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3 years ago

Drag and drop the descriptions in the box that correctly classifies the angle pairs.

Mathematics

1 answer:

Travka [436]3 years ago

7 0

a) ∠CEA and ∠DEB are reflections of each other across point E, the intersection point of lines CD and AB. They are vertical angles.

b) ∠AED and ∠BED together form a straight line, so are a linear pair. That means they are adjacent and supplementary.

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A plane left 30 minutes late than its schedule time and in order to reach the destination 1500 km away in time it had to increas

schepotkina [342]

Let x= the usual speed
1500/x would equal how long it usually took the plane to read the destination
1500/(x+100) would equal how long it would take the plane now
So $\frac{1500}{x} - \frac{1500}{x+100} = \frac{1}{2}$ because it would lose 30 minutes already
Simplify:
$\frac{1500(x+100)-1500x}{x(x+100)} = \frac{1}{2}$
$\frac{1500x+150000-1500x}{x^2+100x} = \frac{1}{2}$
$\frac{150000}{x^2+100x} = \frac{1}{2}$
$\frac{300000}{x^2+100x} =1$
$300000= x^{2} +100x

x^2+100x-300000=0

x^2+600x-500x-300000=0

x(x+600)-500(x+600)

(x-500)(x+600)

x=500, x \neq -600
$

The usual speed was 500 hm/hr

7 0

3 years ago

When multiplying a decimal by a power of 10, the product

sleet_krkn [62]

Answer:

When a decimal number is multiplied by a power of ten, the product is found by moving the decimal point to the right that many places as the power of ten. For example, in 3.45 × 10 2, the product is obtained by moving the decimal point two places to the right, i.e., 3.452 × 10 2 = 345.2.

Step-by-step explanation:

Stay frosty

3 0

3 years ago

Read 2 more answers

3. 5x + 1 = 4y + 7<br> Equation:<br> Slope:<br> y-intercept:

Katen [24]

Answer:

y=5/4x-3/2

Step-by-step explanation:

5x+1=4y+7

4y=5x+1-7

4y=5x-6

y=5/4x-6/4

y=5/4x-3/2

4 0

4 years ago

3. Sandi is making curtains for her bedroom. She needs 58 feet of fabric. She has 14 yards of fabric. How many more yards of fab

Svetllana [295]

Answer:

she needs 3 1/3 more yards

Step-by-step explanation:

There are 3 feet in a yard

14yards x 3feet = 42 feet

58 feet- 42 feet= 10 feet

10 divded by 3 is about 3.3

8 0

3 years ago

Read 2 more answers

Barry's family drove 843 mi to see his grandparents. On the first day, they drove 483 mi. On the second day, how long did it tak

sergey [27]

843 - 483 = 360
360 ÷ 60 = 6
It took Barry's family 6 hours to drive to their grandparent's house

6 0

3 years ago