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3 years ago

If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then which statement would be true

Mathematics

2 answers:

konstantin123 [22]3 years ago

6 0

Answer:

the awnser is c

Bumek [7]3 years ago

3 0

If a quadrilateral has exactly 2 lines of symmetry and both are angle bisectors then the figure must be a rhombus because it has exactly 2 pairs of congruent angles.

I hope this helps! :)

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

which has the greater volume: Prism with a length of 5 inches, a width of 4 inches, and a height of 10, or a prism with a length

GuDViN [60]

Since you have to multiple. L×W×H....

The first one has a volume of 400 and the second has a volume of 400...so both prisms have an equal volume but have a differnet shape

7 0

2 years ago

Find the least common multiple (LCM) of 42, 50, and 54

Anna007 [38]

Answer:

LCM = 9450

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In the expression (x2 + 3), the base is

hichkok12 [17]

X is the base of the exponent.

8 0

3 years ago

What is the factored form of this expression?

kirill [66]

Answer:

= (3t+2)(3t-2)(3t-4)

Step-by-step explanation:

Given the expression 27t^3 - 36t^2 - 12t + 16

On factoring:

(27t^3 - 36t^2) - (12t + 16)

= 9t²(3t-4)-4(3t-4)

= (9t²-4)(3t-4)

factoring 9t²-4

9t²-4 = (3t)² - 2²

From different of two square, a²-b² = (a+b)(a-b)

Hence (3t)² - 2² = (3t+2)(3t-2)

= (9t²-4)(3t-4)

= (3t+2)(3t-2)(3t-4)

Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)

6 0

3 years ago