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andreev551 [17]
3 years ago
5

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°

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Which statement correctly compares the parking rates for each lot?
cupoosta [38]

Answer: O Lot B costs $0.01 more

Step-by-step explanation: I think it’s O Lot B costs $0.01 more per hour than Lot A

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3 years ago
∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)
Angelina_Jolie [31]

Answer:

x + 10 + 3x + 28 = 90

4x = 52

x= 13

Step-by-step explanation:

Angle B = 67

8 0
3 years ago
How many quarters are thee in 4 1/2​
Neko [114]

Hi there!

quarter:18

<u><em>1.Find common denominator in 4 and 1/2:</em></u>

<u><em /></u>4=\frac{1}{4}<u><em /></u>

<u><em /></u>\frac{1}{2}=\frac{2}{4}<u><em /></u>

<u><em>2.Convert 4 2/4 into mixed number:</em></u>

<u><em /></u>4\frac{2}{4}=\frac{18}{4}<u><em /></u>

<u><em>3.Divide 18/4 by 1/4:</em></u>

<u><em /></u>\frac{18}{4}*\frac{1}{4}=18<u><em /></u>

Therefore, there is 18 quarters in 4 1/2.

4 0
2 years ago
What is the sale tax for a purchase of $2,500 and what is the cost of an item with a sales tax of $108?
Andrews [41]

Answer:

<em>4.32%</em>

Step-by-step explanation:

Step 1:

To solve this, we must know how to find sales tax first. Let's use this equation:

t = p × r

Let t stand for the total amount of sales tax

Let c stand for the purchase

Let r stand for the sales tax rate.

Step 2:

Now, let us plug in what is given. We know that the purchase made cost $2,500:

t = $2,500 x r

Annddd, we also know that the sales tax is $108:

$108 = $2,500 x r

Therefore, our equation is:

$108 = $2,500 x r

Step 3:

We can simplify this to:

$108 = $2,500r

Step 4:

All we need to do is divide each side by 2500 because the goal is get r all by itself

\frac{108}{2500} =\frac{2500r}{2500}

Step 5:

This gives us:

r = 0.0432

Step 6:

We're not done! Since we are dealing with a percentage, we would multiply .0432 by 100% and that gives us our final answer of


4.32% is our sales tax


5 0
3 years ago
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