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noname [10]
3 years ago
8

Given that the measure of ∠x is 73°, and the measure of ∠y is 90°, find the measure of ∠z.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

The measure of ∠z is: 17

Why?

It is 17 because the triangle has to equal a total of 180°. To find the missing value, you have to subtract the values from the total.

180-73=107

107-90=17

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5/6 - 2/6 in simplest form
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\frac{5}{6}-\frac{2}{6}=\frac{3}{6}=\frac{1}{2}
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4 years ago
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You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv
pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0
3 years ago
Help me please asap due tomorrow​
slava [35]

Answer: 87.5

Step-by-step explanation:

Triangle area = base * height / 2

25 * 7 = 175

175/ 2 = 87.5

4 0
3 years ago
The equation of a line is given by y−3=4(x+5)
enyata [817]
4x + 23 is what I got this is very confusing
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3 years ago
A rectangle with a width of 9 ft. and a length of 13 ft. is the base of a 30 ft. tall pyramid. What
natta225 [31]
3,510



913=117
11730=3,510

3,510
3 0
4 years ago
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