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3 years ago

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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Solve the expression below.<br><br> 14÷5

tankabanditka [31]

Answer:

2.8

Step-by-step explanation:

If u divide 14 into 5, you get a decimal, 2.8.

6 0

3 years ago

Read 2 more answers

£ even numbers above 20 and less than 50 a=26,30,32,44,48 B=22,26,34 a)complete the venn diagram to show this information a numb

brilliants [131]

Answer:

A=30,32,44,48

B=22,34

intersect=26

numbers going outside is 24,28,36,38,40,42,46

b) 1/14

Step-by-step explanation:

a)The numbers that will go into the A bracket will be 30,32,44 and 48. The numbers that will go into the B bracket will be 22 and 34. The number that will go into the intersect will only be 26. And finally the numbers going on the outside of the venn diagram will be 24,28,36,38,40,42,46.

b)The answer will be 1/14

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3 years ago

Compare the graph of g(x)=x2−3 with the graph of f(x)=x2

olga55 [171]

Answer:

g(x) is red and f(x) is blue. f(x) has been moved three units down the y-axis.

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3 years ago

Read 2 more answers

Given square ABCD, with point P on side AB , point Q on side BC, point R on side CD, and point S on side DA as shown. Additional

sveta [45]

The ratio of the area of square PQRS to the area of square ABCD is 5/9

<h3>Area of square ABCD</h3>

Assume the measure of the side lengths of the square ABCD is 1, then the area of the square ABCD is:

$A_1 = 1 \times 1$

$A_1 = 1$

See attachment for the diagram that represents the relationship between both squares.

<h3 /><h3>Pythagoras theorem</h3>

The measure of length PQ is then calculated using the following Pythagoras theorem:

$PQ^2 = (\frac 13)^2 + (\frac 23)^2$

Evaluate the squares

$PQ^2 =\frac 19 + \frac 49$

Add the fractions

$PQ^2 =\frac 59$

<h3>Area of square PQRS</h3>

The above represents the area of the square PQRS.

i.e.

$A_2 =\frac 59$

So, the ratio of the area of PQRS to ABCD is:

$Ratio = \frac{A_2}{A_1}$

This gives

$Ratio = \frac{5/9}{1}$

$Ratio = \frac{5}{9}$

Hence, the ratio of the area of square PQRS to the area of square ABCD is 5/9

Read more about areas at:

brainly.com/question/813881

8 0

2 years ago

Diagram shows the composite solid formed by a cuboid and a right prism. Trapezium LMNP is the uniform cross section of the prism

kherson [118]

Answer:

MN = 7 cm

Step-by-step explanation:

Well the volume we can separate into pieces

first the ABCDEFGH (? you know this cuboid)

which has a volume of

$V = AB\cdot BC\cdot CH\\\\V = 3*6*(3+JY+4)$

if you ask where does the 4 come from

it comes from LP = KB = YC and JY + YC =JC

$V = 18(7+MX)$

this is because JY = MX

the other volume is of BCNPKLXY (hope you understand which one)

and the volume is

$V = BP*PN*NX\\\\V=8*6*4\\\\V = 192$

and the last one is KYXLMJ (the top "triangle")

the volume is

$V = \frac{LX*XM}{2}*LK\\\\V = \frac{6*MX}{2}*8\\\\V= 6*4*MX\\\\V=24MX$

so now add them up

and has to equal 444

$V_T = 18(7+MX)+192+24MX\\\\V_T = 126+18MX+192+24MX\\\\V_T = 318+42MX\\\\444=318+42MX\\\\444-318=42MX\\\\126=42MX\\\\MX = 3$

and finally we know that MN = MX + XN = 3+4 = 7

so here is our answer MN = 7 cm

a couple of notes

$1.\:\angle LXM = 90\\\\2.\:\angle KYX = 90$

3. the units don't matter due to the fact that everything is in cm

4. see the picture below to get a better idea of which prism I am talking of

5. tell me if you have questions :D

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3 years ago