All categories

2 years ago

^DEF and ^RSQ are shown in the diagram below

Mathematics

1 answer:

lakkis [162]2 years ago

6 0

Answer:

53.3 degrees

Step-by-step explanation:

∆DEF and ∆RSQ are similar. We know this, because the ratio of their corresponding sides are equal. That is:

DE corresponds to RS

EF corresponds to SQ

DF corresponds to RQ.

Also <D corresponds to <R, <E corresponds to <S, and <F corresponds to <Q.

The ratio of their corresponding sides = DE/RS = 6/3 = 2

EG/SQ = 8/4 = 2

DF/RQ = 4/2 = 2.

Since the ratio of their corresponding sides are equal, it means ∆DEF and ∆RSQ are similar.

Therefore, their corresponding angles would be equal.

Thus, m<Q = m<F

Let's find angle F

m<F = 180 - (98 + 28.7)

m<F = 53.3°

Since <F corresponds to <Q, therefore,

m<Q = 53.3°

You might be interested in

G solve the equation, and check the solution. R plus 7 equals 9r+7=9 the solution set is startset nothing endset . (type an in

xenn [34]

<h3>Given</h3>

... r + 7 = 9

... r

<h3>Solution</h3>

Subtract 7 from both sides of the equation.

... r + 7 - 7 = 9 - 7

... r = 2 . . . . . . simplify

Expressed as a solution set, this may look like ...

... r ∈ {2}

_____

You probably had no trouble solving this in 2nd grade when it was shown to you in the form ...

__ + 7 = 9

7 0

2 years ago

I hope someone can helpp mee

almond37 [142]

Answer:

The figure moves up 3 and to the left 5.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

100 POINTS

weeeeeb [17]

The blanks are as follows:

Angle addition postulate
Subtraction property of equality
Corresponding sides of similar triangles are proportional
Multiplication property of equality

8 0

1 year ago

For a line that goes through points (2,-2) and (1.-6), what is the equation

sesenic [268]

Answer:

$y + 6 = 4[x - 1]\:or\:y + 2 = 4[x - 2]$

Step-by-step explanation:

First find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{2 - 6}{-2 + 1} = \frac{-4}{-1} = 4$

Then plug each of these coordinates into the Point-Slope Formula, $y - y_1 = m[x - x_1].$ Now remember, in this formula, all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS:

$y + 6 = 4[x - 1]\:or\:y + 2 = 4[x - 2]$

I am joyous to assist you anytime.

4 0

2 years ago

Solve the Equation. 14x+28=14

Korvikt [17]

Answer:

x= -1

Step-by-step explanation:

1. First, you need to combine like terms. Constants with constants and variables with variables. Since there is only one variable, there is nothing to combine it with so nothing happens to it. The constants, on the other hand, can combine.

2. You have to subtract 28 from 28 and 14 so that +28 can cancel out on the left side and combine on the right.

3. That will leave you with 14x= -14.

4. Now you need to get x on its own so you need to divide 14 (opposite of multiplication to cancel out) on both sides.

5. That will leave you with x= -1. That is your final answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

8 0

2 years ago