A 14-meter ladder is placed on a 23-meter wall. How far is the foot of the ladder from the base of the wall?

Answer:

B.5

Step-by-step explanation:

6x-2x=7+23-10

4x=20

X =20÷4

X =5

Answer:

angle ABD =55 degree

angle BCD= 125 degree

Step-by-step explanation:

angle ABD and angle DBC are supplementary angles.

Hence, angle ABD +angle DBC = 180 --equation 1

angle ABD = (2x+15) ---equation 2

angle BCD = (4x+45) ------equation 3

ABD+DBC=180

(2x+15) + ( 4x+45 ) = 180

2x+4x+15+45=180

6x+60=180

6x=180-60

6x=120

x=120/6=20

angle ABD= 2x+15= 2(20) +15

                              =40+15= 55 degree

angle BCD= 4x+45 = 4(20) +45

                                = 80+45= 125 degree

Hence, angle ABD =55 degree

            angle BCD= 125 degree

Hope this helps.

Answer:

[tex]x > 4[/tex]

Step-by-step explanation:

X is greater than 4

Answer:

x = 10 and y = 15

Step-by-step explanation:

The arrows on lines AB and CD indicate that they are parallel. This means that we have to look for Z-angles (I don't know if they are called the same where you're from but I hope you recognise the term). This means that ∠ABC = ∠BCD

5x - 20° = x + 20°

4x = 40°

x = 10°, which gives us the first answer.

The angle formed by points ACE (a straight line) is 180 degrees. Lets refer to this as angle ACE. We also know this angle consists of angle ACB, BCD and DCE. This gives us the following equation:

angle ACE = angle ACB + x + 20° + y + 20° = 180°

angle ACB + x + y + 40° = 180°

angle ACB = -x - y + 140°

Inserting the x we found earlier this gives

∠ACB = - y + 130°

Now we can find a second equation to describe ACB by looking at the triangle it is inside. The angles in a triangle always add up to 180°, giving the following expression:

4y - 25° + 5x - 20° + ∠ACB = 180°

Substituting x again gives

4y - 25° + 50° - 20° + ACB = 180°

ACB = 180 - 4y - 5° = 175° -4y

Combining the two expressions for ACB gives the final equation to solve:

175° - 4y = -y + 130°

-3y = -45

y = 15

If you have any questions still feel free to reach out!

Answer:

11x-24

Step-by-step explanation:

All you have to do is add (3x-2)+(8x-22)=11x-24.

Answer:

RT = 20

Step-by-step explanation:

Since Y is the midpoint of RT , then

RY = YT , that is

3x - 2 = 8x - 22 ( subtract 8x from both sides )

- 5x - 2 = - 22 ( add 2 to both sides )

- 5x = - 20 ( divide both sides by - 5 )

x = 4

Then

RT = RY + YT = 3x - 2 + 8x - 22 = 11x - 24 , so

RT = 11(4) - 24 = 44 - 24 = 20

Answer: number 3 is 10 and number 4 is 3.16

Step-by-step explanation:

its just finding the square roots and doing the operation that follows

Answer:

6

Step-by-step explanation:

[tex]a + b + c = 20[/tex]

[tex]a + b = 14(i)[/tex]

Putting value (a + b) in the above equation

[tex]14 + c = 20[/tex]

[tex]c = 20 - 14[/tex]

[tex]c = 6[/tex]

Answer:

S=y-2

Step-by-step explanation:

S=Sam

y=Sue's age

Since it's 2 years younger, you would want to subtract 2 from y.

Step-by-step explanation:

I went through all of them and also checked what you did.

1. no, wrong. I don't know how you got to the 2×7 in there.

17 - 5×4/2 = 17 - 5×2 = 17 - 10 = 7

2. we just did in the other question. it is 26.

3. correct for the approach, but mistake in the final calculation : 28 + 64 = 92 !

4. (4-7)² - 6×7 + 20

how did you get to the 26 for -6×7 + 20 ?

no.

-3² - 42 + 20 = 9 - 42 + 20 = -13

5. 2×(18 - (5 + 3²)/7)

2×(18 - (5 + 9)/7) = 2×(18 - 14/7) = 2×(18 - 2) = 36 - 4 = 32

6. ((-5 + 1)/2)³ - |‐7|

that may part means "absolute value" of -7. and you know, that means 7.

