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alexgriva [62]
3 years ago
13

Find the measure of

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

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Lea won 45piecies of gum playing hoops at here school game night later she gave one to each Of her friends she only has 27 remai
Genrish500 [490]

Answer:

18

Step-by-step explanation:

45-27=18

6 0
3 years ago
Mary is creating valentine’s Day card for her friends and can choose from white,red,or pink construction paper to create a heart
IRINA_888 [86]

Answer:

(1/9)

Step-by-step explanation:

Mary can choose from white,red,or pink construction paper to create a heart.

And she can use black, blue or green marker to write out her message and she can’t finish the valentine by sprinkling gold or silver glitter.

The probability that her valentine to her friend will be on either red or pink construction paper with black marker and gold glitter.

The probability that she uses red or pink construction paper = (2/3)

(since red or pink are two out of the total 3 sample spaces available for construction paper)

Probability that she uses black marker = (1/3)

(Black is one of the 3 sample spaces for markers)

Probability that she uses gold glitter = (1/2)

(Gold glitter is one of two sample spaces for glitters)

The required probability is then

(2/3) × (1/3) × (1/2) = (1/9)

Hope this Helps!!!

5 0
4 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.
sweet-ann [11.9K]

When the triangle XYZ is dilated by a scale factor of 2, the resulting triangle ACB would have a bigger side lengths

<h3>How to determine the relationship between the trigonometry ratios?</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following points are corresponding:

X and A

Y and C

Z and B

So, the relationships between the trigonometry ratios are:

sin(X) = sin(A)

sin(Y) = sin(C)

sin(Z) = sin(B)

<h3>How to determine the measures of segments CB and AB?</h3>

Segments CB and AB are corresponding to the segments YZ and XZ, respectively

So, we multiply the values of YZ and XZ to get the lengths of CB and AB,

i.e.

CB = 2 * YX

AB = 2 * XZ

Read more about dilation at:

brainly.com/question/26332230

7 0
3 years ago
What is the equation for a circle given it’s center is at (4, -1) and it’s radius is 5
motikmotik

Answer:

(x-4)^2 + (y+1) ^2 = 25

Step-by-step explanation:

We can write the equation for a circle

(x-h)^2 + (y-k) ^2 = r^2

Where (h,k) is the center and r is the radius

(x-4)^2 + (y- -1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 5^2

(x-4)^2 + (y+1) ^2 = 25

7 0
3 years ago
Matthew walks Ask Your Teacher mile to Zack's house. Which fraction is equivalent to Ask Your Teacher?
sp2606 [1]

Question:

Matthew walks 4/10 to mile to Zack's house. Which fraction is equivalent to 4/10?​

Answer:

Fraction = \frac{2}{5}

Step-by-step explanation:

Given

Fraction = \frac{4}{10}

Required

Determine its equivalent

To do this, we simplify the fraction

Divide by 2/2

Fraction = \frac{4/2}{10/2}

Fraction = \frac{2}{5}

<em>Hence, 2/5 is an equivalent fraction</em>

4 0
3 years ago
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