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Mazyrski [523]
3 years ago
12

What is the answer to this?

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
4 0

Answer:

<h2>x = 14, z = 65</h2>

Step-by-step explanation:

The angles (5x - 5)° and (6x + 31)° are supplementary angles.

Supplementary Angles add up to 180°.

Therefore we have the equation:

5x - 5 + 6x + 31 = 180             <em>combine like terms</em>

(5x + 6x) + (-5 + 31) = 180

11x + 26 = 180               <em>subtract 26 from both sides</em>

11x = 154             <em>divide both sides by 11</em>

x = 14

The angles (5x - 5)° and z° are vertical angles.

Vertical angles are congruent.

Therefore we have the equation:

z = 5x - 5               <em>put x = 14 to the equation</em>

z = 5(14) - 5

z = 70 - 5

z = 65

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There were 42 students who took a test in mathematics.there were 36 students who passed test 1, and there were 38 who passed tes
Keith_Richards [23]
We are giiven with two realms:  36 students who passed test 1 and <span>38 who passed test 2 in which 42 students overall took the test. to determine U' or those who didn't pass either of the tests, then we use the formula:  
A or B = (A+B)-AandB
A/B = (36+38)-AandB= 74-AandB
42 = A+ B - AandB + U'; 42 = 74-  AandB+ U'

where U' is the number who did not pass

U'= -32 + AandB
U' cannot be negative but can be zero,
AandB = 32 @ minimum number of those who fail.
AandB cannot be greater than 38 but can be greater than 36, hence
U' = -32 + 38 @ maximum number of those who fail.

Answer then is 6. 


</span>
7 0
3 years ago
Round the following number to the indicated place. 66.1086 to hundredths
nikdorinn [45]

Answer:

66.11

Step-by-step explanation:

We are given that  a number

66.1086

We have to round the number to hundredths

Place of 6=One;s

Place of second 6=Tens

Place of 1=Tenths

Place of 0=Hundredths

Place of 8=Thousandths

Place of 6=Ten thousandths

Thousandths place is 8 which is greater than 5 therefore, one will be added to hundredth place and other number on the left side of  hundredth place remain same and the numbers on the right side of hundredth place will be replace by zero.

Therefore, the given number round to hundredths=66.11

7 0
3 years ago
Can y’all plz help me
ziro4ka [17]

I think the answer would be C to this problem

7 0
3 years ago
(05.04 MC) At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 fe
xenn [34]

Answer:

Step-by-step explanation:

You're looking for the circumference here, which is the distance around the outside of a circle.  The formula is

C = πd or C = 2πr

Since we are given the diameter, we will use that one:

C = (3.14)(18) so

C = 56.5 feet

3 0
3 years ago
F(x)=x^2+8x-10 find f(a)+5
Papessa [141]

Answer:

We conclude that:

f(a) + 5 = a² + 8a - 5

Step-by-step explanation:

Given

The function is given by

f(x) = x²+8x-10

To determine

f(a)+5

In order to determine f(a)+5, first, we need to determine f(a).

Now substitute x = a in the function f(x) = x²+8x-10

f(a) = (a)² + 8(a) - 10

f(a) = a² + 8a - 10

Thus,

f(a) + 5 = (a² + 8a - 10) + 5

f(a) + 5 = a² + 8a - 5

Therefore, we conclude that:

f(a) + 5 = a² + 8a - 5

4 0
3 years ago
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