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Crank
3 years ago
15

Hi everyone how are you today I have some question about congruence and I don’t understand can you help me please.

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0
You can understand this by two ways

1) through congruency rules

It says that triangle ABE is congruent to DCE
So the corresponding angles are equal
Eg
Angle A to Angle D
Angle B to angle C
Angle E to angle E

So they’re asking the angles AEB and DEC (which are equal as per congruency)

Thus you can equate them
4y-15=69
y=21

2) through vertically opposite angles
Since the triangles’ angles are vertically opposite one another, they are equal.

Then you can equate them the same way

Hope this helped!!
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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify R - S + T
galben [10]

Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8\\\\R-S+T=(11-2m)-(n+5)+(-m-3n+8)\\\\=11-2m-n-5-m-3n+8\\\\=(-2m-m)+(-n-3n)+(11-5+8)\\\\=\boxed{-3m-4n+14}

5 0
3 years ago
Suppose a 50-foot ladder is leaning against a wall. Which statements about the base of the ladder are true?
Liula [17]

Answer and Step-by-step explanation:

These are the statements that make the question complete:

A. If the base is 24 feet from the wall, the ladder reaches 45 feet up the wall.

B. If the base is 30 feet from the wall, the ladder reaches 40 feet up the wall.

C. If the base is 27 feet from the wall, the ladder reaches 44 feet up the wall.

D. If the base is 14 feet from the wall, the ladder reaches 48 feet up the wall.

Since the ladder leans against a wall, a right angle triangle is formed. Since the ladder is now slant, then it's length becomes the hypothenuse.

The correct statements can be gotten through Pythagoras theorem which says:

A² + B² = C² where C is the hypothenuse and A and B are the other two sides.

Since the hypothenuse is 50, we can test each statement by taking the square of the two sides and add them up, if they are equal to 50² = 2500, then the statement is true.

A. 24² + 45² = 576 + 2025 = 2601 ≠ 2500, therefore it is false.

B. 30² + 40² = 900 + 1600 = 2500, therefore it is true.

C. 27² + 44² = 729 + 1936 = 2665 ≠ 2500, therefore it is false

D. 14² + 48² = 196 + 2304 = 2500, therefore it is true.

From here, statements B and D are true while the rest are all false.

7 0
3 years ago
How do you find the Radius of a cylinder?
oksano4ka [1.4K]
If you know the volume and the height of a cylinder, you can find its radius by using the formula for the volume of a cylinder.<span>Know the Formula for the Volume of a Cylinder. ...Solve for the Radius (r) ...<span>Plug in the Values for Height (h) and Volume (V) and Calculate.</span></span>
3 0
3 years ago
supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are
Simora [160]
<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu

, where n= sample size

\overline{x} = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : df=n-1=24

\overline{x}= \$93.36

s=\ $19.95

Significance level for 98% confidence interval : \alpha=1-0.98=0.02

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu

=93.36-9.943878< \mu

=93.36-9.943878< \mu

=83.416122< \mu

Hence, the 98% confidence interval for the mean repair cost for the dryers. = 83.4161

4 0
3 years ago
Need to know the answer to the question
Anastaziya [24]
The area is 1680 ft. squared
8 0
3 years ago
Read 2 more answers
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