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3 years ago

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics

1 answer:

Vinvika [58]3 years ago

4 0

Answer:

Step-by-step explanation:

By observation we see that the sides:

DC = HG

CB = GF

BA = FE and DA = HE so the 2 figures are congruent.

If we reflect EFGH in the y-axis we see that the point F (4, 1( moves to (-4,1)

and the point E moves from (2, 0) o (-2, 0) and the other 2 points points move in a similar fashion.

If we then move the whole figure up 1 unit then 1 to the right EFGH completely occupies the same area as ABCD confirming they are congruent.

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Write an expression to represent susans age in three years when a represents her present age.

Zarrin [17]

Well, since a is Susan’s current age, we would add three to a to get her age in three years
So our expression would be:
a + 3

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4 years ago

Read 2 more answers

You fly a hot air balloon 3.5 miles above the ground. What is the measure of BD⌢, the portion of Earth that you can see? Round y

STatiana [176]

Answer:

$\Delta s \approx 334.545\,m$

Step-by-step explanation:

Let assume that Earth is a sphere, the following trigonometric diagram is constructed and presented below. The central angle is given by this inverse trigonometric equation:

$\theta = 2\cdot \cos^{-1} \left(\frac{r}{r+h} \right)$

$\theta = 2\cdot \cos^{-1}\left(\frac{4000\,mi}{4000\,mi+3.5\,mi} \right)$

$\theta = 4.792^{\circ}$

The distance of the portion of Earth that can be seen is:

$\Delta s = \frac{4.792^{\circ}}{360^{\circ}}\cdot (2\pi)\cdot (4000\,mi)$

$\Delta s \approx 334.545\,m$

7 0

3 years ago

According to the graph, what is the experimental probability of selecting the letter E?

Daniel [21]

The experimental probability of letter E is: 3/25

Step-by-step explanation:

The given diagram is the number of outcomes for each letter is given

We have to find the total number of outcomes for finding the experimental probability of letter E

So,

Total outcomes = n(S) = 5+12+8+10+6+9 = 50

Number of outcomes for Letter E = n(E) = 6

So the experimental probability will be:

$P(E) = \frac{n(E)}{n(S)}\\\\=\frac{6}{50}\\\\= \frac{3}{25}$

Hence,

The experimental probability of letter E is: 3/25

Keywords: Probability, experimental probability

Learn more about probability at:

#LearnwithBrainly

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3 years ago

The number of girls (G) taking French at Mesa High School is 3 more than twice the number of boys (B). A total of 141 students a

Leya [2.2K]

Answer: B - G-2B=3 B+G=141

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3 years ago

Read 2 more answers

laiz [17]

Answer:

Step-by-step explanation:

2x² - 28x + 98 = 0

x² - 14x + 49 = 0

(x - 7)² = 0

x = 7

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3 years ago