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Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

Answer:

C

Step-by-step explanation:

Answer:

c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.

Step-by-step explanation:

the anwser

Answer:

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

=============================================================

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

Answer:

$500=$4c × $3p

because $4 each is 4 times c. and the same for the popcorn

Answer:

agree with answer above

$4c + $3p = $500

Answer:

Percent Decimal Fraction

331/3% 0.333. ..1/3

Answer:

See attached photo!

Step-by-step explanation:

Answer:

Solution given:

l=8cm

b=8cm

h=3cm

now

total surface area=2(lb+bh+lh)

=2(8*8+8*3+8*3)=224cm²

224 cm² is a required volume.

Answer:

m<G = 59°

Step-by-step explanation:

Recall: the angle formed outside a circle when 2 secants intercept is equal to half of the difference of the intercepted arcs

m<G = ½(arc TE - arc HF)

m<G = ½(175 - 57)

m<G = ½(118)

m<G = 59°

Answer:

36

Step-by-step explanation:

Answer:

C)

B)

C)

Step-by-step explanation:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Answer:

two of them are possible which one is the correct

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

Answer:

x = 40

Step-by-step explanation:

x/2 = 20

x/2(2) = 20(2)

x = 40

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

Where is the picture

Step-by-step explanation:

Answer:

x^4

Step-by-step explanation:

The expression can be simplified to (x^2)^2. Using an exponent rule, you multiply the two exponents together to get 4. The answer is x^4

Answer:

Step-by-step explanation:

This is a composite function, in which we will first evaluate the s function at a value of 2, then we will use that value in the t function.

s(2) = 5(2)+ 5 so

s(2) = 15. Now we evaluate the t function at 15:

t(15) = 3(15) + 4 so

t(15) = 49

Answer:

210

Step-by-step explanation:

(52-10)

42÷5

8.4×25=210

Answer:

BEODMASS

( 52 - 10 ) ÷ 5 × 23

42÷5 ×23

8.4 x 23

193.2

Answer:

7 hours

Step-by-step explanation:

15 dollars +15 dollars 30 dollars=2 hours. 5 dollars left 15 divided by 3, 5 dollars. 3 divided by 3 = 1 so 1 hours is 5 dollars. My explaining is not good.

Answer: 7 hours

Step-by-step explanation:

She earns 5 dollars per hour because 5x3=15

and then you do 15x2=30

then 3x2=6

then just add 1 to 6

6+1=7

so there's your answer

7 hours

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

Answer:

88

Step-by-step explanation:

Answer:

(52/10)

5 (2/10)

5.2

Step-by-step explanation:

Answer:

f(x)=x^2+4x-21

Step-by-step explanation:

Answer:

f(x) = (x + 7)  (x - 3)

Step-by-step explanation:

f(x)=(x+[tex]2)^{2}[/tex]-25

(x + 7) (x - 3) we put the 2 x's because of the (x+2)^2

now the + 7 and - 3, multiply the 2 numbers = -21 then use those 2 in

(x+2)^2 to add for the answer = -25

Answer:

A - since the median can be any number we know of. B - Again the median can be any number we know of, since it is a undetermined amount. E - The range can be 10 flights, this is because it is not a determiend value, and it is possible for the value to be 10.

Step-by-step explanation:

Wrong answer reasoning:

The mode doesnt need to be 9 if there is more than 1 mode, so that isnt it. Eliminating D. The mean can most definatly be determinded if we know the values. This elimnates C. The mean can be 6.875, but we dont know, so we can assume it IS 6.875. This eliminates F.

Hope this helps!

Answer:

0.44l

Step-by-step explanation:

a litre=1l

11/25 of it=11/25×1l

=0.44l

Answer:

A litre=1 l

Or, 1/25×1

=0.44.

Answer:

If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.  

Step-by-step explanation:

Hope this helps!

Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.

Probability can be calculated using the following expression:

[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]

When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.

When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.

An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

Learn more about sin angle here;

https://brainly.com/question/18597026

#SPJ2

Answer:

Combine like terms:

3x + 29 ≤ 62

-29          -29

3x = 33

Divide by 3 on both sides.

x = 11!

Answer:

x is 11

Step-by-step explanation:

4X + 24 - X + 5 ≤ 62

24 + 5

is 29

29-3x  ≤ 62

-3x  ≤  33

-x ≤ 11

x ≥ 11