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erik [133]
3 years ago
12

Please help... I don't understand this

Mathematics
1 answer:
vlada-n [284]3 years ago
6 0
We know that

<span>the rotation of a solid does not modify the values of the internal angles of the solid
</span>therefore
interior angle after 90° rotation=interior angle before 90° rotation
interior angle after 90° rotation=108°

the answer is the option D 108 °
You might be interested in
1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j
ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option  A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

m=(17-16)/(2-0)=\frac{1}{2}

The equation of the line in slope intercept form is

y=mx+b

we have

m=\frac{1}{2}

b=16 -----> the point (0,16) is the y-intercept

substitute

y=\frac{1}{2}x+16

convert to function notation

f(x)=y

f(x)=\frac{1}{2}x+16

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

m=(-2-0)/(5-5)=\frac{-2}{0}

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

m=(1-2)/(3+1)=-\frac{1}{4}  

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-\frac{1}{4}

point\ (3, 1)

substitute

y-1=-\frac{1}{4}(x-5)

Convert to standard form

Multiply by 4 both sides to remove the fraction

4y-4=-(x-5)

4y-4=-x+5

x-4y=-4-5

x-4y=-9

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

5 0
3 years ago
Can someone please help me with this!!
miv72 [106K]
Hello there! Given the expression, we can solve through a series of steps:

1. Simplify

-5 + 7 • 1

2. Multiply (according to order of operations)

7 • 1 = 7

3. Add

-5 + 7 = 2

Your final answer is 2. Hope this helps!
8 0
1 year ago
Find the common ratio 24,18,37/2,81/8
Vinil7 [7]

Note: The third term of the sequence should be \dfrac{27}{2} instead of \dfrac{37}{2}, otherwise the sequence has no common ratio.

Given:

The given sequence is

24,18,\dfrac{27}{2},\dfrac{81}{8}

To find:

The common ratio of the given sequence.

Solution:

The quotient of each pair of consecutive terms are:

\dfrac{18}{24}=\dfrac{3}{4}

Similarly,

\dfrac{\dfrac{27}{2}}{18}=\dfrac{27}{36}

\dfrac{\dfrac{27}{2}}{18}=\dfrac{3}{4}

And,

\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{81}{8}\times \dfrac{2}{27}

\dfrac{\dfrac{81}{8}}{\dfrac{27}{2}}=\dfrac{3}{4}

Therefore, the common ratio of the given sequence is \dfrac{3}{4} or 0.75.

8 0
3 years ago
A family spent $65 on dinner and left a 20% tip. What was the total cost of their meal?
Oxana [17]

Answer: B, $78

Step-by-step explanation:

If the tip is 20% of the dinner cost, then we have to first find what is 20% of 65.

20% x 65 = 13. So the tip for the dinner is 13 dollars.

Now we have to add it to the original dinner cost.

65 + 13 = 78.

Therefore, the total cost of their meal is 78 dollars. So the answer is B, $78!

7 0
3 years ago
Read 2 more answers
mother divided the money among jan, jane and jello , in the ratio 4:9:6. If Jan got $200, find the total amount and money receiv
Kay [80]

Step-by-step explanation:

Let,

  • Money received by Jan = 4x
  • Money received by Jane = 9x
  • Money received by Jello = 6x

According to the question,

→ Money received by Jan = $200

→ 4x = $200

→ x = $200 ÷ 4

→ x = 50 ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀… ( 1 )

Now,

→ Money received by Jane = 9x

→ Money received by Jane = 9($50)

→ <u>Money received by Jane = $450</u> [Ans]

And,

→ Money received by Jello = 6x

→ Money received by Jello = 6($50)

→ <u>Money received by Jello = $300</u> [Ans]

6 0
2 years ago
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