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telo118 [61]
3 years ago
9

1. The measure of angle GHI is 120°. Angle GHI is cut in half with ray HK, if angle

Mathematics
1 answer:
andrezito [222]3 years ago
3 0

Answer:

Step-by-step explanation:

Ray HK is an angle bisector, which means that it cuts the angle exactly in half.  So half of GHI is 60.  If GHK is 3x + 48, and that is half of angle GHI. then

3x + 48 = 60 and

3x = 12 so

x = 4

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Plot the numbers -5/6 and 8/3<br>on the number line below.​
Murljashka [212]

Answer:

-5/6= -0.8333

And

8/3=2.67

On the number line they will be

8 0
3 years ago
How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% a
Blababa [14]

To Find :

How many gallons of a 80​% antifreeze solution must be mixed with 100 gallons of 20​% antifreeze to get a mixture that is 70​% antifreeze.

Solution :

Let, x gallons of 80​% antifreeze solution is required :

So,

(x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500

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6 0
2 years ago
Analyze the diagram below and complete the instructions that follow. Find the area of QRS.
11Alexandr11 [23.1K]

<u>Answer-</u>

<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>

<u>Solution-</u>

According to properties of supplementary angles,

m\angle R+124=180\\\\m\angle Q+132=180

So,

\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48

As the sum of measurement of all the angles in a triangle is 180, so

\Rightarrow m\angle S+m\angle R+m\angle Q=180

\Rightarrow m\angle S=180-m\angle R-m\angle Q

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Then the area of the triangle will be,

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8 0
3 years ago
Miguel and Kat are reading the same book. Miguel reads 5 times as many
n200080 [17]

Answer:

k=\dfrac{m}{5}

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many  pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

k=\dfrac{m}5{}

Hence, the equation that can be used to find how many pages Kat read is equal to \dfrac{m}{5}.

6 0
2 years ago
Based on the side lengths given (a, b, and c), which triangles are right triangles?
Mekhanik [1.2K]

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem:   a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088   |   42^2 = 1,764     [NOT A]

B) 33^2 +56^2 = 4,225   |   65^2 = 4,225     [B IS CORRECT]

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D) 3^2 + 4^2 = 25  |   7^2 = 49     [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

7 0
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