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kondaur [170]
3 years ago
9

7

Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

uhhhhhh free pointsssssss

Step-by-step explanation:

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If m<3 =54°. find each measure.
weqwewe [10]

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)

6 0
3 years ago
A boy has in his pocket a 50-cent piece, two dimes and two pennies. If he pulls out a coin at random, what is the probability it
rodikova [14]
Well, from what I can tell he has 1 50 cent piece, 2 Dimes, and 2 Pennies. Meaning 5 objects in total, considering that it asks for "at least ten cents" that would mean the 2 Dimes and the 1 50 cent piece.
Since that is 3 objects out of the 5, being 3/5ths, that would mean he has a 60% chance or probability for the first draw.

Hopefully that helps. ^ ^
{-Ghostgate-}
3 0
2 years ago
Read 2 more answers
What is the length of BC?
Alekssandra [29.7K]

Answer:

2.1

Step-by-step explanation:

This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1

6 0
2 years ago
Carlo buys $14.40 worth of grapefruit. Each grapefruit costs 0.80. (PLz help and yeett) with steps plz
Zina [86]

Answer:

a) 18 grapefruits

b) 6 grapefruits

Step-by-step explanation:

a) n = 14.4 / 0.80 = 18 grapefruits

b) n = (14.4 / 3) / 0.8 = 6 grapefruits

4 0
3 years ago
you buy a sandwich for $2.95, an apple for $0.85, and a bottle of juice for $1.05. What is the total cost?
user100 [1]

Answer:

$4.85

Step-by-step explanation:

Add the numbers:

2.95

1.05

<u>0.85</u>

4.85

3 0
3 years ago
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