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azamat
3 years ago
11

Solve the system by substitution. y=−3x-2 -7x+3y=10 PLEASE HELP

Mathematics
1 answer:
enyata [817]3 years ago
7 0
Y=-3x-2
subsitute -3x-2 for y
-7x+3(-3x-2)=10
distribute
a(b+c)=ab+ac
3(-3x-2)=-9x-6

-7x-9x-6=10
add like terms
-16x-6=10
add 6
-16x=16
multiply -1
16x=-16
divide 16
x=-1

subsitute
y=-3x-2
y=-3(-1)-2
y=3-2
y=1



x=-1
y=1

(x,y)
(-1,1)
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Answer:

x = 25.5 degrees

Step-by-step explanation:

x is part of an isosceles triangle.

Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.

That leaves 51 for the rest of the angles, which we have to divide by 2.

51 / 2 = 25.5 degrees

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2) The length of a step is 12 inches. In order to comply with safety regulations, the angle of elevation must be 60 degrees. Wha
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12√3 / 12

Step-by-step explanation:

this creates a 30,60,90 triangle and since we are trying to find the rising part of the run we are going to have to find the 60-degree angle part. So then we do 12 times root 3.

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If f(x)=2(3x-5) when f(x) =74,what is the value of x??
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Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

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8 0
2 years ago
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Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.  

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.  

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

CD^{2}=DB^{2}+BC^{2}...(1)  \\\\AB^{2}=DB^{2}+AD^{2}...(2)

We have been given that CD=AB, Upon using this information we will get,

DB^{2}+BC^{2}=DB^{2}+AD^{2}

Upon subtracting DB^{2} from both sides of our equation we will get,

BC^{2}=AD^{2}\\\\BC=AD

<h3>Therefore, by HL congruence △BDA ≅ △DBC.</h3>
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Answer:

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