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NeX [460]
2 years ago
5

TWO EASY QUESTIONS 8TH GRADE MATH

Mathematics
1 answer:
Sophie [7]2 years ago
3 0
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.

11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.

Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.

8x + 2 + 9x + 3 = 90

17x + 5 = 90

17x = 85

x = 5
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A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for
tresset_1 [31]

Answer:

3h² + 35hw ;

a = 3 ; b = 2 ; c = 35

Step-by-step explanation:

Given that :

Dimension of bookcase :

Height = h ; Length = 2h ; width = w

Area of backside :

Height * length

h * 2h = 2h²

Cos of back material = $1.5 per ft²

Cost = 1.5 * 2h²

Cost = 3h²

Top and bottom :

Length * width

2h * w

Side area = 3 * h * w

Total area : Top + bottom +. Side

Total area : 2hw + 2hw + 3hw = 7hw

Pine = $5 per sq foot

Total cost = $5 * 7hw

= $35hw

Entire cost, C

3h² + 35hw

From the format :

ah^b + chw,

a = 3 ; b = 2 ; c = 35

6 0
3 years ago
What combination of transformations is shown below?
ozzi

the sequence is:

Translation, then reflection.

The correct option is the second one.

<h3>What combination of transformations is shown?</h3>

We start with figure 1.

In the image, we can see that the image is shifted 4 units up and 4 units left to make figure 2.

Then you can see that the image is reflected across a horizontal line to make figure 3, you can see that because now the "L" is facing upwards.

Then the sequence is:

Translation, then reflection.

The correct option is the second one.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0
1 year ago
Order the decimals from least to greatest...
PtichkaEL [24]

Answer:

-1.5

-0.75

0.25

2

2.250

Hope this helps!!

6 0
3 years ago
Read 2 more answers
A statistic is said to be unbiased if
xxMikexx [17]

Answer:

A statistic is said to be unbiased if the mean of its sampling distribution is equal to the true value of the parameter being estimated.

Step-by-step explanation:

A parameter is a number that describes the population.  

A statistic is a number that describes a sample.  

A statistic used to estimate a parameter is unbiased if the mean of its sampling distribution is exactly equal to the true value of the parameter being estimated. For example, the mean of a sample is an unbiased estimate of the mean of the population from which the sample was drawn.

A statistic is biased if its expected value is not equal to the parameter.

8 0
2 years ago
There are twelve rabbits in a cage. The ratio of white rabbits to all rabbits is 3:4. How many white rabbits are in a cage?
Rudik [331]

First, set up a proportion.

\frac{x}{12} = \frac{3}{4}

Then, cross multiply and solve.

36=4x36/4=99=x

3 0
3 years ago
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