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Dafna11 [192]
2 years ago
12

One triangle has an angle of 81 degrees and the corresponding angle of the other triangle is 2x - 5 degrees, find the value of x

?
Mathematics
1 answer:
Delicious77 [7]2 years ago
8 0

Answer:

x=43

Step-by-step explanation:

Corresponding angles are equal. It is implied that the two angles referred to in the triangles are equal, otherwise they should not be labelled as corresponding.

Therefore, we can set both equations equal to each other:

2x-5=81^{\circ}

Add 5 to both sides:

2x=86

Divide both sides by 2:

x=\frac{86}{2}=\boxed{43}

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Adequate Preparation for Retirement. In 2018, RAND Corporation researchers found that 71% of all individuals ages 66 to 69 are a
Svetllana [295]

Answer:

A - Hopes this helps.

Step-by-step explanation:

4 0
2 years ago
Mae has a number cube with 6 sides that are numbered 1 through 6. What is the probability that Mae will roll an odd number?
Stels [109]

Answer:

C) P(E)  = \frac{3}{6}<u></u>

The probability that Mae will roll an odd number

<u></u>P(E)  = \frac{3}{6}<u></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that Mae has a number cube with 6 sides that are numbered 1 through 6.</em>

<em>n(S) = { 1,2,3,4,5,6,} = 6</em>

<em>Let 'E ' be the event of odd numbers</em>

<em>Mae will roll an odd number</em>

<em>n(E) = {1, 3, 5} = 3</em>

<u>Step(ii):-</u>

<u>The probability that Mae will roll an odd number</u>

<u></u>P(E) = \frac{n(E)}{n(S)} = \frac{3}{6}<u></u>

<u></u>P(E)  = \frac{3}{6}<u></u>

4 0
3 years ago
Can you help me with this question please? I will reward 20 points for best answer.
swat32

Answer:

Demand: q = -50p + 1200

Supply: q = 40p

Step-by-step explanation:

First let's define our variables.

q = quantity of T-shirts

p = price

We know that when p = 12, q = 600.  When p increases by 1, q decreases by 50.  So this is a line with slope -50 that passes through the point (12, 600).  Using point-slope form to write the equation:

q - 600 = -50 (p - 12)

Converting to slope-intercept form:

q - 600 = -50p + 600

q = -50p + 1200

Similarly, we know that when p = 9.75, q = 600 - 210 = 390.  When p increases by 1, q increases by 40.  So this is a line with slope 40 that passes through the point (9.75, 390).  Using point-slope form to write the equation:

q - 390 = 40 (p - 9.75)

Converting to slope-intercept form:

q - 390 = 40p - 390

q = 40p

5 0
2 years ago
This is just a test, but what’s 17 to the power of 9
Ganezh [65]

Answer:

118,587,876,497

Step-by-step explanation:

17^{9} = 17 * 17 * 17 * 17 * 17 * 17 * 17 * 17 * 17 = 118,587,876,497

7 0
3 years ago
Read 2 more answers
Solve the inequality for <br> 8w-35&lt; 3−(5-4w)<br><br> Simplify the answer as much as possible
Finger [1]

Answer:

w<33/4

Step-by-step explanation:

8w-35<3-(5-4w)

8w-35<3-5+4w

8w-35<-2+4w

8w-4w-35<-2

4w-35<-2

4w<-2+35

4w<33

w<33/4

7 0
3 years ago
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