The University of Central Florida is planning to build a new access ramp for wheelchairs at its education building. The main entrance to the building is 4 feet above the sidewalk level. The angle of elevation from where the ramp and sidewalk would meet is 8.1°. Determine the length of the ramp to the nearest tenth of a foot.

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

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Answer:

122°

Step-by-step explanation:

10a + 2° + 5a - 2° = 180° [ being linear pair ]

15a = 180°

a = 180° / 15

a =12°

Now

<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°

Hope it will help :)

Answer:

7, 8, 8,7,8,9

Step-by-step explanation:

brainliest plss!!<3

Answer:

you put the points into the slope formula and solve : (y2-y1)/(x2-x1)

1. (4 -1) / (-2 -3)

3 / -5

2. (-1 -(-2)) / (5 - 0)

(-1 +2) / 5

1/ 5

Step-by-step explanation:

i hope this helped :)

Answer:

the first slope is 3/-5

the second one is 3/5

Step-by-step explanation:

Answer:

look in explanation

Step-by-step explanation:

1) bisector means cutting an angle in half. the small lines between segment SM and MT mean they are congruent. this means MW is a bisector. Since both halves of ST are congruent, we know SM = 19. 19+19=38

2) same logic here, M bisects ST. set both halves of ST equal to each other and solve.

3x-6=x+8

2x+14

x=7

plug back in to find MT (7)+8=15. MT=SM so double 15 to get ST. ST=30

3) the bisector will be exactly halfway between the points.

4) find difference between x and y values, and divide by 2

2-2=0 0/2=0 x moves 0

13-1=12 12/2=6 y moves 6

so add 0 and 6 to 2,1 to get (2,7)

5) same process

6--6=12 12/2=6

6-0=6 6/2=3

add 6 and 3 to -6,0 to get (0,3)

6) find the change in x and y between the coordinate sets. (x: 1- -1=2) (y: 2-4=-2) take the opposite of those values and add them to M

(x:1-2=-1) (y:2+2=4)

(-1, 4) are the other coordinates for C

7) take the same steps

(x:3-1=2) (y:7-1=6)

use -2 and -6

(x:3-2=1) (y:7-6=1)

(1,1) are other coordinates for C

8) use distance formula

sqrt (x1-x2)^2 + (y1-y2)^2

sqrt(1--1)^2 +(2-4)^2

sqrt (2)^2 +(-2)^2

sqrt 4+4

sqrt 8

9) same process

sqrt (-1-3)^2+(-5--8)^2

sqrt (-4)^2 +(3)^2

sqrt 16+9

sqrt 25

5

Answer:

No

Step-by-step explanation:

3x-5= 4+2x

Or, x=4+5

x=9

Answer:

x = 77

Step-by-step explanation:

no hablo ingles lo siento

Answer:

The lines are parallel

Step-by-step explanation:

When lines are parallel they travel side-by-side without ever crossing paths.

Answer: Parallel

Step-by-step explanation:

Two parellel lines have the same slope, thus will never cross, regardless of how far in each direction you go. This is true of the image attached, thus the lines are parallel.

Answer:

B

Step-by-step explanation:

Answer:

A.,B.,and C.

Step-by-step explanation:

The two businesses Ashton should choose are a beauty salon and a tutoring center.

In business, a service can differ from a product because a service is not a physical good but it represents help to the customers through the work of employees.

From the given options the only two businesses that are based on service will be;

The beauty salon - It will help customers with their hair, nails, make-up, etc.

The tutoring center - It will help customers learn new things.

Therefore, the two businesses Ashton should choose are a beauty salon and a tutoring center.

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Answer:

7)x=11

8)x=16

9)n=12

10)m=13

11)n=8

12)m=3

Step-by-step explanation:

Answer:

7= 11. 8=16. 9=12. 10=13 11=8. 12=3

Step-by-step explanation:

7= 9+2=11

8=12+4=16

9=9+3=12

10=8+5=14

11=7+1=8

12=3+0=3

Answer:

A positive slope of the trend line comparing homework scores and test scores means that higher homework scores infer a higher test score.

Step-by-step explanation:

Answer:

Zero

Step-by-step explanation:

Slope is:

[tex]\frac{Change of y}{Change of x}[/tex]

Since there is no change of the y value, there is no slope.

Answer:

Number of registered voters is less then the votes counted.

Step-by-step explanation:

From the question it is given that

total numbers of votes counted = v = 273600

percent of voters cast = 60% = 0.60

Let r be the total number of registered voters then

number of counted votes = percent of votes count x total numbers of registered voters

⇒p = 0.60 x r

273600 = 0.60 x r

⇒ r = 456000

thus, total numbers of registered voters is 456000

since, total numbers of voters > the numbers of registered voters

Therefore, the Number of registered voters is less then the appear on voting day.

Answer:

is this on khan academy?

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Jim will finish in 6 days because 300/50=6

So you know that Sam needs to finish the book in at exactly 4 days

300/4= 75 pages per day

Answer:

a lot

Step-by-step explanation:

a lot

Answer:

(4rs)^2 = 16r^2s^2

This is how I would rewrite it as a power of a product.

As a power of a product, we can write the expression as -

(4rs)².

Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -

[tex]$b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}[/tex]

where -

[b] = base of the logarithm

[x] = exponent

Given is the expression as follows -

16r²s²

We can write the expression given -

16r²s²

As a power of a product, we can write -

(4 x 4 x r x r x s x s)

(4² x r² x s²)

(4rs)²

Therefore, as a power of a product, we can write the expression as -

(4rs)².

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Answer:

it’s years

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...

Answer:

24 DVDs

Step-by-step explanation:

45% of 160 = 72

40% of 160 = 64

72+64=136

160-136=24

24 DVDs

To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm  the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to

form a right triangle.

In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.

By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.

Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.

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Answer: Solved below...

Answer: Yes, that is a right triangle.

Step-by-step explanation:

To tell whether this is a right triangle or not you use a^2 + b^2= c^2

c is the hypotenuse the hypotenuse is the longest side of a right triangle, opposite the right angle. A and B can be either of the triangles sides.

To get this answer: 80^2+39^2 = 89^2

6400 + 1521 = 7921

7921=7921  

Since they are the same this IS a right triangle. Here is a little help for if the a question asks if you have a right acute or obtuse. To tell if you have an acute triangle the sign will be a greater than sign for ex) 180 > 169. If you have a obtuse triangle the sign would be a less than sign for ex) 120 < 200.

Here is a problem like that if you do not understand:

6^2 +12^2 = 13^2 ( remember c is the hypotenuse)

36+144= 169

180 > 169

Have a nice day!

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

subtract to eliminate x

Step-by-step explanation:

Answer:the second one

Step-by-step explanation: hope this helps

Answer:no hablo espanol

Step-by-step explanation: