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gayaneshka [121]
2 years ago
15

Which pair of triangles can be proven congruent by SAS?

Mathematics
1 answer:
ivolga24 [154]2 years ago
4 0

Answer:

Second option

Step-by-step explanation:

They have two congruent pairs of sides and one congruent pair of angles.

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If sin(x) = cos(y) for acute angles x and y, how are the angles related?
Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5

#We can reverse as:

Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603

Hence, two angles are said to be complimentary if they sum up to 90°.

6 0
3 years ago
Find the largest prime divisor of 76^2 − 1.
saveliy_v [14]

Answer:

11

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

3 0
3 years ago
2.
Jet001 [13]

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

3 0
4 years ago
Need help in answering the question below.
irakobra [83]

Answer:

About 4.123

Step-by-step explanation:

The horizontal distance between the two points is 5-1 = 4 units. the vertical distance is 3-2=1 unit. Using the Pythagorean theorem, we can find that the length is:

\sqrt{4^2+1^2}=\sqrt{17}\approx 4.123

7 0
3 years ago
HELP MEEEE 19 pointssssss
Vilka [71]

Answer:

3

Step-by-step explanation:

consecutive means in a row: 1, 2, 3. the smallest integer is 1. the largest is 3. 1 is 3 times smaller than 3

3 0
3 years ago
Read 2 more answers
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