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Zolol [24]
3 years ago
15

What is the measure of an angle if it is 70 less than three times its own complement?

Mathematics
2 answers:
anzhelika [568]3 years ago
4 0
Let the angle be x.

Hence, its complement is 90 - x.

x = 3* (90 - x) - 70 = 270 - 3x - 70 = 200 - 3x

4x = 200

x = 50

Thus, the angle is 50°.
lyudmila [28]3 years ago
4 0
The complement of an angle is what you add to it to get 90 degrees

if the angle is x, then the complement is y such that x+y=90

an angle is 70 less than 3 times it's complement
x=-70+3y

hmm
x+y=90
minus x both sides
y=90-x
subsitute 90-x for y

x=-70+3y
x=-70+3(90-x)
x=-70+270-3x
x=200-3x
add 4x to both sides
4x=200
divide both sides by 4
x=50
the angle is 50°
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The number of candies consumed varies inversely with the number of children present. When 12 children are present,140 pieces of
irinina [24]
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).

Another way to write that relationship is xy = k.  To find the value of k for this problem, you need a numbers for x and y that go together.

Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).

"When 12 children are present, 140 pieces of candy are consumed."  So when x = 12, the value of y = 140.

xy = k
(12)(140) = k
1680 = k

Now, when x = 8 children,

8y = 1680
y = 210

5 0
3 years ago
Read 2 more answers
I need help As Soon As possible!
Julli [10]
This should be simple, add the Amounts of snow for the first week
4.32 + 6.86 = 11.18
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The subtract the amounts of snow from each week
11.18 - 7.89 = 3.29
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C.) 3.29 is your answer
6 0
3 years ago
The sum of 12 and the quantity 8 times a number k is equal to 48
Rudiy27
12+8k=48
=>8k=36
=>k=36/8
=>k=4.5
6 0
3 years ago
ANSWER QUESTION A. ANSWER QUESTION B
RUDIKE [14]

Answer:

a. There is a causation relationship and positive trend between number of hours on homework and higher test scores.

b. 76

Step-by-step explanation:

a. Since the dots all follow a linear progression and increase closely together this is a positive trend and likely a causation relationship.

b. y=7x+41 can predict a test score. x is the number of hours, so if 5 if the number of hours then y=7(5)+41 = 35+41=76

6 0
3 years ago
Read 2 more answers
Daily low temperatures in Columbus, OH in January 2014 were approximately normally distributed with a mean of 15.45 and a standa
Alona [7]

Answer: 12.10

Step-by-step explanation:

Given : Mean : \mu = 15.45

Standard deviation : \sigma = 13.70

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x= 5 degrees

z=\dfrac{5-15.45}{13.70}=-0.7627737226\approx-0.76

For x= 10 degrees

z=\dfrac{10-15.45}{13.70}=-0.397810218\approx-0.40

The P-value : P(-0.76

=0.3445783-0.2236273=0.120951\approx0.1210

In percent , 0.1210\times100=12.10\%

Hence, the percentage of days had a low temperature between 5 degrees and 10 degrees = 12.10%

5 0
3 years ago
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