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Sedaia [141]
2 years ago
8

Find the value of p that makes quadrilateral QRST a parallelogram.

Mathematics
1 answer:
Afina-wow [57]2 years ago
7 0
P= 31

EXPLANATION :opposite sides of a parallelogram are congruent so angles R & S should equal to 180 degrees when you add them and so on for angles Q & T

ANGLES R & S :
2p+3p+25=180
5p+25=180
5p=180-25
5p=155
p=31

ANGLES Q & T
p+87+5p-93=180
6p-6=180
6p=180+6
6p=186
p=31

MATH CHECK:
2(31)+3(31)+25+(31)+87+5(31)-93=360
62+93+25+31+87+155-93=360
453-93=360
360=360
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For the given function, find the vertical and horizontal asymptote(s) (if there are any).
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3 years ago
Hey guys, I need help with these questions. I need them done by today! Please, help :( There are 4 questions or more I think, I
Orlov [11]

Answer:

Step-by-step explanation:

Domain x^2 - 9 {Solution: - infinity < x < infinity}

Interval notation (- infinity, infinity)

Range of x^2 - 9 (Solution: f(x) is greater than or equal to - 9)

Interval notation (-9, infinity)

Axis interception points of x^2 - 9:

X- intercepts (3, 0) (-3, 0)

Y-intercepts (0, -9)

Vertex of x^2 - 9: Minimum (0, -9)

Solve for f:

f (x) = x^2 - 9

Step 1: Divide both sides by x.

fx / x = x^2 - 9 / x

f = x^2 - 9 / x

Answer:

f = x^2 - 9 / x

8 0
1 year ago
27 dived ( 3 + 6 ) x 5 - 12
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Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
3 years ago
Find the greatest common factor of the following monomials 3B + 30 B
ryzh [129]

Answer:

3B

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values 3B and 30B. Each has numbers which multiply together to give the number. We need to find the highest value or most in common they share. Each has the factors:

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30B: 1, 3, 5, 6, 10, B

Both have 3 and B has factors. Our GCF is these two factors.

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3 years ago
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