AB + BC = AC
x + 16 + 4x + 11 = 77
5x = 77 - 27
5x = 50
x = 50/5
x = 10
AB = x + 16
AB = 10 + 16
AB = 26

What is the reasoning for each step

Answers

Answer 1

Hey there mate :)

As per question, AB + BC = AC are the sides of a triangle.

=> AB + BC = AC

( AC is hypotenuse and AB and BC are remaining two sides )

=> (x + 16) + (4x + 11) = 77

(These are the given values of each side such as [x+16]=AB ; BC=[4x+11] and AC=77)

=> 5x = 77 - 27

=> 5x = 50

=> x = 50/5

=> x = 10

( Now these above steps are the continuing solving processes of given values)

=> AB = x + 16

(Previously we got value x and now substitute its value)

=> AB = 10 + 16

=> AB = 26

(Now these are the remaining solving processes)

~ Benjemin360


Related Questions

please help i have a test tommorrow and im struggling

Answers

Answer:

Step-by-step explanation:

to find the slope you do, [tex]m=y{2}-y{1}/x2-x1\\ m=16/-4\\ m=-4\\[/tex]The new equation is going to be y=-4x+b, to find b you plug one of the points you are given and solve for b. [tex]-6=-4(1)+b\\-6=-4+b\\-2=b[/tex]the you use the info and you should get y=mx+b, which in this case is y=-4x-2

Hope that helps for the other one.

How many integers are there from 1000 to 2022 that are divisible by 4 but are not divisible by 5 ?

correct answer gets brainliest

Answers

Answer:

24

Step-by-step explanation:

Answer :

There Is 24

◊ YusuCr ◊

:)

What is 7088 times 1526?
Quick please!

Answers

Answer:

10816288

Step-by-step explanation:

 

     7088

×

      1526  

   42528

+

   141760

+

3544000

+

7088000  

108116288

       

a radio costs $25 what is the total cost of the radio, including a 6% sales tax

Answers

Answer:

Somewhere around 23.585

Step-by-step explanation:

The question is oddly written so I might of got it wrong.

Find the equation of the line that passes through (3,1) and is parallel to y=2x+3

Answers

Answer:

  y -1 = 2(x -3)

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx +b . . . . line with slope m and y-intercept b

  y = 2x +3 . . . . . line with slope 2 and y-intercept 3

__

A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)

__

Additional comment

If you want the slope-intercept form you can solve for y:

  y = 2(x -3) +1 = 2x -6 +1

  y = 2x -5 . . . . . slope-intercept form of the parallel line

1000 12 Simplify: | सरल कीजिये- 174952 65 ​

Answers

Answer:

Simplify

1000*12

12000

Hope this was your question

Step-by-step explanation:

Find the distance between the two points in simplest radical form. (6,6) (3,9)

Answers

Answer:

[tex]3\sqrt{2}[/tex] units

Step-by-step explanation:

To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

For this problem, we will identify [tex](x_1,y_1)\rightarrow(6,6)[/tex] and [tex](x_2,y_2)\rightarrow(3,9)[/tex]:

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(9-6)^2+(3-6)^2}\\\\d=\sqrt{(3)^2+(-3)^2}\\\\d=\sqrt{9+9}\\\\d=\sqrt{18}\\\\d=3\sqrt{2}[/tex]

Therefore, the distance between [tex](6,6)[/tex] and [tex](3,9)[/tex] is [tex]3\sqrt{2}[/tex] units

HELP HELP PLEASE!!

A crate holds a total of 180 pounds. There are 6 10 lb. sand bags in the crate and an unknown
number of 5 lb. sand bags. If the crate if completely filled to its max capacity, how many total sand
bags are in the crate?

Answers

Answer:

30 sand bags

Step-by-step explanation:

6 x 10 = 60

180 - 60 = 120

120/5 = 24

24 + 6 = 30

Please mark as brainliest ;)

in the diagram of rectangle ABCD below, m

Answers

Answer:

I think its B 36° its an acute angle

Answer:

84

Step-by-step explanation:

∠ABE° = 90  - 30 = 60

∠BFC° = 180 - 144 = 36

60 + 36 = 96

∠BEF° = 180 - 96 = 84

the length of a rectangle is equal to the 4 in more than the width if the perimeter of a rectangle is 46 in what is the length


NEED ANSWER ASAP ​

Answers

L=4+W
46=2L+2W
46=2(4+W)+2W
46=8+2W+2W
46=8+4W
38=4W
9.5=W

L=4+9.5
L=13.5 in.

