All categories

2 years ago

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

You might be interested in

Suppose y varies directly with x. Write an equation relating x and y.

jolli1 [7]

9514 1404 393

Answer:

a. y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).

A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.

4 0

3 years ago

The product of two facters is 7,000. If one of the factors is 90, what is the other factor?

yaroslaw [1]

Let's solve this by creating an equation.

Let X = the second factor

$X\times90=7000\\X = 7000\div90\\X= 77.77777$

3 0

3 years ago

Can someone please help mee

cricket20 [7]

Answer:

5/13

Step-by-step explanation:

sine=opposite/hypotenuse

cosine=adjacent/hypotenuse

opposite=-12 (I know that this is not possible)

hypotenuse=13

These are ratios, not real lengths

using the Pythagorean theorem, the other leg is 5

cos (theta)=5/13

5 0

1 year ago

What type of graph is best to use to show the relationship between sets of data?

Goryan [66]

B. Line graph A line graph is often the most effective format for illustrating a relationship between two variables that are both changing.

6 0

3 years ago

Multiply [4 0 -1 2 -3 -1] multiplied by [0 1 -3 1] A. [0 4 -6 3 -3 4] B. [0 -4 -6 1 3 -4] C. [-4 4 -3 -1 6 -4] D. [0 4 -6 1 3 -4

Dominik [7]

Answer:

$\text{D. }\left[\begin{array}{cc}0&4\\-6&1\\3&-4\end{array}\right]$

Step-by-step explanation:

It would be helpful to know the numbers of rows and columns, so we don't have to guess.

Any number of on-line calculators and/or graphing calculators can multiply these matrices for you. Excel and other spreadsheets can do this, too. Forming the 6 sums of 2 products is tedious to do by hand.

For example, the term in the product matrix at row 1 column 2 is the sum of products of the numbers in row 1 of the first matrix and column 2 of the second matrix:

4·1 + 0·1 = 4

_____

The attachment shows the matrix multiplication on a TI-84 calculator.

5 0

3 years ago