All categories

3 years ago

Given: — Xw Is an altitude M Prove: x=12

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

Answer:

See explanation

Step-by-step explanation:

Given: XW is an altitude

m∠XWY=8x-6

Prove: x=2

Solution:

Statement Reason

1. XW is an altitude Given

2. m∠XWY = 90° Definition of altitude

3. m∠XWY = 8x - 6 Given

4. 8x - 6 = 90 Substitution property

5. 8x - 6 + 6 = 90 + 6 Addition property of equality

8x = 90

6. x = 12 Division property of equality

You might be interested in

There are 40 houses in a neighborhood.Company X provides electricity to 1/8 of the houses ,how many houses does Company X provid

Sedaia [141]

Answer:

5 houses

Step-by-step explanation:

40 × 1/8

40/8

5 houses

7 0

3 years ago

1 .the base of a trapezoid are 11 meter and 14 meters.its height is 10 meters . what is the area of the trapezoid?

garik1379 [7]

Answer:11

Step-by-step explanation: Bases of trapezoid : 11 meters and 14 meters

height of trapezoid : 10 meters

Area of trapezoid = (sum of bases / 2) height

A = (11m + 14m)/2 * 10m

A = 25m / 2 * 10m

A = 12.5m * 10m

A = 125m²

8 0

3 years ago

Read 2 more answers

The equation of line WX is 2x + y = -5. What is the equation of a line perpendicular to line WX in slope-intercept form that con

sveticcg [70]

Answer:

The third choice is the one you want

Step-by-step explanation:

If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign. Solving for y takes care of finding the slope of WX:

2x + y = -5 so

y = -2x - 5

The slope is -2. That means that the reciprocal slope is 1/2. Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y. Start by filling in the m, the x value and the y value:

$y - (-2) = \frac{1}{2}(x-(-1))$

Getting rid of the double negatives gives us:

$y+2=\frac{1}{2}(x+1)$

Distributing then gives us:

$y+2=\frac{1}{2}x+\frac{1}{2}$

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

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

And the final equation in slope-intercept form is:

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

8 0

3 years ago

what do i write for this " Write a problem that requires adding 1 to the quotient when interpreting the remainder."

Mariana [72]

You should write a ( real world situation ) question that can only have whole numbers as a solution because you would divide and then you can not have a fraction left over so instead you add one. For instance there are 132 students going on a field trip. 20 students can fit on each bus. how many buses are needed? 7 because when you divide 132 by 20 you get 6 remainder 12. You can not just make 12 students walk to the location so you would add an extra bus.

6 0

3 years ago

Write an integer for the situation. A plane ascended 34,200 feet.

lesya692 [45]

Answer:

34,200

Step-by-step explanation:

Ascend means up so it's positive.

6 0

3 years ago