Hope this helps. I can explain more if needed!!

I need the answer its due today

Answers

Answer:

fish..... ...... ................

6/8 as a sum of unit fractions

Answers

Answer:

1/8+1/8+1/8+1/8+1/8+1/8=6/8

Step-by-step explanation:

please I need it now will give brainliest

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared

Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Yes, any set of lengths with a common factor is a Pythagorean triple.

No, the lengths of Pythagorean triples cannot have any common factors.

No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.

Answers

Answer:

  (a)  Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Step-by-step explanation:

In general, scaling the numbers involved in a relationship does not change their relationship.

If we have ...

  a² +b² = c²

and we scale each number by a factor of k, then we get ...

  (ka)² +(kb)² = (kc)²

  k²a² +k²b² = k²c²

  k²(a² +b²) = k²c² . . . . same result as multiplying the original relation by k²

Leon is correct that multiplying a Pythagorean triple by a constant gives another Pythagorean triple.

Hola me pueden ayudar por favor es de matemáticas
4×(-5)=
2×(-9)=
-1×(-2)=
-3×(-2)=
6×(-7)=
4×(-9)=
-6×(-2)=
-10×(-5)=​

Answers

Answer:

Vea a continuación.

Step-by-step explanation:

4*(-5) = -202*(-9)=-18-1*(-2)=2.-3*(-2)=6.6*(-7)=-424*(-9)=-36-6*(-2)=12-10*(-5)=50.

Espero que esto ayude.

What is the amplitude of this function f(x) ? f(x)=34cos(3x)+4

Answers

Answer:

The amplitude is 34. So therefore your answer is 34.

Step-by-step explanation:

Vertical Shift: 4

Amplitude: 34

Period: 2pi/3

Answer:

The answer is: 3/4

Step-by-step explanation:

i took the test.

 Harry started to wash his car at 11:30 am. He washed it for 45 minutes before having a half an hour break. He then cleaned the inside of his car for 25 minutes. What time did he finish?​

Answers

Answer:

1:10 pm

Step-by-step explanation:

11:30 + 45 minutes = 12:15

12:15 + 30 minutes = 12:45

12:45 + 25 minutes = 1:10 pm

Asa received scores of 72, 97, and 82 on her last three math tests. She needs a mean test score of 82 to qualify for the math team. What is the first step in determining how many points she needs on her next test to qualify for the team?
Find the sum of all the numbers in the problem, 72 + 97 + 82 + 82.
Find the average score for the three tests that Asa has taken.
Determine the total number of points that she needs on the last test.
Determine how many total points are needed to have an average of 82

Answers

Answer:Average score for 3 tests is 83.67

Step-by-step explanation:sorry if im wrong

please hurry and I will give you brainlest if you are correct Graph the Solution to this inequality on the number line​

Answers

Answer:

x < 3 1/4

See picture below.

Step-by-step explanation:

1/2 x - 3 < -1 3/8

1/2 x < -11/8 + 24/8

1/2 x < 13/8

x < 13/4

x < 3 1/4

Circle C is centered at the origin. If Q10,0) lies on circle C, which of the following points also lies on circle C?
O A. (3,534)
O B. (5,573)
oc. (4,573)
OD. (6,4)

Answers

Answer:

The ANSWER on top is WRONG!!!!

Correct answer is: 5,5√3

Step-by-step explanation:

I got it right please hook me up with a 5 star and a thanks!

The point lies on circle C is,

⇒  (5, 5√3)

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

Circle C is centered at the origin.

And, Point Q (10, 0) lies on circle C.

Now, The equation of circle with center origin is,

⇒ (x - 10)² + y² = r²

Here, We have;

Radius = 10 units

Hence, Equation of circle is,

⇒ (x - 10)² + y² = 100

Now, By options;

Point lies on the circle is satisfy the equation of circle;

Let the point = (5, 5√3)

⇒ (x - 10)² + y² = 100

⇒ (5 - 10)² + (5√3)² = 100

⇒ 25 + 75 = 100

⇒ 100 = 100

Thus, The point lies on circle C is,

⇒  (5, 5√3)

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ5

The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers

Answers

I don’t know the answer I just need points
A // 9

* 9x2 = 18

18-9 = 9

9-9 = 0

Lily surveyed all the seventh graders at her school about their favorite snack. The table shows the results.

A.
B
C.
D.

Answers

Answer:

D

Step-by-step explanation:

Hello :)

By adding up the number of students which we will call a sample size, then dividing it by each individual categorization students picked, we can then figure out the percentage of people who chose that categorization.

