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oksano4ka [1.4K]
3 years ago
13

Here is the next one

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

Answer:

3

Step-by-step explanation:

-2 + 40x + 62 = 180 They are same side interior angles and add to 180

solve for x

40x + 60 = 180

40x = 120

x=3

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Jessica used 2/3 yard of fabric to make a scarf. Can she make 2 of these scarves with 1 3/4 yards of fabric, and why?
Alex Ar [27]

Option 1

Jessica can make 2 scarves

yes, because the quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

<u>Solution:</u>

Given, Jessica used \frac{2}{3} yard of fabric to make a scarf.

We have to find can she make 2 of these scarves with 1\frac{3}{4} yards of fabric, and why?

Now, let us find number of scarves that can be made from available scarf

\text { Number of scarves }=\frac{\text { avaiable scarf }}{\text { fabric required for } 1 \text { scarf }}

\begin{array}{l}{=\frac{1 \frac{3}{4}}{\frac{2}{3}}=1 \frac{3}{4} \times \frac{3}{2}} \\\\ {=\frac{4 \times 1+3}{4} \times \frac{3}{2}} \\\\ {=\frac{16+5}{8}=2 \frac{5}{8}}\end{array}

We know that,

2 \frac{5}{8}>2 so we can make 2 scarves.

Hence, yes, we can make 2 scarves because quotient of 1 \frac{3}{4} \div \frac{2}{3} \text { is } 2 \frac{5}{8}

So 1st option is correct

3 0
3 years ago
How do I solve this equation??(6g^5h-4)^3
Veseljchak [2.6K]
((6)^3 (g^5)^3 (h)^3 + (-4)^3)
(216 x g^15 x h^3 - 64
216g^15h^3 - 64
8 0
4 years ago
Which figure accurately represents the Pythagorean theorem?
Elena-2011 [213]

Figure B is the answer!

The formula for the Pythagorean theorem is

A^2+B^2=C^2

In figure B the units are squared. Making it your answer.

-Seth

8 0
4 years ago
Find the area of the larger sector.
marin [14]

Answer:

Step-by-step explanation:

area of circle = πr² = 25π ft²

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4 0
3 years ago
Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property
NISA [10]

Answer:

Associative property of addition

Step-by-step explanation:

The associative property of addition is as follows :

a+(b+c) = (a+b)+c

We have,

a = 8, b = 9 and c = 3

So,

Using above property,

(8+9)+3 = 8+(9+3)

20 = 20

Hence, this is the required solution.

7 0
3 years ago
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