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2 years ago

What is the measure of the angle shown? Will mark brainliest!

Mathematics

1 answer:

FrozenT [24]2 years ago

3 0

Answer:

142

Step-by-step explanation:

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Secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40o, arc AB = 60o, and arc BC = 160

s344n2d4d5 [400]

Answer:

C. $130^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc $CD = 40^o$ , arc $AB = 60^o$ , and arc $BC = 160^o$ . We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.

$\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}$

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

$\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})$

$\widehat{AD}=360^{\circ}-(260^{\circ})$

$\widehat{AD}=100^{\circ}$

$\angle AED=\frac{160^{\circ}+100^{\circ}}{2}$

$\angle AED=\frac{260^{\circ}}{2}$

$\angle AED=130^{\circ}$

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

6 0

2 years ago

It take Andre 4 minutes to swim 5 laps.

Liula [17]

Answer:

a. 1.25 laps per min

b. .8 min per lap

c. 17.6 minutes

Step-by-step explanation:

5 0

2 years ago

Write the equation of the line MN, which is formed by the points M(-3,5) and N(2,0)

belka [17]

The equation is <span>y = -x + 2</span>

3 0

2 years ago

Read 2 more answers

What is the value of the expression?<br><br> 5^2 - 3^0

Vlad1618 [11]

5^2 = 25
3^0 = 1 (anything that is exponented by 0 is 1)

25 - 1 = 24

24 is your answer

hope this helps

5 0

2 years ago

Read 2 more answers

I cant believe how bad my brother, Reuben, is at growing things. He bought a whole bunch of plants at the nursery the other day.

jeka94

Answer:

68 plants.

Step-by-step explanation:

Let x represent the number of plants that Reuben bought from the nursery.

We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be $x-5$ .

We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be $\frac{2}{9}(x-5)$ .

Further a rabbit came and ate ½ of what was left. So number of plants left would be $\frac{\frac{2}{9}(x-5)}{2}=\frac{2}{9\times 2}(x-5)=\frac{1}{9}(x-5)$ .