(-4/2)³ - 7 = -2³ - 7 = -8 - 7 = -15

7. 1 + (-2 - 5)² + (14-17)×4

1 + -7² + -3×4 = 1 + 49 - 12 = 38

8. (6×(2+4) - 1) / (2×3 + 1)

(6×6 -1) / (6 + 1) = 35 / 7 = 5

9. (2⁵/8 + 3) / (4 + 3)

(32/8 + 3) / (7) = (4 + 3) / 7 = 7/7 = 1

10. (17×5 - 3×5) / (3² + 1)

(14×5) / (9 + 1) (as for same factors we can contract the expressions like 17×5 - 3×5 = 14×5)

70 / 10 = 7

11. (13 + 7²/7) / (9 - 20/4 - 16)

(13 + 49/7) / (9 - 5 - 16) = (13 + 7) / (-12) = 20/-12 = -5/3

12. - |-16| / ((3² - 4) / (5 - 10))

-16 / ((9-4) / (-5)) = -16 / (5/-5) = -16 / -1 = 16

Answer:

60

Step-by-step explanation:

4a + 2b² -2(a-3b)

a = 2 and b = 4

4(2) + 2(4)² - 2(2-3(4))

8 + 32 -2(2-12)

40 - 2(-10)

40 +20

60

Therefore 60 is correct.

Answer:

? = 120, ? = 145, respectively

Step-by-step explanation:

? + 60 = 180

? (+ 60 - 60) = 180 - 60

? = 120

35 + ? = 180

(35 - 35) + ? = 180 - 35

? = 145

Answer:

Let the number be x

half the number can be written as

x/2

then 5 less than half of the number can be written as

(x/2) - 5

Answer:

x = -36

Step-by-step explanation:

x/3+7=-5

Subtract 7 from each side

x/3+7-7=-5-7

x/3 = -12

Multiply each side by 3

x/3*3 = -12*3

x = -36

Answer:

A

Step-by-step explanation:

[tex]\frac{x}{3}[/tex] + 7 = - 5 ( multiply through by 3 to clear the fraction )

x + 21 = - 15 ( subtract 21 from both sides )

x = - 36 → A

Answer:

76

Step-by-step explanation:

let the number be x

Then 16 + x/-4 = -3, so

x/-4 = -16-3 = -19 (add -16 on both sides)

x = -4*-19 = 76 (multiply by -4 on both sides)

Answer:

-3a^2= -3*(-6)^2

Step-by-step explanation:

-3a^2 = -3*a^2 = -3*(-6)^2

Step-by-step explanation:

DBC = TBC + DBT

DBT = DBC - TBC

DBT = 25X +7 -( 12X + 5 )

DBT = 25X + 7 - 12X -5

DBT = 13 X + 2

TBC = 12x + 5

DBC = 25x + 7

ur question is missing an information to find x

Answer:

This word phrase into a equation is

4x -8 = 20

Step-by-step explanation:

1x +1 +1 +6x > 3 ( 1x - 4) - 1(1x - 4)

7x +2 > 3x - 12 - 1x +4

7x - 3x +1x > - 2-12+4

5x > - 10

x > - 2

Answer:

Step-by-step explanation:

Volume of the cube = s^3

s = 9cm

V = 9 * 9 * 9

V = 729 cm^3

d = mass / volume

d = 3645 / 729

d = 5 grams / cm^3

Answer:

5/1

Step-by-step explanation:

the first set of the numbers you divide by 2 to get the answer. To get the answer for the second set of numbers, you divide by 3 to get your answer

A litter of pupples had 2 white pupples and 3 brown pupples. What percent of white pupples are in the litter? Round to the nearest whole number.?

답변:(C) 40%

Answer:

X (2, 1)

Y (2, 3)

W (5, 5)

Step-by-step explanation:

The current points are:

X (-2, -1)

Y (-2, -3)

W (-5, -5)

Now, after rotating 180 degrees around the origin, here is what points Y, Y, and W would look like:

X (2, 1)

Y (2, 3)

W (5, 5)

Plot these new points on the graph, and you'll have a new figure which will be rotated to 180 degrees.

I have also provided you with a graph, showing both, the original and the rotated version, below.

Answer:

He is ten.

Step-by-step explanation:

10 yrs old. Go ahead 10 yrs to make 20. Which is four times as much as five years old. (Which is 5 years before 10)

Hope this helps! :)

Answer:

Present age = 10

Step-by-step explanation:

Let us assume that,

→ Present age = x

Forming the equation,

→ x + 10 = 4(x - 5)

Now the value of x will be,

→ x + 10 = 4(x - 5)

→ x + 10 = 4x - 20

→ x - 4x = -20 - 10

→ -3x = -30

→ x = -30/-3

→ x = 30/3

→ [ x = 10 ]

Hence, the boy's age is 10.

I assume a, b, and c are the measures of the angles A, B, and C themselves. (If you meant lengths of the sides opposite these angles, this would be impossible.)

The interior angles to any triangle sum to 180° in measure, so

A + B + C = 180°

Now,

• A is twice the size of B, so A = 2B or B = A/2

• C measures 20° less than A, so C = A - 20°

Substitute these into the first equation and solve for A :

A + A/2 + (A - 20°) = 180°

5/2 A - 20° = 180°

5/2 A = 200°

A = 80°

Solve for B and C :

B = 80°/2

B = 40°

C = 80° - 20°

C = 60°

Answer:

Step-by-step explanation: