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1 year ago

Find the measure of angle X.

Mathematics

2 answers:

densk [106]1 year ago

5 0

Answer:

x = 23 degrees

Because if you look at diagram x is vertical to angle FBC, and angle FEC and angle EBA are alternate interior angles so they are equal to each other, and AC is a straight line which means it equals to 180 degrees.

$4x+65+x = 180$

x = 23 degrees

serg [7]1 year ago

5 0

Refer to the photo below. First, construct a segment extending from EB.

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Mary got a piggy bank as a gift with X cents in it. If she saves Y cents each month for a year, how much money will she have in

-BARSIC- [3]

Answer:

The total money she saved in a year = X + 12Y.

Step-by-step explanation:

Mary got a piggy bank as a gift.

Sum of money in the piggy bank while she got it as a gift = X cents

Sum of money she saved = Y cents per month

1 year = 12 months

So, sum of money she saved in 1 year = Y × 12

= 12Y

Hence, the total money she saved in a year = X + 12Y.

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3 years ago

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi

gizmo_the_mogwai [7]

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Find the duration
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Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours

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Find difference in distance travelled between the two cyclists.
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Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

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Find the distance the cyclist traveled
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42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
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1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
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3 years ago

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Answer:

Step-by-step explanation:

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