An isosceles triangle is shown. Which two angles must be congruent?

Mathematics

1 answer:

Leona [35]2 years ago

3 0

Answer: option A is the correct answer.

Step-by-step explanation:

In an isosceles triangle, two sides are equal. This also means that two angles are equal or conguruent and these are the base angles of the isosceles triangle.

Looking at the given isosceles triangle, side VX and side WX are equal because each of them carry a mark of equality. They are the base angles of the isosceles triamgle. This means that angle V and angle W must be congruent.

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-3(1-2x)=3x+3(x-3)+6

deff fn [24]

Let's solve this problem step-by-step.

−3(1−2x)=3x+3(x−3)+6

Step 1: Simplify both sides of the equation.

−3(1−2x)=3x+3(x−3)+6

(−3)(1)+(−3)(−2x)=3x+(3)(x)+(3)(−3)+6(Distribute)

−3+6x=3x+3x+−9+6

6x−3=(3x+3x)+(−9+6)(Combine Like Terms)

6x−3=6x+−3

6x−3=6x−3

Step 2: Subtract 6x from both sides.

6x−3−6x=6x−3−6x

−3=−3

Step 3: Add 3 to both sides.

−3+3=−3+3

0=0

So, 0=0 or all real numbers.

6 0

3 years ago

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?

Sphinxa [80]

Answer:

Step-by-step explanation:

a. The vertex is (1, -9). False. The vertex is (-1, -9).

b. The graph opens upward. True. That coefficient '6' is positive.

c. The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units. False. It's DOWN 9 units.

d. The graph is steeper than the graph of f(x) = x^2. True. The given function increases 6 times faster than does x^2.

e. The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Let's put f(x) = 6(x + 1)^2 -9 into standard form. Expanding the first term, we get f(x) = 6(x^2 + 2x + 1) - 9, or f(x) = 6x^2 + 12x + 6 - 9. YES, TRUE

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2 years ago

BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!

Masja [62]

Answer:

D, E.

Step-by-step explanation:

Simplify the expression inside the parentheses:

$3(23 + 18) < 6a$