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gulaghasi [49]
3 years ago
8

PLEASE ANSWER WILL MARK BRAINLIEST

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

Proof with Statement and Reason is below.

Step-by-step explanation:

Given:

In The Figure

BF ⊥ AC,CE ⊥ AB

To Prove:

Δ ACE ≅ Δ ABF

Proof:

In Δ ACE and Δ ABF

STATEMENT REASONS

1. BF ⊥ AC,CE ⊥ AB Given

2. m∠ BFA = 90°,m∠ CEA = 90° { Perpendicular Lines BF ⊥ AC,CE ⊥ AB }

3. AE = FA                 Given

4. m∠ A = m∠ A       {Reflexive property}

5. Δ ACE ≅ Δ ABF   By AAS Congruence Postulate

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PLS HELP! GIVING BRAINLIST!
svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

y = x - 2

y = 3x + 4

Important Tip:

  • In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}

Subtract the equations

y-3x=4

-

\underline{y-x=-2}

-2x=6

Now, solve -2x = 6 for x

-2x=6

Divide both sides by -2

\frac{-2x}{-2}=\frac{6}{-2}

Simplify

x=-3

For y - x = -2 plug in x = -3

y-\left(-3\right)=-2

y+3=-2

Subtract 3 from both sides

y+3-3=-2-3

Simplify

y=-5

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

8 0
3 years ago
What is the length of line PS
stiks02 [169]
PQ^2 = PR \times PS

(4x + 4)^2 = (3x + 3)(3x + 3 + 21)

16x^2 + 32x + 16= (3x + 3)(3x + 24)

16x^2 + 32x + 16= 9x^2 + 81x + 72

7x^2 - 49x- 56 = 0

7(x^2 - 7x - 8)= 0

(x - 8)(x + 1) = 0

x - 8 = 0~~~or~~~x + 1 = 0

x = 8~~~or~~~x = -1

x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.

x = 8

PS = 3x + 3 + 21

PS = 3x + 24

PS = 3(8) + 24

PS = 24 + 24

PS = 48
4 0
3 years ago
Explain how to calculate the surface area of a composite figure in your own words.
AleksAgata [21]
To calculate the <span>surface area of a composite figure you must apply the formulas for calculate the area of each figure that is part of the composite figure and then, you must sum all the areas calculated.

 For example, is the composite figure is form by a triangle and rectangle, the surface area of the composite figure will be:

 SA= Area of the triangle+ Area of the rectangle= (bh/2)+bh</span>
8 0
3 years ago
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n the right triangular prism below, BG FC The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centim
Bad White [126]
12 cm

Remember, V=Bh

-I think I did the process incorrectly but this is what I did:
900=(10)(15)
900=150 (divide 150 on both sides)
you get 6 but then I multiplied by 2 and got 12.
The answer 12 is correct though so I hope this helped! and if someone could explain the process better that would be great lol.
6 0
3 years ago
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What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)
Svetllana [295]
The answer is
g'(x)=<span>4x^3-10x=0 so </span><span>(4x-10)x=0 it is  x= 0 and  x= 5/2
</span>
<span>g(0)=4
</span>
<span>g(5/2)=x^4-5x^2+4=11.81</span>
the minimum is  M(0, 4)

7 0
3 years ago
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