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ioda
2 years ago
13

I need help ASAP please and thank you

Mathematics
1 answer:
Cloud [144]2 years ago
6 0

Answer:

x=93°

Step-by-step explanation:

Angles in a triangle equals 180°

Represent the unknown angle in the triangle with y.

35°+58°+y=180°

93°+y=180°

y=180°-93°

y=87°

Angles on a straight line equals 180°

x=180°-87°

x=93°

As always, willing to help...

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Find the average rate of change of the function between the given values of x. y = 9+ 5x + 0.5x2 between x = 2 and x = 4.
svet-max [94.6K]

Answer:

The average rate of change is 8.

Step-by-step explanation:

The formula to calculate the average rate of change of a function F(x) is:

\frac{F(b)-F(a)}{b-a}

In this case, F(x) = 0.5x^{2} +5x+9

a=2 and b=4

You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.

In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:

F(b) = (0.5)4^{2} + 5(4) +9= 37

F(a) = (0.5)2^{2} + 5(2)+9=21

\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8

The answer is 8.

3 0
2 years ago
5. Classify each triangle by its angle and sides
PIT_PIT [208]

Answer:

5 is D

6 is C

Step-by-step explanation:

Define:

Equilateral - All sides and angles are congruent

Isosceles: Two congruent sides and two congruent angles

Scalene: No congruent sides or angles

Right triangle: A triangle with a right angle ( note that a right angle has a measure of 90 degrees )

obtuse triangle: A triangle with an obtuse angle ( obtuse angles have a measure of more than 90 degrees. )

Acute triangle : A triangle with an acute angle ( an acute angle has a measure of less than 90 degrees )

Answer:

the triangle shown in # 5 has a right angle and 2 congruent sides and angles

Therefore the triangle in #5 is a right isosceles

The triangle shown in #6 has an angle with a measure that is more than 90 degrees and have no congruent sides or angles therefore the triangle in #6 is an obtuse scalene.

3 0
3 years ago
A research study was performed to determine if more than 30% of first-grade students at one school have entered Piaget’s concret
suter [353]

Answer:

Type I error

Step-by-step explanation:

A type I error occurs if the null hypothesis is rejected when it is actually true.

Type I                                      Type II

Reject null when true           Fail to reject null when not true

Null hypothesis: ∪ = 30%

Alternative hypothesis: ∪ > 30%

The researchers concluded that more than 30% of first-grade students at this school have entered the concrete operational stage of development and they rejected the null hypothesis.

However, a census actually found that in the population of all first graders at this school, only 28% have entered the concrete operational stage.

A type I error has been made because in actuality the null hypothesis was true but was rejected.

7 0
3 years ago
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Kruka [31]

Answer:

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4 0
2 years ago
Which of the following phrases would represent this expression?
aivan3 [116]
I think its (the quotient of 3 and x)
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3 0
3 years ago
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