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hoa [83]
2 years ago
12

Use the figure for 10 - 12. X is the midpoint of PQ.10: Find PX 11. Find XQ 12. Find PQ​

Mathematics
2 answers:
makkiz [27]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

since X is the midpoint of PQ , then

PX = QX ( substitute values )

4x + 15 = 7x + 6 ( subtract 4x from both sides )

15 = 3x + 6 ( subtract 6 from both sides )

9 = 3x ( divide both sides by 3 )

3 = x

Then

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

qaws [65]2 years ago
4 0

Answer:

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

Step-by-step explanation:

Since X is the midpoint of PQ , then

PX = QX ( substitute values )

4x + 15 = 7x + 6 ( subtract 4x from both sides )

15 = 3x + 6 ( subtract 6 from both sides )

9 = 3x ( divide both sides by 3 )

3 = x

Then

PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27

PQ = PX + XQ = 27 + 27 = 54

Hence, the correct answers are: PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27

XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27 PQ = PX + XQ = 27 + 27 = 54

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To which subset of real numbers does the number 1/5 belong?
nasty-shy [4]

Answer: Option 'B' and 'C' are correct.

Step-by-step explanation:

Since we know that irrational numbers are those real number which cannot be written in \frac{p}{q} form.

Rational numbers are those real numbers which can be written in \frac{p}{q} form.

Inverse property of multiplication is that property in which we write a number in reciprocal form .

Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.

Hence, \frac{1}{5} belongs to rational numbers sets and inverse property of multiplication sets.

Therefore, Option 'B' and 'C' are correct.


5 0
3 years ago
Read 2 more answers
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and
docker41 [41]

Answer:

the distance of the Bird (B) from the plane (P)  is = 10779  ft

Step-by-step explanation:

From the given information:

a diagrammatic representation is attached below for better understanding and solution to the question.

From the diagram;

Let the Bird (B) be represent as A

The plane (P) be represented by B

The observer be represented by O

and the tower T be represented by C

we will see that:

\overline {AB}  \ \| \ \overline {OC}

Also;

\angle ABO = \angle BOC = 33^0

AO = BC = 7000

Let consider the trigonometry of  triangle BAO

tan θ = opposite/adjacent

tan 33° = 7000/x

0.6494 = 7000/x

x = 7000/0.6494

x = 10779.18

x = 10779  ft    ( to the nearest whole number)

Thus; the distance of the Bird (B) from the plane (P)  is = 10779  ft

7 0
3 years ago
An abstract sculpture in the form of a triangle has a base 21 meters and a height of 12 meters. Find the are of the triangle.
charle [14.2K]
The area of a triangle could be determined using the following formula
\boxed{a= \frac{1}{2} \times b \times h}

plug in the numbers
a =  \frac{1}{2} \times 21 \times 12
a =  \frac{1}{2} \times 252
a= \frac{252}{2}
a = 126

The area of the triangle is 126 square meters
8 0
3 years ago
X = [ ? ]<br><br> BRAINLEST to whoever is right!!
Nataly_w [17]

Answer:

x=125

Step-by-step explanation:

all angles of a triangle add up to 180 degrees.

30+25=55

180-55=125

3 0
2 years ago
If 25% of a number is 12, what is 75% of that number?
snow_tiger [21]

Answer:

36

Step-by-step explanation:

\frac{0.25}{0.75} =\frac{12}{x} \\

0.75 *12=9

\frac{9}{0.25} =36

8 0
3 years ago
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