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3 years ago

Solve for x. please show work

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

Those 2 angles makes up corresponding angles in parallel lines. Which means, both two angles equal to each other because this is a rule that exists when both of the lines are parallel to each other which is indicated with red arrows in the photo.
75 = 11x - 2
75 + 2 = 11x
77 = 11x
X = 77 / 11
X = 7
The answer is 7.

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Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.

Mila [183]

Step-by-step explanation:

the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)

= (3,14 ×16)+(196)

= 50,24 +196

= 246,24

= 246,2

7 0

2 years ago

Darlene has 59 pages to type. so far she gas type 23 pages. what fraction of the job is finished

coldgirl [10]

Answer:

$\frac{23}{59}$

Step-by-step explanation:

A fraction can be found be taking the current amount over the total amount:

$\frac{current}{total}=\frac{23}{59}$

Since Darlene has only typed 23 pages out of 59, her fraction is 23 over 59. Fractions must always be in simplest form, which means that both the numerator and denominator can no longer be divided by the same factor. Since the numbers 23 and 59 are both prime and have no other factors other than 1 and themselves, the fraction 23/59 is in simplest form.

4 0

3 years ago

six times a number is greater than 20 mare than that number. what are the possible values of that number

algol13

Answer:

x > 4

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.

4 0

3 years ago

Read 2 more answers

The picture shows a barn door:

Hitman42 [59]

Answer:

(D)9 divided by sin 60 degrees

Step-by-step explanation:

From the given figure, using trigonometry

$\frac{BC}{AB}=sin60^{{\circ}}$

Substituting the given values, we get

$\frac{9}{AB}=sin60^{{\circ}}$

$\frac{9}{sin60^{\circ}}=AB$

$AB=\frac{9{\times}2}{\sqrt{3}}$

$AB=\frac{18}{\sqrt{3}}$

$AB=10.4 feet$

Thus, The length of the support AB is 9 divided by sin 60 degrees.

5 0

3 years ago

Read 2 more answers

Question 14

Reil [10]

Answer:

The system of equations has a one unique solution

Step-by-step explanation:

To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:

1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or

2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or

3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)

So we write them in slope -intercept form:

First equation:

$6x+y=-1\\y=-6x-1$

second equation:

$-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1$

So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.

6 0

2 years ago