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LenKa [72]
3 years ago
12

The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6

° C. 22.6° D. 110.4°
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°, hence

3x + 9 + 2x + 2 = 180, that is

5x + 11 = 180 ( subtract 11 from both sides )

5x = 169 ( divide both sides by 5 )

x = 33.8

Hence the smaller angle has a measure of

2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B

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If pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’ B’ C’ D’ E’, what is the ordered pair of point
Naddik [55]
You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.

For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)

<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)

Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates

Hope this helps :)

5 0
3 years ago
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan
azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

P = 0.1*0.5 + 0.4*0.5 = 0.25

There are a 25% probability that Christine fails the course.

6 0
3 years ago
What is -19 divided by 7
LenaWriter [7]
-19 ÷ 7 = -2.7142857142857143

7 0
3 years ago
What is the image of (9,-2)after a reflection over the line y=x?
lys-0071 [83]

Answer:

(- 2, 9 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ), thus

(9, - 2 ) → (- 2. 9 )

4 0
3 years ago
Live fund are selling their holdings at $5,000 per share. how much would live fund receive if they sold half their holding in Ma
Marina86 [1]

Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is T.

Then obviously half the holdings (or half the number of shares) of Live Fund will be \frac{T}{2}.

Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is \frac{T}{2} will be:

5000\times \frac{T}{2} =2500T dollars or $2500T.

Thus, Live Fund will receive $ 2500T if they sold half their holding in Marks Brothers.

4 0
3 years ago
Read 2 more answers
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