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3 years ago

Solve a system of equations using substitution –2x + 5y = 14 x = 8

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Step-by-step explanation:

Putting value of x

-2(8) + 5y = 14

-16 + 5y = 14

5y = 14 + 16

5y = 30

y = 30 /5 = 6

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A quadrilateral has angles measuring 105°,80°and 45°.What is the measure of the fouth angle?

valentina_108 [34]

The measurement of fourth angle is: 130°

Further explanation:

Let A, B, C and D be the four angles.

m∠A=105°

m∠B=80°

m∠C=45°

We know that the sum of interior angles of a quadrilateral is 360°

So,

m∠A+m∠B+m∠C+m∠D=360°

105°+80°+45°+m∠D=360°

230°+m∠D=360°

m∠D=360°-230°

m∠D=130°

The measurement of fourth angle is: 130°

Keywords: Quadrilateral, Interior angles

Learn more about quadrilateral at:

#LearnwithBrainly

3 0

3 years ago

Actorize Completely PQ+ PR - RQ -Q²

sp2606 [1]

Answer:

(Q + R)(P - Q)

Step-by-step explanation:

PQ + PR - RQ - Q² = (Q + R)(P - Q)

8 0

2 years ago

The area of the triangle is 5.88 square centimeters.what is the length of the base.the heights is 2.1

Bas_tet [7]

Answer:

base = 5.6 cm

Step-by-step explanation:

area of a triangle = 1/2 * base * height

area = 5.88 cm²

height = 2.1 cm

5.88 = 1/2 * base * 2.1

5.88 = 1.05 base

5.88 / 1.05 = base

base = 5.6 cm

4 0

3 years ago

What is 10/13 + 8/13 ?

ludmilkaskok [199]

18/13 or in simplified form, 1 and 5/13.

4 0

3 years ago

Read 2 more answers

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given by:

$n = 600, \pi = \frac{400}{600} = 0.6667$

Hence, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984$

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0

2 years ago