18+24+24+54=120

Let's find every percentage.

Popcorn: 18 students choose this choice. Divide that by the total of students to get 0.15, then multiply by 100 to get 15%.

Pretzels: 24 students chose this. Divide by the total to get 0.2, multiply by 100 to get 20%.

Chips: 24 students chose this. Divide by the total to get 0.2, multiply by 100 to get 20%.

Candy: 54 students chose for candy. Divide this by the total amount of students to get 0.45, multiply by 100 to get 45%.

The correct percentage graph is D. Popcorn clearly says that it is 15 percent, and every other section is the correct amount of percentage.

Twenty- seven times thirteen do the work

Answers

Twenty seven times thirteen equals ninety one

Given that
7
x

2
y
=
30

Find
x
when
y
=
1

Answers

Answer:

7x-2y=30

Find x when y=1

7x-2=30

7x=32

x= 32/7

or decimal form:

4.57 (rounded to the nearest hundredth)

My dad is 64 years old and I am N years old. How old shall we be in x years’ time?

Answers

Answer:

Dad 64 + x

You n + x

Step-by-step explanation:

My dad is 64 years old and I am N years old. How old shall we be in x years’ time?

Dad 64 + x

You n + x

Identify the factor pairs of the terms 4x2+ 10x that share the greatest common factor

Answers

The correct answer would be 18

Does it triangle? 5 feet, 9 feet, 15 feet

Answers

Answer:

It is not a triangle

Step-by-step explanation:

The Triangle Inequality theorem states that in a triangle, [tex]a+b>c[/tex], where [tex]a[/tex] and [tex]b[/tex] are shorter side lengths and [tex]c[/tex] is the longest side length.


Given that [tex]5+9<15[/tex], the given side lengths do not compose a valid triangle.

can someone help me with this?

Answers

pretty sure it’s D because that’s a no more than symbol

Aunt Polly asked Tom to paint the entire fence, but he painted
only 8 yards and then ran away to play. Sid had to finish the job
for Tom. Sid started at noon, and by 12:30 p.m., 14 yards of
the fence were painted (including what Tom had painted). By
2:00 p.m., 32 yards were painted, and by 2:30 p.m., 38 yards
were painted
Lett be the number of minutes that have passed since Sid
started painting at noon, but not past 4:30 p.m. Write an
equation that shows the relationship between tand P, where P
is the number of yards of painted fence.

Answers

Every half hour Sid paints 6 yards, so by 4:30 PM he will have painted 62 yards.

Linear equations

To show the relationship between T and P, where P is the number of yards of painted fence, the following calculation must be performed:

12:30 - 12:00 = 14 - 8 /// 0.30 = 614:00 - 12:30 = 32 - 14 /// 1:30 = 1814:30 - 14:00 = 38 - 32 /// 0:30 = 616:30 - 14:30 = 2 x 12 = 2438 + 24 = 62

Therefore, every half hour Sid paints 6 yards, so by 4:30 PM he will have painted 62 yards.

Learn more about linear equations in https://brainly.com/question/25296786

A restaurant stores flour, rice, and sugar in three different cylindrical containers. 1. What is the approximate volume of the sugar container? Show your work. (2 points)

Answers

The volume of the container is equal to V=πr2h.

What is the volume?

In mathematics and related areas, volume refers to the space occupied by an object. The volume is usually given in units such as:

Cubic meters.Cubic centimeters.Cubic millimeters.

How to calculate the volume?

The way to calculate the volume mainly depends on the shape of the object. In the case of cylinders, the formula is:

V=πr2hVolume = π (3.14169) r (radio) h (height)

You can use this formula to calculate the exact volume of any cylindrical object by using the radio and height.

Note: This question is incomplete because there is no information about the sugar container. Due to this, I answered it based on general knowledge.

Learn more about volume in: https://brainly.com/question/1578538

what is the scale factor from abc to def

Answers

Answer: B. 1/6

Step-by-step explanation:

To find the scale factor from triangle ABC to triangle DEF, you can divide each side length by its corresponding side on the other triangle.

72 ÷ 12 = 6

42 ÷ 7 = 6

66 ÷ 11 = 6

Now, the options are narrowed down to either B or C. Since the dilation shown reduces the size of triangle ABC to triangle DEF, it is a reduction. Therefore, the scale factor must be a fraction, leaving the only correct answer to be choice B.

I hope this helps!

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