A wheelchair ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its fi nal height is 6 feet.

Answer:

can u give me the brainliest

the answer is in the attached documents

Answer:

C

Step-by-step explanation:

To prove that two triangles are congruent using the SSS Congruence criterion, we must establish that all three sides of one triangle are equal to all the corresponding sides of the other.

Thus,

Side AD in ∆ADB is congruent to side AD in ∆ADC.

Side BD in ∆ADB is congruent to side CD in ∆ADC.

Side AB in ∆ADB is congruent to side AC in ∆ADC.

Therefore, based on the SSS congruence criterion, it is concluded that both triangles are congruent.

The statements necessary to prove that they are congruent by SSS is:

C.

Step-by-step explanation:

1. a + 130 =.180 ---> a = 50°

b + 130 + 120 = 360 ---> b = 110°

c + 120 = 180 ---> c = 60°

2. p + 44 = 180 ---> p = 136°

q + 44 = 180 ---> q = 136°

r = 44° (definition of vertical angles)

t = 34° (definition of vertical angles)

3. x = 50° (definition of vertical angles)

y = 50° (definition of alternate external angles)

Step-by-step explanation:

speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data

The top speed of a lion is 48 miles per hour.

Answer:

212

Step-by-step explanation:

The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

Learn more about matrix here:

https://brainly.com/question/11367104

#SPJ4

D was the answer for me.

Answer:

its c

Step-by-step explanation:

I just took the test

Step-by-step explanation:

To prove that two triangles are congruent by SAS, two sides and the INCLUDED angle in the first triangle must be congruent to the corresponding two sides and INCLUDED angle in the second one.

Answer:

s-74

Step-by-step explanation:

She ate 74 candies, out of the total S candies. So, if we do S-74, well find how many are left.

Answer:

Consecutive odd numbers will be 11 and 13.

Step-by-step explanation:

Let the two consecutive odd integers are n and (n + 2).

From the given question,

Sum between twice the smallest and the biggest is 35.

Since, smallest number is 'n' and biggest is (n + 2)

Therefore equation will be,

2n + (n + 2) = 35

(2n + n) + 2 = 35

3n + 2 = 35

3n = 33

n = 11

And (n + 2) = 13

Consecutive odd numbers will be,

11, 13

Answer:

HAH DUM

Step-by-step explanation:

Answer: from left to right -3,-1,1,3,5

Step-by-step explanation:

Substitute the x value from the chart into the equation for each number.

Respuesta:

4 1/5 bombones

3 1/3 bombones

Explicación paso a paso:

Distribuir 21 bombones entre 5 niños;

21/5 = 4 resto 1

Por lo tanto, se le da 4 chocolates a cada niño y el 1 chocolate restante se divide en 5 partes iguales y se le da 1/5 a cada niño. Por lo tanto, cada niño recibe 4 1/5 chocolates.

Distribuir 10 bombones entre 3 niños;

10/3 = 3 resto 1

Por lo tanto, se le da 3 chocolates a cada niño y el 1 chocolate restante se divide en 3 partes iguales y se le da 1/3 a cada niño. Por lo tanto, cada niño recibe 3 1/3 chocolates.

The value of k⁻¹(8) in for k(x) = 4 ÷ 5x - 6 is 2/35.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, k(x) = 4 ÷ 5x - 6.

k(x) = (4/5x) - 6.

Let, y = k(x).

y =  (4/5x) - 6.

(4/5x) = y + 6.

1/x = 5(y + 6)/4.

x = 4/{5(y + 6)}.

y = 4/{5(x + 6)}.

k⁻¹(x) = 4/{5(x + 6)}.

k⁻¹(8) = 4/{5(8 + 6)}.

k⁻¹(8) = 4/{5(14)}.

k⁻¹(8) = 4/70.

k⁻¹(8) = 2/35.

learn more about the inverse of a function here :

https://brainly.com/question/2541698

#SPJ1

Answer:

15% of 60 is equal to 9

Step-by-step explanation:

If this helps please mark as brainliest

On applying the midpoint theorem the values of x, y, and z are 2, 10 and 8 respectively.

What is the mid-point theorem?

According to the midpoint theorem, the line segment connecting any two triangle sides' midpoints is parallel to and equal to half of the third side.

The outer triangle is ABC and the inner triangle is DEF.

It can be seen that sides AB, BC and AC are equally divided such that AD=DB,

BE=EC and

CF=FA.

So, this proves that point D, E and F are the middle points of AB, BC and AC respectively.

Now, according to the midpoint theorem -

DF = 1/2(BC)

Plugging in the values -

x = (5x-6)/2

2x = 5x-6

2x-5x = -6

-3x = -6

x = 2

Now, for side DE -

DE = 1/2(AC)

Plugging in the values -

12 = (2z+8)/2

24 = 2z+8

24-8 = 2z

16 = 2z

z = 8

Now, for side EF -

EF = 1/2(AB)

Plugging in the values -

y = 20/2

y = 10

Therefore, the values obtained are x=2, y=10 and z=8.

To learn more about midpoint theorem from the given link

https://brainly.com/question/26189487

#SPJ1

Answer:

12 miles

Step-by-step explanation:

Kyle's speed = 2 mph

Steve's speed = 2 mph

Time traveled = 3 hours

Distance apart after 3 hours

Distance moved by Kyle + Distance moved by Steve

Distance = Speed * time

Distance moved by Kyle = 2 * 3 = 6 miles

Distance moved by Steve = 2 * 3 = 6 miles

Total distance apart = 6 + 6 = 12 miles

Answer:

2 units up

Step-by-step explanation:

You have no stretch because no number in front and nothing is done to x do no movement to the sides

Answer:

2

Step-by-step explanation:

100/5 = 20

x⁴ + 4 = 20

x⁴ = 20 - 4

x⁴ = 16

= 2 × 2 × 2 × 2

x⁴ = 2⁴

x = 2

Hence, the value of x is 2.

Answer:

18

Step-by-step explanation:

You can use a calculator for this

60%*30=18

or, if you want to solve it by hand, 60% equals 0.6=6/10=3/5

(3/5)*30=90/5=18

Answer:

18

Step-by-step explanation:

have a nice day!!

Answer:

All real numbers for both Range and Domain

R

or

(−∞,∞)

the value of log2 log32 is 0.5899 and  the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.J

The logarithmic equation that has the same solution as x-4=2^3 is log2(x-4)=3.

Logarithm

The logarithm of a number can be calculated from the following relationship:

Thus, the base of the logarithm is raised to the value that was equated earlier and this expression is equal to the logarithm.

So, we have that the third expression

Therefore, this expression is the one corresponding to x-4=2^3.

Learn more about logarithm in

brainly.com/question/7302008

#SPJ4

Given:

The expression is:

[tex]6x^2+3x+21[/tex]

To find:

The factor of the given expression by GCF.

Solution:

It is given that,

[tex]6x^2+3x+21[/tex]

The terms of the given expression are [tex]6x^2,3x,21[/tex]. The greatest common factor of these terms is 3.

[tex]6x^2+3x+21=3\times 2x^2+3\times x+3\times 7[/tex]

So, taking out the GCF, the given expression can be rewritten as:

[tex]6x^2+3x+21=3(2x^2+x+7)[/tex]

Therefore, the factor form of the given expression by GCF is [tex]3(2x^2+x+7)[/tex].

Answer:

x^-8.x^3

x^-8+3

x^-5

1/x^5

Step-by-step explanation:

Answer:

add all the sides together and if thats not it you learned something different from me:)

Answer: 384 yd

Step-by-step explanation: To find the surface area of a cube, simply calculate using this formula: [tex]SA=6a^2[/tex]. In this case, the [tex]a[/tex] is equal to 8 yards, input the number 8 into the formula.

[tex]SA=6(8)^2[/tex]

[tex]SA=384[/tex]

Hope this helped! ;)

Answer:

x = 81

Step-by-step explanation:

180 (62 + 37) = x

81 = x

Hope this helps!

Answer:

81

Step-by-step explanation:

x + 37 + 62 = 180

x + 99 = 180

x = 180 - 99

x = 81

Hi there!

We can find the values of x using right triangle trig.

Recall: SOHCAHTOA

sin = O/H (Opposite / Hypotenuse)

cos = A/H (Adjacent / Hypotenuse)

tan = O/A (Opposite / Adjacent)

Thus:

6. A = 14, H = 15

cos x = 14/15

cos⁻¹ (14/15) = x

x = 21.04° ≈ 21°

7. O = 19, A = 23

tan x = 19/23

tan⁻¹(19/23) = x

x = 39.56° ≈ 40°

8. A = 9, H = 17

cos x = 9/17

cos⁻¹(9/17) = x

x = 58.03 ≈ 58°

9. O = 43, H = 45

sin x = 43/45

sin⁻¹(43/45) = x

x = 72.85° ≈ 73°

Answer:

a. 1.05

b. 0.95

Step-by-step explanation:

a. 5 percent increase

5% = 0.05

Because it is increasing, so we add 1

1 + 0.05 = 1.05

b. 12 percent decrease

12% = 0.12

Because it is decreasing, so subtract 1

1 - 0.05 = 0.95

So, the answer is

a. 1.05

b. 0.95

Answer:

27

Step-by-step explanation:

Area of Triangle x 2 = 3 * 3

The reason I did not divide it by 2 is because of how the other triangle is bound to have the same area. Just leave it as it is because later you're going to reach the same answer.

3 * 3 = 9

Rectangle Area = 6 * 3 = 18

18 + 9 = 27

Answer:

i think b) option b

Step-by-step explanation:

lmk if this is incorrect