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Brrunno [24]
3 years ago
7

An angle measure 34 less than a complementary angle measure of each angle

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0

Answer:

The unknown angle measures 56

Step-by-step explanation:

<u>Complementary Angles</u>:

Two angles are complementary when they add up to 90 degree.


An angle measure 34 less than a complementary angle. Which means angle one is 34 and angles two is 90 minus 34.


angle one + angle two = 90

34 + angle two = 90

angle two = 90 - 34

angle two = 56

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We need 75 quarts of 3% butterfat milk. How much of 2% and 5% do we need to mix? (t = 2% and f = 5%)

A) t + f = 75

B) .02 t + .05 f = (.03 * 75)

B) .02 t + .05 f = 2.25


Solving for t and f:

t = 50 quarts of 2 % and

f = 25 quarts of 5%


Double-Check

50 * .02 = 1 quart of buttermilk

25 * .05 = 1.25 quarts of buttermilk


2.25 quarts divided by 75 quarts = 3 % buttermilk



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560 is the miss one.
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4 years ago
Find the perimeter of the figure. You must show all your work to receive full credit
Usimov [2.4K]

Answer:

32.2 units

Step-by-step explanation:

The perimeter of the figure = AB + BC + CD + DE + EF + FA

AB = |5 - 11| = 6 units

BC = |-8 - 0| = 8 units

CD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

C(11, 0) = (x_1, y_1)

D(6, -3) = (x_2, y_2)

CD = \sqrt{(6 - 11)^2 + (-3 - 0)^2}

CD = \sqrt{(-5)^2 + (-3)^2}

CD = \sqrt{25 + 9} = \sqrt{34}

CD = 5.8 units (nearest tenth)

DE = |6 - 4| = 2 units

EF = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

E(4, -3) = (x_1, y_1)

F(0, -6) = (x_2, y_2)

EF = \sqrt{(0 - 4)^2 + (-6 -(-3))^2}

EF = \sqrt{(-4)^2 + (-3)^2}

EF = \sqrt{16 + 9} = \sqrt{25}

EF = 5 units

FA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

F(0, -6) = (x_1, y_1)

A(5, -8) = (x_2, y_2)

FA = \sqrt{(5 - 0)^2 + (-8 -(-6))^2}

FA = \sqrt{(5)^2 + (-2)^2}

FA = \sqrt{25 + 4} = \sqrt{29}

FA = 5.4 units (nearest tenth)

Perimeter = 6 + 8 + 5.8 + 2 + 5 + 5.4

= 32.2 units

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3 years ago
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Ipatiy [6.2K]

Answer:

i dont know

Step-by-step explanation:

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3 years ago
James and Gavin purchase two baseball tickets. Tickets cost $8.50 each, drinks cost $3.50 each, and bags of popcorn cost 3.00 ea
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D = drinks, p = popcorn
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variables : a letter in place of an unknown number : (d and p)
coefficients : the number multiplied by the letter : (3.50 and 3.00)
constants : a lone number, no variables attached : (17)
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4 years ago
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