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rjkz [21]
3 years ago
15

From the given angle measurements, you can’t directly find the measure of angle L. However, you can find the measurement of angl

e C, which is supplementary to angle L. Describe how to find the measurement of angle C using the measurements of angle A and angle B

Mathematics
2 answers:
DaniilM [7]3 years ago
8 0

The measurement of angle L = 50°.

Solution:

The given image is a rectangle.

The measurement of ∠A = 25°

The measurement of ∠B = 25°

ABC is a triangle.

Sum of the interior angles of the triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 25° + 25° + m∠C = 180°

⇒ 50° + m∠C = 180°

⇒ m∠C = 180° – 50°

⇒ m∠C = 130°

Sum of the adjacent angles in a straight line = 180°

⇒ m∠C + m∠L = 180°

⇒ 130°  + m∠L = 180°

⇒ m∠L = 180° – 130°

⇒ m∠L = 50°

Hence the measurement of angle L = 50°.

sergeinik [125]3 years ago
4 0

Answer:

180°

Step-by-step explanation:

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ziro4ka [17]

Answer:

13 and 14.

Step-by-step explanation:

So we have two consecutive integers.

Let's call the first integer a.

Since the integers are consecutive, the other integer must be (a+1) (one more than the last one).

We know that the sum of the greatest integer (or a+1) and twice the lesser integer (a) is 40. Therefore, we can write the following equation:

(a+1)+2(a)=40

The first term represents the greatest integer. The second term represents 2 times the lesser integer. And together, they equal 40.

Solve for a. Combine like terms:

a+1+2a=40\\3a+1=40

Subtract 1 from both sides. The 1s on the left cancel:

(3a+1)-1=(40)-1\\3a=39

Divide both sides by 3:

\frac{3a}{3}=\frac{39}{3}\\a=13

Therefore, a or the first integer is 13.

And the second integer is 14.

And we can check:

14+2(13)=14+26=40

8 0
3 years ago
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The braxton family goes ot for lunch and the price of the meal is $45. The sales tax on the meal is 6%and the family leaves a 20
jarptica [38.1K]

Answer:

56.70

Step-by-step explanation:

first determine the tax

45 * 6% = 45*.06 = 2.70

Then determine the tip

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A pool gained 10 gallons of water on Friday due to rain. How could the owner of the pool bring the water level back to its previ
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Answer

Let her kids play in the poop and splash out 10 gallons or Drain 10 gallons of water from the pool.

Hope this helped!!

Step-by-step explanation:

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What is the percent decrease if the original price is $582 and it went down 30%
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Answer:

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Step-by-step explanation:

What is the percent decrease if the original price is $582 and it went down 30%

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Check:

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The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.

We are given some solids. Solid geometry, or stereometry, is the traditional name for the geometry of three-dimensional Euclidean spaces in mathematics. Stereometry is concerned with measuring the volumes of various solid figures. The given solids are a cylinder, cone, sphere, and pyramid. We need to find the parallel cross-sections of the given solids. Parallel cross sections are cross sections of a solid that are parallel to each other. A cross section is a straight slice of an object. The parallel cross-sections of a cylinder, cone, sphere, and pyramid are a circle, a circle, a circle, and a square.

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