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julia-pushkina [17]
3 years ago
11

Mary states, "If the diagonals of a parallelogramare congruent, then the

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

True

Step-by-step explanation:

A rectangle is a plane figure with congruent length of opposite sides. Considering a rectangle ABCD,

AD ≅ BC (opposite side property)

AB ≅ CD (opposite side property)

<ABC = <BCD = <CDA = <DAC = 90^{0} (right angle property)

Thus,

<ABC + <BCD + <CDA + <DAC = 360^{0}

AC ⊥ BD (diagonals are perpendicular to each other)

AC ≅ BD (congruent property of diagonals)

Therefore, the parallelogram is a rectangle.

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Can someone help me out here please.
denis23 [38]

Answer:

im sorry but i have no clue what this is:(

Step-by-step explanation:

7 0
3 years ago
What are the roots of the equation?<br><br> x^2+24=−11x<br><br> Enter your answers in the boxes.
docker41 [41]
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
8 0
3 years ago
Read 2 more answers
Evaluate the function found in the previous step at X =-3
babunello [35]
x-5y=-4x-2y

In order to evaluate the given function at x = -3, simply replace "x" in the function with -3 and solve.

-3-5y=-4(-3)-2y

<em>Multiply -4 and -3 in the function above.</em>

-3-5y=12-2y

<em>Add 3 on both sides of the equation.</em>

-3-5y+3=12-2y+3-5y=15-2y

<em>Add 2y on both sides of the equation.</em>

-5y+2y=15-2y+2y-3y=15

<em>Divide both sides of the equation by -3.</em>

\frac{-3y}{-3}=\frac{15}{-3}y=-5

Therefore, at x = -3, the value of y = -5. Hence, f(-3) = -5.

Answer:

f(-3) = -5

<em />

7 0
1 year ago
A pool company needs to make a cover for an in-ground pool. The pool cover is made up of the triangle PQT and the parallelogram
Semmy [17]

Answer: 326

Step-by-step explanation:

6 0
3 years ago
Help please!! :-(<br> x = -5<br><br> -x + 8
Anna [14]

Answer:

13

Step-by-step explanation:

-(-5) + 8

5 + 8

13

8 0
3 years ago
Read 2 more answers
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