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Sophie [7]
3 years ago
15

X = -12 is a vertical line.

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0
I think it true but I’m not sure
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determine the value of x for which r parallels s. then find the measure of angle 1 and the measure of angle 2measure angle 1= 50
Maslowich

According to the picture, angles 1 and 2 have the same measure because they are corresponding angles. Make equal both expressions for 1 and 2 and find x.

\begin{gathered} 50-2x=110-42x \\ 42x-2x=110-50 \\ 40x=60 \\ x=\frac{60}{40} \\ x=\frac{3}{2} \end{gathered}

x is 3/2. Replace this value in both expression to find the measure of each angle.

\begin{gathered} \measuredangle1=50-2x \\ \measuredangle1=50-2(\frac{3}{2}) \\ \measuredangle1=50-3 \\ \measuredangle1=47 \\ \measuredangle2=110-42x \\ \measuredangle2=110-42(\frac{3}{2}) \\ \measuredangle2=110-63 \\ \measuredangle2=47 \end{gathered}

The measure of these angles is 47°

7 0
1 year ago
A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. What rebate (in dollars) would
Mashcka [7]

Answer: he would receive a rebate of $1677.5

Step-by-step explanation:

A General Motors buyer-incentive program offered a 5.5% rebate on the selling price of a new car. This means that if the selling price of the new car is $x, the rebate (in dollars) that a customer would receive is

5.5/100 × x = 0.055 × x = 0.055x

Therefore, for a customer who purchased a $30,500 car under this program, the rebate that he would receive is

0.055 × 30500 = $1677.5

6 0
3 years ago
A number t<br> multiplied by −4<br> is at least −25<br> .
Olin [163]
+7 would be the answer i believe
6 0
3 years ago
Read 2 more answers
What is the volume of this pyramid?<br><br> • 7560 cm³<br> • 5040 cm³<br> • 2520 cm³<br> • 1728 cm³
gavmur [86]

Answer:

Volume = 2520 cm^3.

Step-by-step explanation:

The volume of a pyramid = 1/3 * area of the base * height.

The base of this pyramid is a triangle and its area

= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:

1/3 * 1/2 * 18 * 24 * 35

= 2520 cm^3.

6 0
3 years ago
Angles ABC and DBE are vertical angles, with angle ABC = 4x, and angle DBE =( 2x+18)
Dmitrij [34]
 V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.
3 0
3 years ago
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