AABC is an isosceles triangle with vertex angle B, AB = 2x + 10, AC = 2x,
and BC = 4x - 16. Determine the length of the base of the triangle.

Answers are
A.117 degrees
B.26 degrees
C.15 degrees
D.22 degrees

Answers

Answer 1

Answer:

AC = 26 units

Step-by-step explanation:

Given that,

ABC is an isosceles triangle with vertex angle B such that,

AB = 2x + 10, AC = 2x,  and BC = 4x - 16

Two sides of an isosceles triangle are equal. It means that the angles corresponding to the same sides are equal. It means AB = BC

2x + 10 = 4x - 16

2x-4x = -10-16

-2x = -26

x = 13

AC is the base of the traingle.

AC = 2x

AC = 2(13)

AC = 26 units

So, the base of the triangle is equal to 26 units.

AABC Is An Isosceles Triangle With Vertex Angle B, AB = 2x + 10, AC = 2x,and BC = 4x - 16. Determine

Related Questions

what are the solutions to the equation |2x+8|-14?

Answers

Answer:

Step-by-step explanation:

Factor out the common term 2.

|2(x+4)|-14∣2(x+4)∣−14

Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Answers

Answer:

Blake will jog 12 blocks

Step-by-step explanation:

Allison : Blake = 3 : 2

If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?

Allison : Blake = 18 : x

Equate the ratios

3 : 2 = 18 : x

3/2 = 18/x

Cross multiply

3 * x = 2 * 18

3x = 36

Divide both sides by 3

x = 36 / 3

= 12

x = 12

Blake will jog 12 blocks

Answer:

12 blocks

Step-by-step explanation: she ran 12 blocks

Sketch a graph of the solutions to this situation,

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music. Take a picture and upload it.

Answers

Answer:

hey I was just wondering if u could help me with my

ine

Step-by-step explanation:

thank u

Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m

Answers

Step-by-step-explanation
He did on D. 78 m

Jsjskksjmsmsms

Answer:

Correct Answer is B

39 m

Step-by-step explanation:

Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39

39 + 39 = 78

144 - 78 = 66

66/2 = 33

39m is 6m more than 33m.

The sum of all sides 39 + 39 + 33 + 33 = 144

Plzzzzzzzz helpppppppppp plzzz like really fast

Answers

-4(4 + 2x) = 1/3 wx - 16
-16 - 8x + 16 = wx/3
3 (- 8x) = wx
-24x = wx
-24 = w

I hope this helps!

what is the GCF of 12 and 24

Answers

12
bdjxjdisisjfjfnfkdjjd

Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)

Answers

Answer:

x = 16

DISREGARD 16.5 MY BAD the answer is 16

Step-by-step explanation:

140 = 8x+12

Subtract 12 on both sides

128 = 8x

Divide by 8

16 = x

x = 16

Answer:

x = 16

Step-by-step explanation:

(8x + 12)° = 140°

8x + 12 = 140

8x = 128

x = 128 ÷ 8

x = 16

Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20

Answers

Answer:

D.

Step-by-step explanation:

The function f gives the temperature in degrees Celsius t hours after midnight.

Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).

For 1:00 AM, 1 hour after midnight, we will have f(1).

And for 12:00 PM (noon), we will have f(12).

We want to find the equation that represents the temperature at 1:30 PM.

1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.

Therefore, the correct statement would be:

f(13.5)=20.

Hence, our answer is D.

Notes:

A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.

Answer:

d

Step-by-step explanation:

Find the area .
Easy points

Answers

Answer:

570

Step-by-step explanation:

Area formula: 1/2bh

A: 38 x 30 = 1140

A: 1140 x 1/2 = 570

A: 570

Answer:

570

Step-by-step explanation:

Find the area of this sector

Answers

Answer:

7π mm²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )

   = π × 3² × [tex]\frac{28}{36}[/tex]

    = 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )

    = π × 7

    = 7π mm²

Answer:

0.0146607657 rad m

Write the equation of the line when m = 4 and the point (3, 15) lies on the line.

