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love history [14]
3 years ago
5

PLEASEEEE ASAPPPPPP

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

  • AC = 5x-2
  • DC = 3x+10
  • AB = 5x
  • DB = 4x+3

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

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Has a slope of -2/5 and goes through (-10,-1)​
Aleonysh [2.5K]

Answer:

Below in bold.

Step-by-step explanation:

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

y - (-1)) = -2/5(x - -10)

y + 1 = -2/5(x + 10)

y  + 1 = -2/5x - 4

y = -2/5x - 5.

In standard form this is:

2x + 5y = -25.

7 0
3 years ago
Find the distance between the points given.<br><br> (-3, 2) and (9, -3)<br><br> √(61)<br><br> √(37)
cricket20 [7]

Answer:

d=13.

Step-by-step explanation:

d=\sqrt{(x_{2}-x_{1} ) ^{2} +(y_{2}-y_{1} ) ^{2}}

From question statement, x_{1} =-3   ,x_{2} =9

y_{1} =2  ,y_{2} =-3

put above values in the distance formula,we obtain

d=\sqrt{(9-(-3))^{2}+(-3-2)^{2}}

d=\sqrt{(12)^{2}+(-5)^{2}}

d=\sqrt{144+25}

d=\sqrt{169}

d=13


8 0
3 years ago
Factor the following expression using the GCF: 42pr – 3p.
Softa [21]
The answer is most likely C
3 0
3 years ago
Help and ill give brainliest
Furkat [3]

Answer:

No, it isnt a solution

Step-by-step explanation:

Even though it works for one equation, it doesnt work on the other. You have to have the solution work for both equations so that it can be a true solution. Hope this helps you understand!

7 0
3 years ago
According to a study done by a university​ student, the probability a randomly selected individual will not cover his or her mou
solniwko [45]

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

P(X=6)=(0.162)

Step-by-step explanation:

From the question we are told that:

Sample size n=18

Probability P=0.267

No. that do not cover their mouth when sneezing x=6

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}

Where

x=6

Therefore

P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}

P(X=6)=(0.162)

5 0
3 years ago
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