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2 years ago

Proving Angles Congruent: Find the value of x. (5x+15) degrees = (6x-10) degrees

Mathematics

2 answers:

Andrew [12]2 years ago

6 0

Answer:

25 = x

Step-by-step explanation:

If the angles are congruent, they are equal

5x+15 = 6x-10

Subtract 5x from each side

5x+15 -5x = 6x-5x-10

15 = x-10

Add 10 to each side

15+10 = x-10+10

25 = x

Romashka [77]2 years ago

6 0

Answer:

25=x

Step-by-step explanation:

Give the other person brainliest :)

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Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with sim

ahrayia [7]

Answer:

simple interest is $6.8

Miguel pay amount to Julio at the end of 6 months $206.8

Step-by-step explanation:

Given : Miguel Rodriguez borrowed $200 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.8%.

To Find : a) How much will the interest amount to?

b) What amount must Miguel pay Julio at the end of 6 months?

Solution :

Formula for simple interest :

$S.I. = principal*rate*time$

Where rate is in decimal

Time is in years

So, rate of interest = 6.8 % = 0.068

Time = 6 months = $\frac{6}{12} = 0.5 years$

Principal = $200

Thus $S.I. = 200*0.068*0.5$

$S.I. = 6.8$

Now To calculate amount must Miguel pay Julio at the end of 6 months

Amount = principal +Simple interest

Amount = 200+6.8 =206.8

Hence the simple interest is $6.8

And Miguel pay amount to Julio at the end of 6 months $206.8

7 0

2 years ago

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You have a score of 700 but your credit score gets affected by having too much debt and you lose 5% of your credit score. What i

Lynna [10]

700*5/100 = 3500/100 = 35

700 - 35 = 665

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2 years ago

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50 points for who ever helps <br> 5√x 14 <br> simplify

mina [271]

Answer:

5√14x

Step-by-step explanation:

reorder factors, let me know if im right

5 0

2 years ago

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A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp

motikmotik

Answer:

There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) $H_0: \bar x= 12 oz\\H_a: \bar x >12$

(Right tailed test)

Mean difference /std error = test statistic

$\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99$

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that the mean net contents exceeds 12 oz.

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2 years ago

Find the sum of the first 48 terms of the following series, to the nearest integer.

Usimov [2.4K]

Step-by-step explanation:

∑k=150(3k+2)

First find a1 and a50 :

a1=3(1)+2=5a20=3(50)+2=152

Then find the sum:

Sk=k(a1 + ak)2S50=50(5 + 152)2=3925

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2 years ago

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