Answer:
Option D. dilation and reflection
Step-by-step explanation:
we know that
A reflection, rotation and a translation transformations, creates a triangles that are congruent
A dilation transformation, create a triangles that are similar
therefore
the answer is the option D
Answer:
Step-by-step explanation:
The figures dont have enough letters to explain step by step all the exercises.
Bread 1:
The horizontal lines are parallels so both angles must be the same
2x + 21 = 4x - 17
21 + 17 = 4x - 2x
38 = 2x
x = 19
Bread 2:
Angles sum 180°
3y - 5 + 2y - 25 = 180
5y - 30 = 180
5y = 180 +30
5y = 210
y = 42
Bread 3:
Angle ABC is the same as the other 2, since x = 19
ABC = 2x + 21
ABC = 2 * 19 + 21
ABC = 59
Bread 4:
Angle ABC is the same as 3y - 5, y = 42
ABC = 3y - 5
ABC = 3 * 42 -5
ABC = 121
Bread 5:
Angles must be the same
5x - 14 = 2x + 13
5x - 2x = 13 + 14
3x = 27
x = 9
Bread 6:
Angle ABC = 5x - 14 , x = 9
ABC = 5 * 9 - 14
ABC = 31
If you need to understand why the angles must be the same just comment and I will give you more details
Answer:
In the account that paid 6% Susan invest 
In the account that paid 5% Susan invest 
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Part a) account that paid 6% simple interest per year
in this problem we have
substitute in the formula above
Part b) account that paid 5% simple interest per year
in this problem we have
substitute in the formula above
we know that
substitute and solve for x
therefore
In the account that paid 6% Susan invest
In the account that paid 5% Susan invest
Answer:
210 pounds
Step-by-step explanation:
First, we are going to find the exchange rate from dollars to pounds.
We know form our problem that 800 dollars are 560 pounds. so:
\frac{560pounds}{800dollars} =0.7
800dollars
560pounds
=0.7 pounds per dollar.
Next, we are going to multiply our exchange rate by the number of dollars we want to change, 300:
300dollars*\frac{0.7pounds}{dollar} =210pounds300dollars∗
dollar
0.7pounds
=210pounds
We will get 210 pounds for 300 dollars
Answer: 14
Step-by-step explanation:
⇒ Michael's age = x −25
⇒ x − 25 + x = 53
⇒ 2x = 53 + 25
⇒ 2x =78
⇒ x =39
Hence, Michael's age
<h2>= x − 25 = 39 − 25 = 14 </h2>
* Hopefully this helps:) Mark me the brainliest:)!!!
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