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3 years ago

Can any one help me with these 2 plsss :/

Mathematics

1 answer:

Pepsi [2]3 years ago

8 0

Answer:

6) f=45

7) r=57

Step-by-step explanation:

the angles of a triangle will always add up to 180 degrees. Therefore, for the first one the three inside angles have to be 30, 15, and 135. If 135 is the supplementary angle to f, 45 must be the degree of f.

Same idea for the second one. 180-143=37. so 37+86+r=180. solve for r to get 57.

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the coordinates of a quadrilateral are (5,8), (7,10), (9,12) and (11,14). after a transformation, the sign of the x-coordinate a

BartSMP [9]

Answer:

The quadrilateral is rotated 180° about the origin

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) reflected across the line y = x

∴ Its image is (y , x)

- If point (x , y) reflected across the line y = -x

∴ Its image is (-y , -x)

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise or

anti-clockwise around the origin

* In our problem:

- The sign of the x-coordinate and the sign of the y- coordinate

for each ordered pair have changed

- The image of each point is (-5 , -8) , (-7 , -10) , (-9 , -12) , (-11 , -14)

∴ The quadrilateral is rotated 180° about the origin

7 0

3 years ago

Equivalent expression for (x+6)-5+9

Bumek [7]

Answer:

x + 10

Step-by-step explanation:

$(x + 6) - 5 + 9 \\ = x + 6 + 4 \\ = x + 10$

7 0

3 years ago

Which side lengths form a right triangle?

Maru [420]

Answer:

bbbbbbb

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of thei

asambeis [7]

Complete Question

Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.

Answer:

The sample size is $n = 1537 \ gallons$

Step-by-step explanation:

From the question we are told that

The margin of error is $MOE = 0.5$

The confidence level is $C = 95$ %

Given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5$ %

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table , the values is $Z_{\frac{\alpha }{2} } = 1. 96$

The reason we are obtaining critical values of

$\frac{\alpha }{2}$

instead of

$\alpha$

is because

$\alpha$

represents the area under the normal curve where the confidence level interval (

$1-\alpha$

) did not cover which include both the left and right tail while

$\frac{\alpha }{2}$

is just the area of one tail which what we required to calculate the sample size

Now the sample size is mathematically represented as

$n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}$

substituting values

$n = \frac{1.96^2 * 10 ^2}{0.5^2}$

$n = 1537 \ gallons$

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3 years ago

Line q passes through the points (4, 6) and (0,6). What is the equation for the line which is perpendicular to q and passes thro

inna [77]

9514 1404 393

Answer:

x = -2

Step-by-step explanation:

Line q is the horizontal line y = 6, so the perpendicular line will be vertical. In order for it to go through the point (-2, 3), the equation must be ...

x = -2

7 0

3 years ago