All categories

3 years ago

13. Find the measure of ZABC. Show your work.

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

47°

Step-by-step explanation:

In the picture attached, the problem is shown.

When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:

∠ABC = 1/2*(arc DE - arc AC)

Replacing with data from the picture:

∠ABC = 1/2*(142° - 48°)

∠ABC = 47°

You might be interested in

Experts please answer ASAP! Thank you in advance, and remember to wash your hands with antibacterial soap for 1 minute.

Tems11 [23]

area of trapezoid with dimensions $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ is $Area =10in^2$ .

<u>Step-by-step explanation:</u>

We know that area of trapezoid is , area = $(\frac{a+b}{2} )h$ , where a & b are bases and h is height . We have , $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ .

Area = $(\frac{a+b}{2} )h$

⇒ $Area = (\frac{a+b}{2} )h$

⇒ $Area = (\frac{b_1+b_2}{2} )h$

⇒ $Area = (\frac{4\frac{1}{4} +3\frac{3}{4}}{2} )(2\frac{1}{2} )$

⇒ $Area = (\frac{\frac{17}{4} +\frac{15}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{\frac{17+15}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{\frac{32}{4}}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{8}{2} )(\frac{5}{2} )$

⇒ $Area = (\frac{40}{4} )$

⇒ $Area =10in^2$

Therefore, area of trapezoid with dimensions $b_1 = 4\frac{1}{4} , b_2 = 3\frac{3}{4}, h = 2\frac{1}{2}$ is $Area =10in^2$ .

6 0

4 years ago

Describe an infinite geometric series with the beginning value of 2 that converges to 10 what are the first four terms of the se

damaskus [11]

Answer:

an = 2·(4/5)^(n-1)
2, 8/5, 32/25, 128/125

Step-by-step explanation:

The sum of an infinite geometric series is ...

S = a1/(1 -r)

where r is the common ratio. The sum will only exist if |r| < 1.

The problem statement tells us S = 10 and a1 = 2, so we have ...

10 = 2/(1 -r)

r = 1 -2/10 = 4/5

So the n-th term of the series is ...

an = a1·r^(n-1)

an = 2·(4/5)^(n-1)

For values of n = 1 to 4, the terms are ...

2, 8/5, 32/25, 128/125

4 0

4 years ago

At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real

deff fn [24]

9514 1404 393

Answer:

agency: $14,306
agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

0.046 × $311,000 = $14,306

The agent's commission was ...

0.25 × $14,306 = $3,576.50

The agency made $14,306; the agent earned $3,576.50.

4 0

2 years ago

I want to purchase a third of a cupcake for

never [62]

Answer:

Well it would be a total of 2 Cup Cakes

Step-by-step explanation:

1/3 + 1/3 + 4/3 =2

2/3 +4/3 = 6/3

4 0

3 years ago

Graph the function.<br> y = 3 square root x

s2008m [1.1K]

Answer:

x=3×3

Step-by-step explanation:

ok it's fine if you don't mind

8 0

3 years ago

13. Find the measure of ZABC. Show your work.​

13. Find the measure of ZABC. Show your work.