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3 years ago

In the diagram above, angle 1 = 2x+20 andangle 2 = 3x+10. Find the measure of angle 1.

Mathematics

1 answer:

anzhelika [568]3 years ago

7 0

Answer:

angle 1 is equal to 40°

Step-by-step explanation:

angles 1 and 2 are congruent due to alternate interior angles of parallel lines. This means that 2x+20=3x+10, solving this leaves us with x=10. Since angle 1 = 2x +20 and x=10, solve to get 2(10)+20 =20+20 = 40

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frozen [14]

$\sqrt{-4}$ can also be written as 2i
where i = √-1

$\frac{2i}{4-2-3i} = \frac{2i}{2-3i}$

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8 0

3 years ago

Use the commutative property for addition to rearrange the algebraic expression 5x-7y-8x+y

BartSMP [9]

You want to use the addition property, so you need to ADD each term. Just change the minuses to pluses, making sure you keep the negative with the number

5x-8x-7y+y =

5x + -8x + -7y +y

5 0

3 years ago

What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

Maksim231197 [3]

Hello,
the first step should be to distribue:
-4(3-5x)= -12+20x

Teh resolution may be:

-4(3-5x)>=-6x+9
==>-12+20x>=-6x+9
==>20x+6x>=9+12
==>26x>21
==>x>=21/26

But an other way may be used:

-4(3-5x)>=-6x+9
==>3-5x<= -6x/(-4)+9/(-4)
==>-5x-3/2 x<=-9/4 -3

==>-13/2 x <=-21/4

==>x>= -21/4 *(-2/13)
==>x>=21/(2*13)
==>x>=21/26

5 0

3 years ago

Read 2 more answers

muhammad, a shipping and receiving clerk uses 1 yard, 2 feet and 4 inches Of twine to wrap each carton he packs. he has to pack

antiseptic1488 [7]

Answer:

He will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

Step-by-step explanation:

Muhammad uses 1 yard, 2 feet and 4 inches of twine to wrap each carton he packs.

We know that, 1 yard = 36 inches and 1 foot = 12 inches.

So, 1 yard, 2 feet and 4 inches $=[(1*36)+(2*12)+4]inches = 64$ inches.

That means, he uses 64 inches of twine to wrap each carton.

He has to pack 29 cartons today. So, the total length of the twine he will need $=(64*29) inches= 1856$ inches.

Now....

1856 inches

$=\frac{1856}{36} yards \\ \\= 51 \frac{5}{9} yards \\ \\= 51 yards+(\frac{5}{9}*36)inches \\ \\= 51 yards, 20 inches \\ \\= 51 yards, (12+8)inches \\ \\=51 yards, 1 foot, 8 inches.$

Thus, he will need 51 yards, 1 foot and 8 inches twine to wrap 29 cartons.

8 0

3 years ago

Reas the above and answer

sergeinik [125]

Answer:

48cm^2

Step-by-step explanation:

You first find the area (l * w) of the first rectangle on the top.

4 * 2 is 8

Then you find the area of the rectangle on the bottom.

5 * 8 is 40

Finally you add the area's together.

6 0

3 years ago

In the diagram above, angle 1 = 2x+20 andangle 2 = 3x+10. Find the measure of angle 1. ​

In the diagram above, angle 1 = 2x+20 andangle 2 = 3x+10. Find the measure of angle 1.