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Gnoma [55]
3 years ago
14

In a triangle, one of the angle measures 70°

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

the two angles are 55° each

Step-by-step explanation:

Let the two equal angles be y each

Therefore,

70° + y + y = 180°

Collect like terms

2y = 180 — 70

2y = 110

Divide both side by the coefficient of y i.e 2

y = 110/2

y = 55°

Therefore, the two angles are 55° each

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A large bag of cashews weighs 8 1/3 pounds. One serving is1/3 pound.how many servings are in the bag
denis23 [38]

I'm pretty sure it is 3 servings.


4 0
3 years ago
The absolute value of 5 is -5 because -5 is the opposite of five. What is the error?
aksik [14]

The absolute value is |5| = -5

6 0
3 years ago
The second side of a triangular deck is 4 feet longer than the shortest side, and the third side is 4 feet shorter than twice th
xxTIMURxx [149]
We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.

Side 1: x
Side 2: x + 4
Side 3: 2x - 4

If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:

x + x + 4 + 2x - 4 = 4x.

Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.

4x = 64. Divide both sides by 4 to get x by itself.
x = 16.

Now that we know x is 16, we will substitute it in for all the side lengths’ equations.

We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.

Therefore, the final lengths of all the sides are:

Side 1: 16
Side 2: 20
Side 3: 28
5 0
3 years ago
Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are
Kruka [31]

Answer:

Step-by-step explanation:

The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of type A paint

x2 = sample mean of type B paint

s1 = sample standard deviation type A paint

s2 = sample standard for type B paint

n1 = number of samples of type A paint

n2 = number of samples of type B paint

From the information given,

x1 = 75.7

s1 = 4.5

n1 = 11

x2 = 64.3

s2 = 5.1

n2 = 9

x1 - x2 = 75.7 - 64.3 = 11.4

√(s1²/n1 + s2²/n2) = √(4.5²/11 + 5.1²/9) = √4.709

Degree of freedom = (n1 - 1) + (n2 - 1)

df = (11 - 1) + (9 - 1) = 18

For the 98% confidence interval, the z score from the t distribution table is 2.552

Margin of error = 2.552√4.709 = 5.55

The upper boundary for the confidence interval is

11.4 + 5.55 = 16.95 hours

The lower boundary for the confidence interval is

11.4 - 5.55 = 5.85 hours

The correct option is

B. 5.85 hrs < μ1 - μ2 < 16.95 hrs

4 0
3 years ago
Five times the difference of a number and twelve is greater than forty.
Naya [18.7K]

Answer:

This is the value in numbers.

5(n-12)>40

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(n−12)>40

Step 1: Simplify both sides of the inequality.

5n−60>40

Step 2: Add 60 to both sides.

5n−60+60>40+60

5n>100

Step 3: Divide both sides by 5.

5n

5

>

100

5

n>20

Answer:

n>20

6 0
2 years ago
Read 2 more answers
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