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kolbaska11 [484]
2 years ago
13

NEED HELP!! 30 POINTS! HAS TO BE CORRECT AND NEED THE ANSWER NOOW!

Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Answer: options b and c

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

∠ACD is supplementary to ∠ACE  <em>given</em>

∠ACD is supplementary to ∠BCD   <em>given</em>

⇒ ∠ACE is supplementary to ∠BCD   <em>transitive property</em>


∠ACD ≅ ∠BCE   <em>given</em>

⇒ ∠BCE is supplementary to ∠ACE  <em>substitution</em>

and ∠BCE is supplementary to ∠BCD   <em>substitution</em>

********************************************************************************

multiple choice options:

a) ∠ACE is supplementary to ∠BCD    <em>False</em>

b) ∠BCE is supplementary to ∠ACE    <em>TRUE</em>

c) ∠BCD is supplementary to ∠BCE    <em>TRUE</em>

d) ∠ACE ≅ ∠BCE                                   <em> False</em>

e) ∠BCD ≅ ∠ACE                                   <em>False</em>


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The length of a rectangle is 3 inches longer than half of its width. The area of the rectangle is 416 square inches. How many in
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Answer:

C. 26 Inches

Step-by-step explanation:

Using process of elimination you can tell the answer. 26*(13+3)=416

8 0
2 years ago
Rally sold 30 flower baskets at a market. She purchased 30 baskets for $142.65, 185 yards of ribbon for $.07 per yard, and $252.
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Answer:

She spent 142.65 for baskets, 252.50 for flowers and 185 * 0.07 or 12.95 for ribbons for a total outlay of 408.10. Since she made 30 baskets, that is 408.10/30 = 13.60 1/3 per basket.

If she sold all 30 for 25.99 each, that is 779.70 for a profit of 361.60

Step-by-step explanation:

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3 years ago
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7 0
3 years ago
2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
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Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
2 years ago
Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two da
KengaRu [80]

Answer:

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Step-by-step explanation:

We have been given that Nigel is planning his training schedule for a marathon over a 4-day period. He is uncertain how many miles he will run on two days. One expression for the total miles he will run is 12+y+17+z.

The Commutative Property of Addition states that we can add numbers in any order. For example a and b be two numbers.

According to Commutative Property of Addition a+b=b+a.

Similarly, we can write an equivalent expression to our given expression as:

12+17+y+z

We can simplify our expression as:

29+y+z.

Therefore, our required expression would be 12+17+y+z or 29+y+z.

4 0
3 years ago
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