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2 years ago

The first one asks for the value of x. I need help on both. I am struggling to understand how to do this, please help

Mathematics

1 answer:

zzz [600]2 years ago

6 0

(1) since the horizontal lines are parallel, and you know the vertical intersecting line crosses at right angle, it must be that the two angles with variable x sum up to 90 degrees. So same rewritten as an equation:

x+8+6x-58 = 90

7x = 140

x = 20 (degrees)

(2) here you have two variable so you will need to find two equations.

The first one comes from the triangle and its angles summing up to 180:

63 + (3x+45) + (y-6) = 180

The second one comes from the fact that the two horizontal lines are parallel and so the angles (7x-7) and (3x+45) must be the same:

7x-7=3x+45

Let's solve the last one first:

4x = 52

x = 13

then plug this solution into the first equation and solve for y

63 + (3x+45) + (y-6) = 180

3x + y = 78

y = 78-39 = 39

so the value of y is 39 (degrees)

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Can someone help me with this question please?

aivan3 [116]

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3 years ago

Read 2 more answers

7. point A(-2, 7); parallel to the line y = - 3x - 4

aniked [119]

Answer:

y=-3x+1

Step-by-step explanation:

plug in point into x and y, replace -4 as a +b(or any other variable to represent y intercept)

therefore,

7=-3(-2)+b

7=6+b

1=b

y=-3x+1

8 0

3 years ago

Write an expression for the eighth partial sum of the series using summation notation

balandron [24]

Answer:

option B

Step-by-step explanation:

9/10 + 6/5 + 3/2...........

We find the difference between the terms

$\frac{6}{5} - \frac{9}{10}$

$\frac{12}{10} - \frac{9}{10} = \frac{3}{10}$

We will get the same difference when we subtract consecutive terms.

so , d= 3/10, a= 9/10

we find the formula for nth term

a_n = a+(n-1) d

$a_n = \frac{9}{10} + (n-1)\frac{3}{10}$

$a_n = \frac{9}{10} +\frac{3}{10}n-\frac{3}{10}$

$a_n = \frac{6}{10} +\frac{3}{10}n$

$a_n = \frac{3}{5} +\frac{3}{10}n$

we need to find eighth partial sum so we take n=1 to 8

sum of 8 terms ( $\frac{3}{5} +\frac{3}{10}n$ )

So option B is correct

4 0

3 years ago

An independent-measures research study uses two samples, each with n= 10 participants. If the data produce a t statistic of t =

solong [7]

Answer:

The correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

Step-by-step explanation:

Consider the provided information.

The size of sample 1 = n1 = 10

The size of sample 2 = n2 = 10

It is given that the test statistic is: t = 2.095

For α = 0.05

ndf = n1 + n2 - 2

Substitute the respective values in the above formula.

ndf = 10 + 10 - 2 = 18

Two Tailed Test:

From the table, critical value of t = 2.1009

But the calculated value of t = 2.095 which is less than critical value of t = 2.1009, Fail to reject $H_0$ .

For α = 0.01

From the table, critical value of t = 2.8784

But the calculated value of t = 2.095 which is less than critical value of t = 2.8784, Fail to reject $H_0$ .

Hence, the correct option is (B) Fail to reject the null hypothesis with either α = .05 or α = .01

4 0

3 years ago

HELPPP ASAP ILL TRY GIVE BRAINLEST

Anna11 [10]

Well, to find the slope of a line, mx + b = y is the formula, and m is slope.

-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63

There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.

Hope this helps! (:

3 0

3 years ago