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2 years ago

What is the measure of angle aec?

Mathematics

2 answers:

garik1379 [7]2 years ago

7 0

Well what does it look like? I'll be glad to help but it would be easier with a picture.

harina [27]2 years ago

4 0

Yes you better show the picture

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Apply the distributive property to factor out the greatest common factor. 18d+12 =18d+12=18, d, plus, 12, equals? (plz help quic

qaws [65]

Answer:

Answer is 6(3 d+2)

Step-by-step explanation:

It is given the expression as 18d+12

Let's find common factor by prime factoring the terms.

18 d =2*3*3*d

12= 2*2*3

Common factors for both terms are 2, 3.

So, G C F = 2*3=6

Take out 6 from both terms to factor further.

We do get 6(3 d+2)

3 0

2 years ago

I have to determine the length please show me the steps

iogann1982 [59]

Answer:

c = 11.03 m

Step-by-step explanation:

In this given right isoceles triangle, one of the sides are labeled as 7.8 m. We'll label this side as "a."

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: $c^{2} = a^{2} + a^{2}$ .

We'll plug in the values for side "a" and side "b" into the formula:

$c^{2} = a^{2} + a^{2}$

$c^{2} = 2a^{2}$

$c^{2} = 2(7.8 m)^{2}$

$c^{2} = 121.68 m^{2}$

To calculate the value of "c," we must take the squared root of $2a^{2}$ :

$\sqrt{c^{2}} = \sqrt{121.68}$

c = 11.03087 m or 11.03 m

By the way, the value of c = a $\sqrt{2}$

8 0

2 years ago

Explain how to find the range of a data set. Choose the correct answer below. A. The range is found by subtracting the first dat

frez [133]

Answer:

Step-by-step explanation:

The range of a data set is the difference between the biggest and smallest values, so to find it, you just subtract the minimum from the maximum.

6 0

2 years ago

Determine the value of variables a, b, and c that make each equation true.

dybincka [34]

Corrected Question

Determine the values of a, b and c that make each equation true.

$(x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}$

Answer:

a=-5, b=28 and c=-11

Step-by-step explanation:

To solve for a,b and c, we apply the following laws of indices

$\dfrac{1}{x^y}=x^{-y} \\\\(x^m)^n=x^{m X n}\\\\$If x^m=x^n,$ then m=n$

Therefore

$(x^a)^6=\dfrac{1}{x^{30}}\\x^{a*6}=x^{-30}\\6a=-30\\a=-5$

To solve for b

$(x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\b=28$

To solve for c

$(x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\-2c=22\\c=-11$

4 0

2 years ago

Gina had 1/2 a liter of Dr. Pepper. She gave 2/5 of a liter to her friend. How much does she have left?

Sergeeva-Olga [200]

Answer:

1/10

Step-by-step explanation:

1) find a common factor between the two denominators.

2 and 5 have a common factor of 10. you can find this by multiplying the denominators.

2) now that you have a common denominator of 10, you'll need to change the numerators too. you do this by finding out how many times the denominator goes into your common factor. 5 goes into 10 two times so you would multiply 2 x 2. two goes into 10 five times so multiply 5 x 1.

3) you now have both fractions that share a common factor. now you have to subtract them.

5/10 - 4/10 = 1/10

7 0

2 years ago