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2 years ago

Give The measures of the angle that is complementary to the given angle

Mathematics

1 answer:

ivolga24 [154]2 years ago

7 0

Step-by-step explanation:

We know that

Sum of two complementary angles is 90°
Let the other angle be x

<h3>So</h3><h3> $\rm \dashrightarrow \: x + 54 = 90 \\ \rm \dashrightarrow \: x = 90 - 54 \\ \rm \dashrightarrow \: x = 36$ </h3>

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BRAINLIEST!!!

Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

7 0

3 years ago

Given the preimage and image,find the dilation scale factor.

Oliga [24]

Answer:

The dilation scale factor is $\frac{1}{2}$ .

Step-by-step explanation:

The image is the dilated form of its preimage if and only if the following conditions are observed:

1) $K' = \alpha_{1} \cdot K$

2) $T' = \alpha_{2} \cdot T$

3) $P' = \alpha_{3} \cdot P$

4) $J' = \alpha_{4} \cdot J$

5) $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$

If we know that $K = (2, 0)$ , $K' = (1, 0)$ , $T = (3, 0)$ , $T' = (1.5,0)$ , $P = (1, 5)$ , $P' = (0.5, 2.5)$ , $J = (0, 3)$ and $J' = (0, 1.5)$ , then the coefficients are, respectively:

$\alpha_{1} = \frac{1}{2}$ , $\alpha_{2} = \frac{1}{2}$ , $\alpha_{3} = \frac{1}{2}$ , $\alpha_{4} = \frac{1}{2}$

As $\alpha_{1} = \alpha_{2} = \alpha_{3} = \alpha_{4}$ , we conclude that the dilation scale factor applied in the preimage is equal to $\frac{1}{2}$ .

7 0

3 years ago

Anonymous 3 years ago

amm1812

Two angles are said to be complementary, if the sum of the measures of the to angles is equal to 90 degrees.

Thus, given that HFG is complementary to ACB, them mHFG + mACB = 90 degrees.

From the figure, given that the line from point F meats line CE at point P, then HFG = CFP.
But mCFE = 90 degrees and mCFE = mCFP + mPFE
Also PFE = DFH

Thus, mCFE = mCFP + mPFE = mHFG + mDFH = 90 degrees

Recall that mHFG + mACB = 90 degrees

Thus, mHFG + mACB = mHFG + mDFH

Therefore, mACB = mDFH.

5 0

3 years ago

Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece

diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

The close answer choice is 8
28/8 = 3 1/2 or 3.5
So if cut into 3.5 inch pieces then it is 8 full pieces
just in case it was typo 3 instead of 3.5

8 0

3 years ago

Read 2 more answers

Giving BRAINLEST PLEASE HELP!

kicyunya [14]

Answer:

The answer to the first one should be $27.32 is what the full bill costs with tax.

The answer to the second one they added an 18% tip ontop.

Step-by-step explanation:

The explanation for the second one is 27.32*.18=4.92+27.32=32.24 meaning they gave an 18% tip.

4 0

3 years ago