Answers

Answer:

y=4x+3

Step-by-step explanation:

y=mx+b

15=4(3)+b

15=12+b

-12 -12

3=b

y=4x+3

Find the value of X for the given pentagon?

Answers

Answer:

x = 44°

Step-by-step explanation:

The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.

Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.

To find the missing angle, first write an equation representing the given rule:

102° + 47° + 34° + 133° + x° = 360°

(316°) + x° = 360°

316° + x° - 316° = 360° - 316°

x° = 44°.

This way, because the rule must be true, the missing angle with this value will satisfy this:

102° + 47° + 34° + 133° + 44° = 360°

For this topic, here are some general angle rules for polygons:

n is the number of sides180° (n – 2) = sum of interior angles of any polygon.180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].360° = sum of exterior angles of any polygon.360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].

Line m passes through points (10, 10) and (2, 1). Line n is perpendicular to m. What is the
slope of line n?

Answers

Answer:

-8/9

Step-by-step explanation:

my work is in the picture above. lmk if you'd like me to explain more

The slope of line [n] would be -8/9.

What is the general equation of a Straight line?

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                               {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}x/a + y/b = 1                                        {intercept form}x cos(β) + y sin(β) = L                        {Normal form}

We have line [m] passes through points (10, 10) and (2, 1).

We can write the equation of line [m] as follows.

slope of line [m] = a = (1 - 10)/(2 - 10) = -9/-8 = 9/8

a = 9/8

slope of line [n] -

m[n] x a = - 1

m[n] = -1/a

m[n] = -8/9

Therefore, the slope of line [n] would be -8/9.

To solve more questions on straight lines, visit the link below-

brainly.com/question/20400984

#SPJ2

When simplified, which of the following expressions has a coefficient of 5?

-4x - 9x
-4x + 9x
4x - 9x
4x - (-9x)

please help

Answers

Answer:

It would be -4x +9x

Step-by-step explanation:

-4 +9 is 5 so they combine since they are like terms. Therefore the coefficient would be 5.

a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

answer and i’ll make your brainliest

Answers

Answer:

yes it will be able fit through

Step-by-step explanation:

simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through

What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?

If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?

If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?

Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.

Answers

Answer:

I'm confused on what it's asking

Step-by-step explanation:

Simplify the following expression.

5+((2*5) -7)^2 -9

Your answer:

1


5


-4


16

(HELP PLEASE!!!)

Answers

Answer:

the answer is 5

Step-by-step explanation:

At 11 p.M., it was 48°F. The temperature was 6° cooler by 7 a.M. By 11 a.M. The temperature was 48°F again. What integer represents the number of degrees the temperature changed from 7 a.M. To 11 a.M.?

Answers

Answer:

6°F

Step-by-step explanation:

Given that:

Temperature at 11pm = 48°F

Temperature at 7am = 6° cooler

Temperature at 11am = 48°F

Number of degrees temperature changed from 7am to 11 am

Exact temperature at 7am = (temperature at 11 pm - 6°)

= 48°F - 6°F

= 42°F

Temperature change from 7am to 11am

Temperature at 11 am - temperature at 7am

48°F - 42°F

= 6°F

help please please please please

Answers

Answer:

y-6=-6(x-1)

Step-by-step explanation:

Hope this helps :D

have a nice thanksgiving

Answer:

[tex]y-6=-6(x-1)[/tex]

Step-by-step explanation:

A point-slope equation requires two values in order to write it: one coordinate and the slope.

First, find the slope between the two given points. To find the slope, you would subtract the first Y from the second Y and the first X from the second X. Y goes on top of the fraction bar, making the equation look like this:

[tex]\frac{6-(-6)}{1-3}[/tex]

Then, simplify the slope equation:

[tex]\frac{6-(-6)}{1-3} = \frac{6+6}{1-3} = \frac{12}{-2} = -6[/tex]

The slope is -6.

Finally, choose one of the coordinates. For this, I'll pick (1, 6).

