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3 years ago

Find the measurement of angle 4 when angle 3=7x and 5=3x

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Angle 4 will be 54°

because angle 3 and angle 5 will add to equal 180. from that we find x=18. angle 4 and and 5 and the same so 3(18) equals 54

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What is the surface area? 8 mm 10 mm 5 mm Explain how you arrived at your answer.

lesya692 [45]

Answer:

400 mm

Step-by-step explanation:

8 * 10 = 80

80 * 5 = 400

400 mm

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2 years ago

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Jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and

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3 years ago

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Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second

Reika [66]

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

$Equation\ 1: x - 3y = 1$

$Equation\ 2: 7x + 2y = 7$

Required

Efficient way of solving the equations

The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;

The evidence is shown as follows;

Make x the subject of formula in equation 1

$x = 1 + 3y$

Substitute 1 + 3y for x in equation 2

$7x + 2y = 7$

$7(1 + 3y) + 2y = 7$

Open bracket

$7 + 21y + 2y = 7$

$7 + 23y =7$

Make y the subject of formula

$23y = 7 - 7$

$23y = 0$

Divide both sides by 23

$\frac{23y}{23} = \frac{0}{23}$

$y = 0$

Recall that x = 1 + 3y

Substitute 0 for y in the above expression

$x = 1 + 3(0)$

$x = 1 + 0$

$x = 1$

Solving for y in the second equation will take more steps

6 0

3 years ago

The accompanying data on x= head circumference z score (a comparison score with peers of the same age - a positive score suggest

djverab [1.8K]

Answer:

$r=0.77$ , $\hat{y}=770.50+39.37x$ and volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.9 is $\hat {y}=920.10$

Step-by-step explanation:

We attached a table below,

$(a)$ We attached a table below,

Therefore ,

correlation coefficient $r=\frac{\frac{1}{18}(21766.7)-(\frac{27.25}{18} )(\frac{13890}{18} ) }{\sqrt{\frac{1}{18} (59.8435)-(\frac{27.25}{18} )^2}\sqrt{\frac{1}{18}(10767400)-(\frac{13890}{18} )^2 } }$

$=\frac{41.04}{53.19}$

$=0.77$

$(b)$ We calculate the least squares equation.

$b_1=r(\frac{\sigma_y}{\sigma_x} )\\ =(0.77)(\frac{\sqrt{\frac{1}{18} (10767400)-(\frac{13890}{18} )^2} }{\sqrt{\frac{1}{18}(59.8435)-(\frac{27.25}{18} )^2 } } )\\ =0.77(\frac{52.15}{1.02} )\\ =0.77(51.13)\\ =39.37$

Now , calculate intercept coefficient.

$b_0=\bar{y}-r\bar{x}\\$

$=(\frac{\sum{y}}{n} )-0.77(\frac{\sum{x}}{n} )\\=(\frac{13890}{18} )-0.77(\frac{27.25}{18} )\\=771.67-1.17\\=770.50$

Therefore, the regression equation is, $\hat{y}=770.50+39.37x$

$(c)$ Find the volume of cerebral brey matter for a child whose head circumference Z score at age 12 months was 1.8

$\hat{y}=770.50+39.37x$

$=770.50+39.37(1.9)\\=770.50+74.80\\=920.10$

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3 years ago

Which statement best describes a graph of paired points that form a proportional relationship?

Akimi4 [234]

It's B) A straight line can be drawn through all the points and the line passes through the point (0,0)

This is because in the problem it says that the points are paired and proportional. For example, say you're given the point (3,6). To make this a proportional relationship, you'd have another point in the third quadrant: (-3,-6). When you draw a line from one of these points to the other, it passes through the origin.

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4 years ago

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