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mezya [45]
3 years ago
9

Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Answer:

Step-by-step explanation:

A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc

From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description

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For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work. y = -2
telo118 [61]
Y= -2(x²-x)+2= -2(x-1/2)²+2+1/2= -2(x-1/2)²+5/2 
<span>x=6, y= -2(11/2)²+5/2= -121/2+5/2= -58

I hope this helps</span>
7 0
3 years ago
Sheila has 12 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 2 1/4 pounds
NeX [460]

Answer:

6 containers needed

Step-by-step explanation:

Given

Total = 12\frac{1}{2}\ lb ----- Size

Container = 2\frac{1}{4}\ lb ----- Size

Required

Determine the number of containers needed

This question illustrates the knowledge of fraction and division.

To get the number of containers needed, we simply divide the total size by the size of the container as follows;

Number = Total/Container

Number = 12\frac{1}{2}/2\frac{1}{4}

Convert to improper fractions

Number = \frac{25}{2}/\frac{9}{4}

Number = \frac{25}{2}*\frac{4}{9}

Number = \frac{100}{18}

Number = 5.5555556

Number = 6 --- Approximated

4 0
3 years ago
Name the property of real numbers illustrated by the equation.
nirvana33 [79]
Answer: Choice A) Distributive property

We're multiplying the outer -3 with the inner x to get -3x
Also, multiply the outer -3 with the inner +4 to get -12

So that's why -3(x+4) = -3x-12
8 0
4 years ago
I need help asap thanks
vfiekz [6]
To start, let’s put order the amounts of candy in numerical order






2, 4, 5, 7, 8, 11, 11







Now let’s look at the ranges given





0-3, 3-6, 6-9, 9-12






Now let’s sort how many bags are in each range





There’s one bag between 0-3, so raise the first bar to one







There’s 2 bags between 3-6, so raise the second bar to two.







There’s two more bags between 6-9, so raise the third bar to two






Finally, there’s two bags between 9-12, so raise the last bar to two.
4 0
3 years ago
A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea
gizmo_the_mogwai [7]

Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{1250}{314}

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

5 0
3 years ago
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