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V125BC [204]
3 years ago
9

Quadrilateral ABCD is inscribed in circle O. What is ​ m∠B ​ ? Enter your answer in the box. ° A quadrilateral is inscribed in a

circle O. The vertices of the quadrilateral lie on the edge of the circle and are labeled as A, B, C, and D. The interior angle A is labeled as left parenthesis 2 x minus 7 right parenthesis. The angle B is labeled as left parenthesis 2 x plus 3 right parenthesis. The angle C is labeled as left parenthesis x plus 4 right parenthesis.

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

m

Step-by-step explanation:

Step 1

Find the value of x

we know that

In an inscribed quadrilateral the opposites angles are supplementary

so

In this problem

m

substitute the values and solve for x

(2x-7)+(x+4)=180\°

3x-3=180\°

3x=183\°

x=183\°/3=61\°

step 2

Find the measure of angle B

m

substitute the value of x

m

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Line segment AB was translated 2 units right and 7 units down to create line segment CD. A transversal intersects the two line s
belka [17]
These are correct statements:

<span>- Line segments AB and CD are parallel.

- </span>Since ∠1 and ∠3 are corresponding angles, they are congruent.
These are incorrect statements:

- <span>Since ∠3 and ∠4 are corresponding angles, they are congruent. They are not corresponding angles, they are supplementary meaning they, together, equal 180.

- </span><span>Since ∠1 and ∠2 are corresponding angles, they are congruent. These are also not corresponding, they are supplementary.

- </span><span>Line segments AB and CD are perpendicular. They are not crossing over each other.</span>

- <span>Since ∠1 and ∠4 are alternate interior angles, they are congruent. They are not corresponding, they are supplementary. </span><span>∠1 and </span><span>∠3 are corresponding just like </span>∠2 and <span>∠4. </span>






6 0
3 years ago
-9/11 multiplied by -11/9
Sunny_sXe [5.5K]
99/99= 1
(Mark me the brainliest)
4 0
3 years ago
The average amount that a college student spends on a textbook is $205. What is the probability that a students spends between $
garri49 [273]

Complete question :

The average amount that a college student spends on a textbook is $205 with a

standard deviation of $35. What is the probability that a student spends:

A. between $10 and $310?

Answer:

0.999

Step-by-step explanation:

Mean, m = 205 ; Standard deviation, s = 35

Z = (x - m) / s

x = 310

Z = (310 - 205) / 35 = 3

P(z < 3) = 0.99865

x = 10

Z = (10 - 205) / 35 = - 5.57

P(Z < - 5.5)

P(z < 3) - P(z < - 5.5)

0.99865 - 0

= 0.999

5 0
3 years ago
The inequality 10.45b + 56.50 &lt; 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceedin
PSYCHO15rus [73]
We solve the inequality by subtracting 56.50 from both sides of the equation,
                                10.45b + 56.50 - 56.50 < 292.67 - 56.50 
                                        10.45b < 236.17
Then, divide both sides of the inequality by 10.45
                                             b < 22.6
The solution suggests that the number of boxes than can be loaded on a truck without exceeding the weight limit of the truck should always be lesser than 22.6. Since we are talking about number of boxes, the maximum number of boxes that can be loaded should only be 22. 
6 0
3 years ago
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A hot air balloon went from an elevation of 4,064 feet to an elevation of 3,322 feet in 28 minutes. What
ELEN [110]

Answer:

<em>The air balloon descends 26.5 feet per minute</em>

Step-by-step explanation:

<u>Rate of Change</u>

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

\displaystyle R=\frac{3,322-4,064}{28}=\frac{-742}{28}=-26.5

Thus the air balloon descends 26.5 feet per minute

3 0
3 years ago
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