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e-lub [12.9K]
3 years ago
8

The base of a parallelogram is 10 units and the height is 7units. A segment divides the parallelogram into two identical trapezo

ids. The height of each trapezoid is 7 units
Mathematics
1 answer:
sveticcg [70]3 years ago
8 0
If you need area of the trapezoids:

Area of parallelogram = 10×7 = 70 sq. units

Area of each trapezoid = 1/2 × area of parallelogram = 1/2 × 70 = 35 sq. units
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5x 2y = 7 y = x 1 What is the solution set of the given system? {(5/7, 12/7)} {(12/7, 5/7)} {(9/7, 16/7)} {(16/7, 9/7)}.
OLEGan [10]

The correct option is A, which is {(5/7, 12/7)}.

<h2>Given to us,</h2>

equation 1, 5x + 2y = 7,

equation 2, y = x+1

To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of  y in equation 1,

5x + 2y = 7

<h3>substituting,</h3>

5x + 2(x+1) = 7\\5x+2x+2=7\\7x+2=7\\7x=7-2\\7x=5\\\\x= \dfrac{5}{7}

Now, we have the value of x, substitute the value in equation 2, to get y,

y=x+1\\y=(\frac{5}{7})+1\\

Taking LCM,

y=\frac{5+(1\times 7)}{7}  \\y= \dfrac{12}{7}

Hence, the correct option is A, which is {(5/7, 12/7)}.

To know more visit:

brainly.com/question/2263981

4 0
3 years ago
Assume that the two polygons are similiar, with the same orientation.
spin [16.1K]

Answer:

4/6=t/(t+1)

Step-by-step explanation:

4/6=t/(t+1)

8 0
3 years ago
A local company wants to evaluate their quality of service by surveying their customers.
stich3 [128]

Answer: b. 0.98

Step-by-step explanation:

The formula to find the maximum error of the estimated mean :

E=z^*\dfrac{\sigma}{\sqrt{n}}            (1)

, where \sigma = standard deviation

n= Sample size

z* = Critical z-value.

As per given , we have

\sigma=5

n=100

Critical value for 95% confidence interval = z*=1.96

Put these values in the formula (1), we get

E=(1.96)\dfrac{5}{\sqrt{100}}

E=(1.96)\dfrac{5}{10}=0.98

Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.

Therefore , the correct answer is b. 0.98 .

6 0
3 years ago
Read 2 more answers
How many solutions are there in the given equation?<br> y = 2x² + 6x + 4
tigry1 [53]

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

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2x^{2}+6x+4=0

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a={\color{#c92786}{2}}

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6

±

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2

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⋅

2

⋅

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√

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2

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x=2⋅2−6±62−4⋅2⋅4

brainliest and follow and thanks

8 0
3 years ago
What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?
Arlecino [84]

Answer:

What are the possible values of x and y for two distinct points, (5,-2) and (x, y), to represent a function? The value of x can be:

A.) Any real number

B.) Any real number except 5

C.) Any real number except 5 and -2

The value of y can be:

A.) Any real number

B.) Any real number except -2

C.) Any real number except 5 and -2

7 0
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