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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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Alonzo describes a histogram as having a cluster from 20–50, a frequency of 0 from 10–20, and a peak at 40–50. Which histogram i
Ilia_Sergeevich [38]

Answer:

A

Step-by-step explanation:

In the histogram described by the first option, the peak (18) is located at 40-50. Also, a frequency of zero is observed for range 10-20. The cluster from 20–50 means that most of the data is between this range, in fact, only 1 point is located at range 0 - 10, outside this cluster.

8 0
3 years ago
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I think garden center grass seed sells for eight dollars per pound Haley spent $10 on grass seeds what amount of C did he buy
Yanka [14]
If seeds are 8 per pound then you need to find the unit rate and make a proportion with how much she spent. So you can make a ratio of 1(pound) / $8 compared to x(pounds) / $10. Then, cross-multiply.
 10 = 8x.   Divide both sides by 8
 10/ 8 = x  Simplify the fraction
 1 1/4 = x
So, she bought 1 1/4 pounds of seeds
6 0
3 years ago
A + c = 405 <br> 12a + 5c = $3,590
SOVA2 [1]

Answer:

a=223.57

c=181.43

Step-by-step explanation:

a=405-c

substitute for a in the equation :

12a+5c=3590

12(405-c)+5c=3590

4860-12c+5c=3590

-7c=3590-4860

-7c=-1270

c=1270/7=181.43

a=405-1270/7

a=1565/7=223.57

3 0
1 year ago
How is this worked out ? im confused.
Rudik [331]

Answer:

From the given ratio for tan\theta=\frac{4}{5} we found the values are

sin\theta=4  

cos\theta=5

csc\theta=\frac{1}{4}

sec\theta=\frac{1}{5}

cot\theta=\frac{5}{4}}

Step-by-step explanation:

Given the ratio for tan\theta=\frac{4}{5}

We have to find the rest of trignometric functions:

tan\theta=\frac{4}{5}\hfill (1)

tan\theta can be written as

tan\theta=\frac{sin\theta}{cos\theta}\hfill (2)

Comparing equations (1) and (2) we get

tan\theta=\frac{sin\theta}{cos\theta}=\frac{4}{5}

\frac{sin\theta}{cos\theta}=\frac{4}{5}

Equating the coressponding numerator and denominator respectively

Therefore sin\theta=4 and cos\theta=5

We can find csc\theta

csc\theta=\frac{1}{sin\theta}

=\frac{1}{4} (since sin\theta=4)

csc\theta=\frac{1}{4}

We can find sec\theta

sec\theta=\frac{1}{cos\theta}

=\frac{1}{5} (since cos\theta=5)

sec\theta=\frac{1}{5}

To find cot\theta:

cot\theta=\frac{1}{tan\theta}

=\frac{1}{\frac{4}{5}}

=1\times \frac{5}{4}

=\frac{5}{4}}

cot\theta=\frac{5}{4}}

7 0
3 years ago
How do I solve this?
Hunter-Best [27]

9514 1404 393

Answer:

  • x = 10
  • y = 19

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

  (8x +40)° +(6x)° = 180°

  14x +40 = 180 . . . . . . . . . divide by °, collect terms

  14x = 140 . . . . . . . . . subtract 40

  x = 10 . . . . . . . . divide by 14

__

We can use the same approach for y:

  (7y)° +(3y -10)° = 180°

  10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms

  y = 19 . . . . . . . . . . . divide by 10

5 0
2 years ago
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