2 answers:
Svet_ta [12.7K]1 month ago
6 0

Answer:

x = 9

Step-by-step solution:

Given: KM bisects angle ∠JKL, with m∠JKL = 92°, and m∠MKL = (5x + 1)°.

Since KM bisects ∠JKL, it splits it into two equal angles.

So, m∠JKM = m∠MKL = (5x + 1).

Thus, m∠JKL = m∠JKM + m∠MKL = 2*(5x + 1).

Substituting the known value gives:

92° = 2*(5x + 1)

Dividing both sides by 2:

46 = 5x + 1

Subtract 1 from both sides:

45 = 5x

Divide both sides by 5:

x = 9

Therefore, the value of x is 9.

lawyer [12.5K]1 month ago
5 0

Answer:

x = 9

Solution explanation:

The key insight is understanding that angles JKM and MKL are congruent, which implies that MKL equals half of JKL. Using this fact, we can proceed:

Since MKL = JKL/2, substituting gives:

5x + 1 = 46

Therefore:

5x = 45

Dividing both sides by 5, we find:

x = 9

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The area of rectangle ABCD is represented by the expression 2x2 – 13x + 21. The area of rectangle WXYZ is represented by the exp
lawyer [12517]

Response:

Step-by-step breakdown:

2x²-13x+21+6x²+29x-5

=8x²+16x+16

5 0
22 days ago
7. You and a friend are paid $38.25 for doing yard
Svet_ta [12734]

Answer:

Step-by-step explanation: your friend would receive $17

and you would collect $21.25

I hope this helps!;))))

8 0
1 month ago
Read 2 more answers
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy
Svet_ta [12734]

Complete Question

Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.

What is the length of the pillow?

Provide an exact answer (no rounding).

Answer:

1.4m

Step-by-step explanation:

A wedge can be defined as a Triangular prism. Thus,

The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L

b = 0.5m

h = 1 m

l =??

Volume of the wedge = 0.35 m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

Solving for L, we get: L = 0.35/0.25

L = 1.4m

4 0
1 month ago
An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
zzz [12365]
The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

6 0
1 month ago
76% is between which of the following two numbers?
AnnZ [12381]

Hi there!

While there are no answer choices provided, here's how you can solve a problem like this.

To find the average of two numbers, you simply sum them up and divide by two!

For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!

For 100 and 580, adding gives you 680, and dividing by 2 results in 340!

The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!

Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!

So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!

I hope this information helps!

5 0
1 month ago
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