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3 years ago

If ∠5 = 137° and ∠7 = 100°, find the measure of ∠1. *

Mathematics

1 answer:

Pani-rosa [81]3 years ago

4 0

Answer:

m∠1 = 37°

Step-by-step explanation:

if m∠5 = 137 then m∠2 = 43 (supplementary angles)

if m∠7 = 100 then m∠3 = 100 (vertical angles)

m∠1 + m∠2 + m∠3 = 180°

m∠1 + 43 + 100 = 180°

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The perimeter of a pentagon is 48. One side is equal to x, two sides are twice x and two sides are three more than x. What are t

DochEvi [55]

Answer:

side lengths are 6, 12, 12, 9, 9

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides:

x + 2x + 2x + (x+3) + (x+3) = 48

7x +6 = 48 . . . . collect terms

7x = 42 . . . . . . .subtract 6

x = 6 . . . . . . . . . divide by 7

Substitute this value into the expressions for the side lengths:

x = 6

2x = 12

x+3 = 9

The side lengths are 6, 12, 12, 9, 9.

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4 years ago

X<br> 10<br> Z<br> 20<br> find x y and z

Reil [10]

Answer:

y is 30

Step-by-step explanation:

8 0

3 years ago

A bottle of a cranberry-apple juice cocktail is 95 % juice. how many ounces of juice are in a 76 oz bottle of the juice cockt

FinnZ [79.3K]

95% = 95/100
95/100 of 76/1. (Always remember that every whole number is over 1)
So now we have 95/100 of 76/1
We can't solve with "of"
So we'll have to change it to "times(x)".....when we do that, it would cause 76/1 to reciprocate to 1/76
So now we have this: 95/100 x 1/76
When we solve it this is what we'll get: 19/20 x 1/76 = 19/1520 = 1/80

8 0

4 years ago

Read 2 more answers

Which measurement is the best estimate for the height of a kitchen counter?

Schach [20]

4. 0.9m

Explanation:
0.9mm is smaller than a lego counter top.

0.9cm is a Lego counter top, actually 0.9cm is still probably smaller.

0.9 kilometers is 900 meters so uh… 2700 ft tall? I don’t think your counter top is taller than Godzilla.

6 0

3 years ago

PLEASE HELP SOLVE. i believe the answer is 50cm^2. can someone help.

hichkok12 [17]

Answer:

3 cm

Step-by-step explanation:

So the area of the total circle is:

$\pi \times 5^{2} = \pi \times 25$

If you remove the outer band you have the area of the inner circle

$25\pi - 16\pi = 9\pi$

This means that the inner circle had an area of

area = pi * r^2

9 pi = pi * r^2

r =

$\sqrt{9} = 3$

So the radius of the inner circle is 3.

4 0

3 years ago