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3 years ago

In a parallelogram PQRS, PQ = 8cm and QR = 10 cm. If the height corresponding to side PQ

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

Answer:

4 cm

Step-by-step explanation:

PQ = 8 cm
QR = 10 cm
Height corresponding to PQ = 5 cm
Height corresponding QR = x

The area of parallelogram is equal to product of its base and height

It can be expressed as

A = 8*5 = 40

and

A= 10*x

Comparing them we get

10x = 40 ⇒ x = 4 cm

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Solve the inequality.<br>4(x – 7)>-8<br>

frez [133]

Answer:

x>5

Step-by-step explanation:

1. First, you do distributive property with 4(x-7), which is 4x-28

2. Add 28 to both sides

3. divide 4 on each side

4. 20 divided by 4 is 5

6. x>5

6 0

3 years ago

Anna's dachshund weighed 5 5\8 pounds when it was born. By age 4,the dog weighed 6 times as much.

Anastaziya [24]

Answer: 33 3/4

Step-by-step explanation: It tells you that at age 4, it weighed 6 times as much as it weighed when it was born, so you can do the weight of when it was born (5 5/8) times 6 which is 33 3/4.

6 0

3 years ago

What is the solution to the inequality? <br><br> -2(X+3) +5x >9

Artist 52 [7]

Answer: $x>5$

Step-by-step explanation:

1. You have the following inequality given in the problem:

$-2(x+3)+5x>9$

2. You must solve for x.

3. First, apply the Distributive property:

$-2x-6+5x>9$

4. Now, add the like terms, as following:

$-2x+5x>9+6\\3x>15$

5. The result is:

$x>\frac{15}{3}\\x>5$

7 0

4 years ago

The LATERAL Surface Area for the shape below is ____________. (assume the bases are the larger faces on the top and bottom.)

Zolol [24]

Answer:

$LA=210\ cm^2$

Step-by-step explanation:

we know that

The lateral area of the figure is given by

$LA=Ph$

where

P is the perimeter of the base (larger faces)

h is the height

Find the perimeter of the base P

$P=2(11+10)=42\ cm$

we have

$h=5\ cm$

substitute in the formula of lateral area

$LA=42(5)=210\ cm^2$

3 0

4 years ago

5x-(x-18)=6-2(x=15) plsss help

dexar [7]

$\huge\text{Hey there!}$

$\large\text{5x - (x - 18) = 6 - 2}\\\rightarrow\large\text{5(15) - (15 - 18) = 6 - 2}\\\rightarrow\large\text{75 - (15 - 18)}\\\rightarrow\large\text{75 - (-3)}\\\rightarrow\large\text{75 + 3}\\\rightarrow\large\text{8}\\\\\large\text{8 = \textsf{6 - 2}}\\\large\textsf{6 - 2}\\\rightarrow\textsf{4}\\\\\huge\boxed{\mathsf{6\neq-4}}\\\\\\\huge\boxed{\rm{Therefore, your \ answer\ is: \bf 6 \neq -4}}\huge\checkmark$

$\huge\textsf{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

7 0

2 years ago