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satela [25.4K]
3 years ago
8

Identify the correct statement for the given figure.

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

Answer:

A. 5x° + (2x + 7)° = 90°

Step-by-step explanation:

Complementary angles add up to give us 90°.

From the given diagram, we have a part of the angles on a straight line as a right angle. Which means it is 90°. Therefore, the other two angles, 5x° and (2x + 7)° will add up to give us 90°. Thus, 5x° and (2x + 7)° are complementary angles.

Therefore:

5x° + (2x + 7)° = 90°

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Which of the following cannot represent the measure of an exterior angle of a regular polygon?
stellarik [79]

Answer:

I think that it's 27

Step-by-step explanation:

Because I think that exterior angles cannot be "vertical"

6 0
3 years ago
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What kind of meals do math teachers eat
Roman55 [17]
Pi or fractions of a plate :P
6 0
3 years ago
A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the
ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

x=y+15 ----> equation A

The volume of the box is equal to

V=LWH

we have

V=1,350\ in^3

L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in

H=3\ in

substitute in the formula of volume

1,350=(x-6)(y-6)(3) ----> equation B

substitute equation A in equation B

1,350=(y+15-6)(y-6)(3)

solve for y

450=(y+9)(y-6)

y^2-6y+9y-54=450\\y^2+3y-504=0

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

x=21+15=36

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0
3 years ago
Someone please help!! :^(
sineoko [7]

Answer:

equation of the table is y=30x+60

60 degrees is what the temperature starts at

to get to 440 degrees he needs 12 minutes and 40 seconds

Step-by-step explanation:

the change in y over change in x is 90/3 which is the slope

slope is 30

if slope is 30 then 30*2+b=120 60+b=120 so b=60 and it is the y intercept

440=30x+60

380=30x

x=12 2/3

x= 12 minutes and 40 seconds

8 0
4 years ago
If you get a sneak peak at the salary list of your job and realize you are in the lowest bracket, which is the lowest 1%, what i
hoa [83]

Answer:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

Step-by-step explanation:

Let X the random variable that represent the salary, and for this case we can assume that the distribution for X is given by:

X \sim N(48000,5500)  

Where \mu=48000 and \sigma=5500

And we want to find a value a, such that we satisfy this condition:

P(X>a)=0.99   (a)

P(X   (b)

We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.01 of the area on the left and 0.99 of the area on the right it's z=-2.33. On this case P(Z<-2.33)=0.01 and P(z>-2.33)=0.99

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-2.33

And if we solve for a we got

a=48000 -2.33*5500=35185

And for this case the answer would be 35185 the lowest 1% for the salary

7 0
3 years ago
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