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Serhud [2]
3 years ago
9

Determine which postulate or theorem can be used to prove that ABC=DCB

Mathematics
2 answers:
8_murik_8 [283]3 years ago
5 0

Answer:AAS is the correct answer ( apex)

Step-by-step explanation:

lianna [129]3 years ago
3 0

Answer with explanation:

In Δ ABC and ΔD BC

∠A=∠D-------Given

∠ABC=∠DCB-------Each being 90° given in the Diagram.

Side, BC is Common.

⇒⇒Δ ABC ≅ ΔD BC-------[AAS]

When two triangles are congruent , their areas are equal.

So, Area(ABC)=Area (DCB)

Option B :⇒ A AS

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What is the area of the triangle whose vertices are (0,0), (3,0) and (0,4)?
Elden [556K]
Answer: 6

Since one of the points is at the origin, then you can take the number point on the x axis and multiply it by the point on the y axis, and you get 12. To find the area of a triangle, you must use base x height divided by 2. Divide 12 by 2 to get 6. 

Hope this helped!
3 0
3 years ago
Read 2 more answers
consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i
eimsori [14]

we have

f(x)=x^{2} +2x-15

we know that

The x-intercept is the value of x when the value of the function is equal to zero

so

in this problem

Find the roots of the function

equate the function to zero

x^{2} +2x-15=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +2x=15

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +2x+1=15+1

x^{2} +2x+1=16

Rewrite as perfect squares

(x+1)^{2}=16

Square root both sides

(x+1)=(+/-)\sqrt{16}

(x+1)=(+/-)4

x=-1(+/-)4

x1=-1+4=3

x2=-1-4=-5

x^{2} +2x-15=(x-3)(x+5)

therefore

<u>the answer is</u>

the x-intercepts are the points (3,0) and (-5,0)

3 0
3 years ago
Read 2 more answers
A rectangular street sign has an area of 40 square inches and a perimeter of 28 inches. What are the dimensions of the sign?
Usimov [2.4K]

Answer: 4 inches by 10 inches

Step-by-step explanation:

The area of a rectangle can be written as b*h, while perimeter is equal to (2b +2h).

A = b*h = 40

P = 2b + 2h = 28

P = 2b + 2h

28 = 2b + 2h

28 = 2(b+h)

14 = b + h

What two numbers add to 14 and multiply to 40?

4 * 10 = 40

4 + 10 = 14

8 0
3 years ago
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If the volume of the pyramid shown is 360 inches cubed, what is its height?
GenaCL600 [577]
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

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3 years ago
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Equation of the line that passes through (-6,0) and (0,-24)
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Answer: y= -4x -24

Step-by-step explanation:

6 0
2 years ago
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