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pogonyaev
3 years ago
15

Use the sketch tool to mark the picture with the given information. Then choose what postulate prices the triangles congruent.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
3 0

use the sketch tool to mark the picture with the given information. Then choose what postulate prices the triangles congruent.

(a) HL

(b) SAS

(c) AAS

(d) SSS

(e) ASA

Answer: a

Step-by-step explanation:

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The ratio of two side lengths for the triangle is given. What is the value of “q” AB:BC is 3:4
Vera_Pavlovna [14]

Answer:

q=8.5

Step-by-step explanation:

The ratio of the side lengths (AB) and (BC) is given. One is also given an expression for the side lengths of each of these sides. Set up a proportion to describe this scenario, then solve using cross products;

\frac{AB}{BC}=\frac{3}{4}

Substitute,

\frac{60}{10q+15}=\frac{3}{4}

Cross products,

\frac{60}{10q+15}=\frac{3}{4}

(60)(4)=(10q+15)(3)\\\\240=30q+45

Inverse operations,

240=30q+45\\\\195=30q\\\\8.5=q

4 0
2 years ago
Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
torisob [31]
Fermat's little theorem states that
a^p≡a mod p

If we divide both sides by a, then
a^{p-1}≡1 mod p
=>
a^{17-1}≡1 mod 17
a^{16}≡1 mod 17

Rewrite
a^{1000000} mod 17  as
=(a^{16})^{62500} mod 17
and apply Fermat's little theorem
=(1)^{62500} mod 17
=>
=(1) mod 17

So we conclude that
a^{1000000}≡1 mod 17

6 0
3 years ago
(a) Suppose one house from the city will be selected at random. Use the histogram to estimate the probability that the selected
Mila [183]

Answer:

a)   0.71

b)   0.9863

Step-by-step explanation:

a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000

-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

P(X

Hence, the probability of a house price below $500,000 is 0.71

b. -Let X be the mean price of a randomly selected house.

-Since the sample size 40 is greater than 30, we assume normal distribution.

-The probability can therefore be calculated as follows:

P(X

Thus, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

8 0
3 years ago
The perimeter of a rectangle is (10x2).if it's width is (2x-1),which expression represents the length
alexandr402 [8]

Answer: b. 3x + 2

Step-by-step explanation:

2l + 2w = p

2l + 2(2x - 1) = 10x + 2

2l + 4x - 2 = 10x + 2

2l = 6x + 4

l = 3x + 2

4 0
3 years ago
A student is driving a car at 60.0 miles/hour. what is its speed in m/s
hodyreva [135]
60 miles per hour.
So there are 3600 seconds in 1 hour.
60/3600

5 0
3 years ago
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