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3 years ago

What does x represent.

Mathematics

2 answers:

leonid [27]3 years ago

5 0

Answer:

X represents the horizontal line in a graph or to solve for X but if you mean something else it means, extras small and extra large you know.

White raven [17]3 years ago

4 0

Answer:

x repersents x

Step-by-step explanation:

you didnt specify what x represents

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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.

Elena L [17]

Given:

PQRS is a circle, PQT and SRT are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

$m\angle SPQ+m\angle QRS=180^\circ$

$81^\circ+m\angle QRS=180^\circ$

$m\angle QRS=180^\circ-81^\circ$

$m\angle QRS=99^\circ$

Now, SRT is a straight line.

$m\angle QRT+m\angle QRS=180^\circ$ (Linear pair)

$m\angle QRT+99^\circ=180^\circ$

$m\angle QRT=180^\circ-99^\circ$

$m\angle QRT=81^\circ$ ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

$m\angle PQR=m\angle QRT+m\angle QTR$

$x=81^\circ+22^\circ$

$x=103^\circ$

Therefore, the value of x is 103 degrees.

4 0

3 years ago

A packing box is being filled with packing peanuts. The box measures 1 1/2 feet by 1 1/2 feet by 2 feet. How many cubic feet of

Stolb23 [73]

Answer: $4.5\ ft^3$

Step-by-step explanation:

Given

Measurement of box $1\frac{1}{2}\times 1\frac{1}{2}\times 2$

suppose Length $L=1\frac{1}{2}=\frac{3}{2}\ ft$

Breadth $B=1\frac{1}{2}=\frac{3}{2}\ ft$

height $H=2\ ft$

Volume of Cuboid $=L\times B\times H$

Volume of Packaging box $V=\frac{3}{2}\times \frac{3}{2}\times 2$

$V=\frac{9}{2}\ ft^3$

4 0

3 years ago

5. Aaron sold 126 boxes of cookies. This is 14 more than twice the

qaws [65]

Answer:

112

Step-by-step explanation:

Aaron = y

Victoria = x

y = 14 +x

126 = 14 + x

x = 112

Victoria sold 112 boxes of cookies

6 0

2 years ago

Dan bought 1/8 of a pound of

Alja [10]

Answer:

he bought 1 pound

Step-by-step explanation:

1/8 + 7/8 = 7+1=8, same denominator so it stays, =8/8=1

4 0

3 years ago

Read 2 more answers

At the county fair, Darius can purchase 3 candy apples and 4 bags of peanuts for $11.33. He can purchase 9 candy apples and 5 ba

Ksenya-84 [330]

Let c represents the cost of a candy apple and b represents the cost of a bag of peanuts.

Darius can purchase 3 candy apples and 4 bags of peanuts. So his total cost would be 3c + 4b. Darius can buy 3 candy apples and 4 bags of peanuts in $11.33,so we can write the equation as:

3c + 4b = 11.33 (1)

Darius can purchase 9 candy apples and 5 bags of peanuts. So his total cost would be 9c + 5b. Darius can buy 9 candy apples and 5 bags of peanuts in $23.56,so we can write the equation as:

9c + 5b = 23.56 (2)

<span>Darius decides to purchase 2 candy apples and 3 bags of peanuts. The total cost in this case will be 2c + 3b. To find this first we need to find the cost of each candy apple and bag of peanuts by solving the above two equations.

Multiplying equation 1 by three and subtracting equation 2 from it, we get:

3(3c + 4b) - (9c + 5b) = 3(11.33) - 23.56

9c + 12b - 9c - 5b = 10.43

7b = 10.43

b = $1.49

Using the value of b in equation 1, we get:

3c + 4(1.49) = 11.33

3c = 5.37

c = $ 1.79

Thus, cost of one candy apple is $1.79 and cost of one bag of peanuts is $1.49.

So, 2c + 3b = 2(1.79) + 3(1.49) = $ 8.05

Therefore, Darius can buy 2 candy apples and 3 bags of peanuts in $8.05</span>

3 0

3 years ago