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3 years ago

Verify that each of the following transformations preserves congruence and name the congruence transformation

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

Pentagon A B C D E is reflected across the X-axis to form pentagon A B C D.

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There are 21 more green crayons than blue crayons. There are 14 blue crayons. How many green crayons are there?

dimaraw [331]

Answer:

35 green crayons

Step-by-step explanation:

g is number of green crayons

b is number of blue crayons

g = b + 21

plug in 14 for b:

g = 14 + 21

g = 35

35 green crayons

3 0

3 years ago

Read 2 more answers

Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie sa

Contact [7]

Answer:

6.75

Step-by-step explanation:

First, I just gave you the answer.

Second, just use it.

4 0

3 years ago

What is the name of the following polynomial expression 4x²+x-3

nadya68 [22]

Answer:

It has 3 terms so it is a trinomial.

I think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Luke earned $36,000 during the first year of his job at Putt-Putt Kingdom. After each year he received a 10% raise. Find his tot

Lady_Fox [76]

In order to solve this problem, you need to use a geometric series:
$S_{n} = \frac{ a_{1}(1 - r^{n}) }{1 - r}$
where:
a₁ = first term of the series = 36000
r = common rate = 10% raise, therefore 1.10
n = number of terms = 5

Therefore,
 $S_{n} = \frac{ 36000(1 - 1.10^{5}) }{1 - 1.10}$
= 219783.60 $

Luke's total earnings in five years are 219783.60 $.

6 0

3 years ago

Determine which function has the greatest rate of change over the interval [0, 2].

ruslelena [56]

Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_2-x_1}$

Rate of change of $a$ :
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of $a$ :
$m= \frac{y_{2}-y_{1}}{x_2-x_1}$
$m= \frac{4-1}{2-0}$
$m= \frac{3}{2}$
$m=1.5$
The average rate of change of the function $a$ over the interval [0,2] is 1.5

Rate of change of $b$ :
Here the end points are (0,0) and (2,2)
$m= \frac{2-0}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $b$ over the interval [0,2] is 1

Rate of change of $c$ :
Here the end points are (0,-1) and (2,0)
$m= \frac{0-(-1)}{2-0}$
$m= \frac{1}{2}$
$m=0.5$
The average rate of change of the function $c$ over the interval [0,2] is 0.5

Rate of change of $d$ :
Here the end points are (0,0.5) and (2,2.5)
$m= \frac{2.5-0.5}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $d$ over the interval [0,2] is 1

We can conclude that the function that has the greatest rate of change over the interval [0, 2] is the function a.

4 0

3 years ago