The point-slope equation is [tex]y-y_{1} =m(x-x_{1})[/tex]

So, simply fill in the [tex]m[/tex], [tex]y_{1}[/tex] , and [tex]x_{1}[/tex] spots with the value we have found.

[tex]m[/tex] is the slope, so replace it with -6.

[tex]y_{1}[/tex] = 6

[tex]x_{1}[/tex] = 1

Final answer:

[tex]y-6=-6(x-1)[/tex]

Solve 14+3n=5n−6 . Check your solution.



n= __

Answers

Answer:

N = 10

Step-by-step explanation:

Subtract 3n from both sides

14 = 2n - 6

add 6 to both sides

20 = 2n

divide by 2

n = 10

Answer:

n = 10

I hope this helps!

Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes

Answers

A I think this is the answer but I’m not sure

Answer:

A: 21 minutes

Step by step explanation:

If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.

 (-2, -3)and (-5, -3) ?​

Answers

Answer:

slope is zero equation is y=-3

Step-by-step explanation:

since there is no change in y and they cancel out so you just 0.

Jessica rode her bike for 2 hours at the speed of 23 miles per hour. How far did she travel?

Answers

2 times 23
answer is 46

Confused and need help please, step by step and exact location would be helpful

Answers

Answer:

This is it sorry about the last one

Step-by-step explanation:

ithink I posted the wrong one

Ennis ran 3 miles in 20 minutes and continues running at this rate for 1 hour. Cindy ran 6 miles in 30 minutes and continues running at this rate for 1 hour.

Answers

Answer:

Ennis=9 milesCindy=12 miles

Step-by-step explanation:

Step one:

given data

For Ennis

distance covered= 3 miles

time taken = 20 minutes

Hence Ennis speed is

velocity= distance/time

velocity= 3/20

velocity=0.15miles per minutes

Therefore in 1 hour that is 60 minutes the distance she will cover is

distance= velocity * time

Distance= 0.15*60

Distance= 9 miles

Step two:

For Cindy

distance covered= 6 miles

time taken = 30 minutes

Hence Cindy speed is

velocity= distance/time

velocity= 6/30

velocity=0.2miles per minutes

Therefore in 1 hour that is 60 minutes the distance she will cover is

distance= velocity * time

Distance= 0.2*60

Distance= 12 miles

the sum in the form a(b+c) such that the integers band chave no common factor.
99 +33

Answers

Answer:

33(3+1)

Step-by-step explanation:

Find the GCF of 99 and 33

99=3^2•1133=3•11So the GCF is 3•11=33

Factor 33 out

33(3+1)

Company A charges $3.25 per spirit banner. The equation C=2.45x represents the cost in dollars, C, for x spirit banners at Company B. How much more would it cost to purchase 80 spirit banners from the more expensive company?

Answers

Answer:

$64.00

Step-by-step explanation:

Company A:

C = 3.25x

3.25 x 80 = 260

Company B:

C = 2.45x

2.45 x 80 = 196

How much more?

260 - 196 = 64

Difference in Total price for 80 unit is $84

Given that;

Per spirit cost in company A = 3.5 per spirit

Cost equation for company B = C = 2.45x

Find:

Difference in Total price for 80 unit

Computation:

Difference in Total price for 80 unit = 80[3.5 - 2.45]

Difference in Total price for 80 unit = 80[1.05]

Difference in Total price for 80 unit = $84

Learn more:

https://brainly.com/question/6364615?referrer=searchResults

explain what it means to solve a system of equations

Answers

Answer:

um hope this helps :D

Step-by-step explanation:

A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I

What is a system of equations?

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.

To know more about a system of equations follow

https://brainly.com/question/13729904

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What is the missing step in this proof?
(image attached below)

Answers

C is the missing reason in this proof.
The missing proof is c

the tens digit is two less than the ones digit and sum of the digits is 8.

Answers

The answer is 35 !!!

Answer:

35

Step-by-step explanation:

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