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Gelneren [198K]
4 years ago
11

Look at the given image. Which of the following statements, if true, would alone prove p || 4?

Mathematics
1 answer:
marissa [1.9K]4 years ago
5 0

Answer

(C) \angle d \cong \angle g

Explanation:

Congruence of these two angles directly implies p||q.

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How to find the value of the combination? Show your work! Thansk!
elena-14-01-66 [18.8K]

Answer:

A

Step-by-step explanation:

Using the definition

nC_{r} = \frac{n!}{r!(n-r)!}

where n! = n(n - 1)(n - 2).... × 3 × 2 × 1

Then evaluating numerator and denominator

10C_{3}

= \frac{10!}{3!(7!)}

= \frac{10(9)(8)(7)(6)(5)(4)(3)(2)(1)}{3(2)(1)(7(6)(5)(4)(3)(2)(1)}

Cancel 7(6)(5)(4)(3)(2)(1) on numerator/ denominator, leaving

= \frac{10(9)(8)}{3(2)} = \frac{720}{6} = 120

-------------------------------------------------------------------------------------

6C_{4}

= \frac{6!}{4!(2!)}

= \frac{6(5)(4)(3)(2)(1)}{4(3)(2)(1)(2)}

Cancel 4(3)(2)(1) on numerator/ denominator, leaving

\frac{6(5)}{2} = \frac{30}{2} = 15

-------------------------------------------------------------------------------------

Dividing numerator by denominator gives

\frac{120}{15} = 8 → A

4 0
3 years ago
A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk​ camera, a basic came
saul85 [17]

Answer:

The percentage of customers who buy an extended warranty is 33%.

Step-by-step explanation:

In this problem, we have these following percentages.

35% of the customers select the basic camera.

This also means that:

65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).

20% of those who select the basic camera also purchase the extended warranty.

40% of those who select the deluxe version also purchase the extended warranty.

What is the percentage of customers who buy an extened warranty?

P = P_{1} + P_{2}

P_{1} is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So

P_{1} = 0.20*0.35 = 0.07

P_{2} is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So

P_{2} = 0.40*0.65 = 0.26

P = P_{1} + P_{2} = 0.07 + 0.26 = 0.33

The percentage of customers who buy an extended warranty is 33%.

3 0
4 years ago
Wyoming's population is 5x10(to the power of 5) While Colorado's population is 5,000,000. How can you complete this sentence? Wy
adelina 88 [10]
Wyoming’s population is equals to:
=> 5 x 10^5
Colorado’s population is equals to
=> 5 000 000
Now, we need to find the answer which population is greater. First, let’s solve the Wyoming’s population:
=> 5 x 10^5
=> 5 x (10 x 10 x 10 x 10 x 10)
=> 5 x 100 000
=> 500 000
=> Colorado vs Wyoming = 5 000 000 vs 500 000
Thus, Wyoming population is 0.1 times the population of Colorado.
=> 5 000 000 x 0.1 = 500 000



6 0
3 years ago
Lincoln Middle School had a canned food drive. The 6th graders brought in 5.75 boxes of canned food, the 7th graders brought in
irinina [24]
Everybody brought in 19.25 boxes of food
7 0
3 years ago
Someone please help I got a movie on the line
andrew-mc [135]

Answer:

(-6, -3)?

Step-by-step explanation:

8 0
3 years ago
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