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3 years ago

Polygon EFGH is a reflection of ABCD. Which of the following angle are congruent

Mathematics

2 answers:

Allisa [31]3 years ago

8 0

Angle B and F, the second option

melomori [17]3 years ago

5 0

Answer:

B) ∠B and ∠F

Step-by-step explanation:

Here the polygon ABCD reflected over the y-axis and got the polygon EFGH.

When the polygons are reflected the measure of angles will not be changed and only the coordinates will be changed.

Here polygon ABCD is reflected over y-axis. So only the sign of the x -coordinate will change.

Let's see them.

A = (3, -1) ---> E = (-3, -1)

B = (5, -3) ---> F(-5, -3)

C = (4, -6) ----> G(-4, -6)

D = (1, -4) ----> H(-1, -4)

You can see the only x coordinate's sign changed.

Therefore, The ∠B and ∠F is true.

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Answer:

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Step-by-step explanation:

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3 years ago

Write a function for the output is half of the input x

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Answer:

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3 years ago

There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy. Fiji keeps all the cards face down on the tabl

Rainbow [258]

There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy.

After one rose card is removed, the remaining cards are 3 cards with a picture of a rose and 3 cards with a picture of a daisy. A card is chosen at random,

the probability that the chosen card has rose on it is

$\frac{3}{6} =\frac{1}{2}$ .

The correct choice is (A).

4 0

3 years ago

Nazerhy deposits $8,000 in a certificate of deposit. The annual interest rate is 6%, and the interest will be compounded monthly

Likurg_2 [28]

Answer:

$A=\$14,555.17$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$8,000\\ r=6\%=6/100=0.06\\n=12$

substitute in the formula above

$A=8,000(1+\frac{0.06}{12})^{12*10}$

$A=8,000(1.005)^{120}$

$A=\$14,555.17$

4 0

3 years ago

How do you work out this equation

Gnom [1K]

Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:

$2y = 3x - 5\\y = \frac{3x - 5}{2}$

Now we'll substitute that into the first equation:

$9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1$

So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:

$2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4$

We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

$9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1$

So we know that our answer is correct.

3 0

2 years ago