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3 years ago

The measures of two congruent angles are (2x + 5) and (4x - 1). What is the measure of x?

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Congruent means <em>equal</em> in geometry.

So,

2x+5=4x-1

-2x=-6

x=3

Hope this helps :)

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Anyone know how to do this find the slope? Will give brainliest.

Molodets [167]

Explanation: In my notes you’ll see the formula for how to find slope under “Formulas”.

How to use this formula: In the first graph you have points (2,3) and (6,8)
So y2 would be 8, and y1 would be 3.
x2 would be 6, and x1 would be 2.

1. Sub points into formula
2. subtract y2 by y1
3. Subtract x2 by x1
4. Divide top by bottom

And you’ve got your slope! (Rise/run)

If you need further clarification, feel free to ask me in the comments. Hope this helps :)

3 0

3 years ago

Read 2 more answers

Levi wants to order the fractions 1/3, 2/5, and 11/30 in descending order? How can you help him by using a common denominator? E

Georgia [21]

Answer:

The correct order of fractions in descending order will be:

$\frac{2}{5}, \frac{11}{30}, \frac{1}{3}$

Step-by-step explanation:

Given fraction:

$\frac{1}{3}, \frac{2}{5}, \frac{11}{30}$

To arrange them in descending order.

Solution:

In order to arrange the fractions in descending order, we will have to find the least common denominators.

To find the least common denominator, we will find the least common multiple of the denominators 3,5, and 30.

Since 30 is a common multiple of all 3 numbers, so it will be the least common denominator.

So, we multiply the numerators and denominators with same numbers in order to make the denominators = 30.

So, we have:

$\frac{1}{3}, \frac{2}{5}, \frac{11}{30}$

⇒ $\frac{1\times 10}{3\times 10}, \frac{2\times 6}{5\times 6}, \frac{11\times 1}{30\times 1}$

⇒ $\frac{10}{30}, \frac{12}{30}, \frac{11}{30}$

Now, we compare the numerators and arrange them accordingly.

$\frac{12}{30} > \frac{11}{30} > \frac{10}{30}$

So, the correct order of fractions in descending order will be:

$\frac{2}{5}, \frac{11}{30}, \frac{1}{3}$

3 0

3 years ago

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is . The US

alexandr1967 [171]

Answer:

The answer is "23, 62, and 139"

Step-by-step explanation:

In point a:

$\to \sigma = \$0.24\\\\ \to E = \$0.10\\\\ 95\% \text{confidence level of the z}: \\\\\to \alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\$

Calculating the sample size:

$\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma)}{E})^2$

$= (\frac{(1.96 \times 0.24 )}{0.10})^2\\\\= 22.13 \approx 23$

In point b:

$\to \sigma = \$0.24\\\\\to E = \$0.06\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\$

$= (\frac{(1.96 \times 0.24 )}{0.06})^2\\\\= 61.47 \approx 62$

In point c:

$\to \sigma = \$0.24\\\\\to E =\$0.04\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\$

$= (\frac{(1.96\times 0.24 )}{0.04})^2 \\\\=138.30 \approx 139$

4 0

3 years ago

A production facility employs 10 workers on the day shift, 8 workers on the swing shift, and 6 workers on the graveyard shift. A

Bezzdna [24]

Yeah i think it’s A hope

5 0

4 years ago

Choose one of the polygons that are similar to polygon A, and describe a sequence of transformations that take polygon A to the

skad [1K]

E is similar, a rotation and translation can take polygon A to polygon E. Step-by-step explanation: a rotation 90 degrees counter clockwise around point r and a translation 4 down and 9 right will take plygon A to E.
You visited this page on 3/12/21.

5 0

3 years ago