Answer: 12(x-5)
Step-by-step explanation:
Solve for x. Answer as a whole number.
Given:
In triangle ABC, AE is the angle bisector.
[tex]AB=4, BE=2, AC=x, CE=3[/tex]
To find:
The value of x.
Solution:
According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.
Using the angle bisector theorem, we get
[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]
[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]4\times 3=2\times x[/tex]
[tex]12=2x[/tex]
Divide both sides by 2.
[tex]\dfrac{12}{2}=x[/tex]
[tex]6=x[/tex]
Therefore, the value of x is 6.
What is the initial value of the function represented by this table?
A. 0
B. 2
C. 3
D. 5
Answer:
C... 3
Step-by-step explanation:
Please answer quickly with explanation. I am in need of major help.
Suppose you work at a local radio station. You are in charge of a $180 budget for
new tapes and CDs. Record companies will give you 21 promotional (free) CDs. You
can then buy tapes for $8 and CDs for $12.
a. Write a linear inequality that models this situation.
Answer
b. Graph the inequality. Make sure to use proper scales and to label your axes
Answer:
0---22.5 and 21---36
Step-by-step explanation:
you will always have 21 free CDs so you can put a closed circle on 21 then you can have a max of 15 CDs (180/12) soo put another closed circle on 36
now time for tapes, which is easier, the minimum is 0 and the max is 22.5. Now put closed circles on each and you're done. Except that .5 might get you in trouble, use your own discretion on rather to leave it on the .5 or round. I don't know what your teacher is looking for so I will let you decide.
No links please ASAP!!! Find the slope of the line that passes through (5,3) and (4,2).
Answer:
1
Step-by-step explanation:
y2 - y1/ x2 - x1
3-2/ 5-4 = 1/1 = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
can yall or someone help
Answer:
x would equal 40
Step-by-step explanation:
x+(2x-5)+(x+25)=180
4x+20=180
x=40
please help!!!!!!!!!
Answer:
that would be 1
Step-by-step explanation:
in this equation x=74 and 74/74 equals one
can someone pls help
Answer:
C
Step-by-step explanation:
4(5)+10-12=18
Find the volume of each square pyramid given its slant height. Round to the nearest tenth. It looks like a normal pyramid with a slant height of 2.8 and a base of one of the triangles is 1.2.
Answer:
1.344 cubic units
Step-by-step explanation:
Given data
Base edge a= 1.2
Hieght= 2.8
The expression for the volume of a pyramid is
V= a^2h/3
substitute
V= 1.2^2* 2.8/3
V= 1.44*2.8/3
V= 4.032/3
V= 1.34cubic units
14. Michelle purchased three stuffed bears for the price shown. The sales tax on her
purchase was 8.5%. What was the total cost for the stuffed bears? Round to the nearest
cent.
$9.49
w
F. $10.30
G. $30.89
H $80.67
3. $2.42
Answer: $30.89
Step-by-step explanation: you time $9.49 by three (28.47) then you find 8.5% of that total (2.41995) and then you add that to the total for the three bears and round to the nearest cent
Please help. Find the area of the figure below.
Answer:
81 un²
Step-by-step explanation:
9 · 7 = 63 un²
(b · h) ÷ 2
(5 · 4) ÷ 2 = 10 un²
(4 · 4) ÷ 2 = 8 un²
8 un² + 10 un² + 63 un²
81 un²
Answer:
81 un^2
Step-by-step explanation:
Find area of the rectangle. 9 x 7 = 63
Find area of the triangle. 9 x 4 = 36/2=18
63 + 18 = 81
hhhhhhhheeeeeeeeelllllllllllpppppppp pls
Answer:
18
Step-by-step explanation:
2^3 = 8
4^2 = 16
8+16=24
3/4 of 24 Is 18
Answer:
18
Step-by-step explanation:
[tex] \frac{3}{4} (8 + 16) \\ \frac{3}{4}(24) \\ 3 \times 6 \\ 18[/tex]
What is the total surface area of the rectangular prism below?
Answer:
solution given:
length[l]=3 in
breadth [b]=5in
height [h]=8in
total surface area of the rectangular prism=?
we have
total surface area of the rectangular prism
=2[lb+bh+lh]
=2[3*5+5*8+3*8]
=158 in²
total surface area of the rectangular prism is 158 in².
Answer:
158
Step-by-step explanation:
formula is 2(hL+wh+lw)
Length- 3
width- 5
height - 8
Substitue values and get answer.
2 (24+ 40+15)
2 (79)
= 158
have a wonderful day!
Convert the following equation into slope intercept form y-6=2(x+4)
Answer:
y = 2x +14
Step-by-step explanation:
We need to convert the given equation into slope intercept form ,
=> y - 6 = 2(x+4)
=> y -6= 2x + 8
=> y = 2x +8+6
=> y = 2x + 14
• Hence the required answer is y = 2x + 14What is the volume of a hemisphere with the radius of 24 ft?
Answer:
Toby began his math homework at 6:38 pm.
He finished at 7:09 pm.
How many minutes did Toby spend on his math homework?
Step-by-step explanation:
What is the first step in solving the following equation?
28 = -12 - 4x
Answer:
4x = - 12 - 28Step-by-step explanation:
When we transpose - 4x to the LHS then it becomes positive i.e +4x
Now we transpose 28 to the RHS then it becomes negative i.e - 28
So the first step you have to is,
4x = - 12 - 28
Find the volume
V=bh
* B is length times width
Answer:
448 yd^3
Step-by-step explanation:
V = Bh where B is l * w
V = l*w*h
V = 8* 14* 4
=448 yd^3
Answer:
The volume of this rectangular prism is equal to [tex]448yd^{3}[/tex].
Step-by-step explanation:
From the question, we know the formula for the volume of a rectangular prism is V = Bh (where B is length times width, and "h" is the height).
Now we replace B (because we know that B is length times width) and get...
V = lwh (where "l" is the length of the prism, and "w" is the width of the prism.
Now we just substitute the values and get...
[tex]V = lwh = (14)(4)(8) = 448yd^{3}[/tex]
2x + 3y = -60
2x + 3y = 120
quations
Which statement describes the solution to this system of equations?
Answer:
No solution.
Step-by-step explanation:
What is the length of AC ?
Answer:
there is no enough data to find the answer
PLEASE HELP 20 points
Answer:
2.greatest common factor is 4
3.[tex]x^{2}[/tex]-3x-10
[tex]x^{2}[/tex]-(5-2)x-10
[tex]x^{2}[/tex]-5x+2x-10
x(x-5)+2(x-5)
(x+2)(x-5)
Step-by-step explanation:
Answer:
2. 4
3. (x+2)(x−5)
Step-by-step explanation:
Question One.
Factor 8x+12
8x+12
4(2x+3)
Question Two.
Factor [tex]x^{2}[/tex]−3x−10
The middle number is -3 and the last number is -10.
Factoring means we want something like:
(x+_)(x+_)
We need to figure out which numbers go in the blanks.
You will need two numbers. They need to...
Add together to get -3.
Multiply together to get -10.
2+-5=-3
2·-5=-10
Fill in the blanks.
(x+2)(x-5)
Answer:
(x+2)(x−5)
HELP! i only have 5 minutes to turn it in if you already did it im on 50 percent give me all answers this is 5th grade
The net of a solid figure is shown below:
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?
A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches
Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
Shelly bought 53.6 gallons of orange juice and used 18.3 gallons of it to make popsicles how much orange juice dose shelly have left
yo help me please if u can’t see please zoom in i need help asap
Answer:
96
Step-by-step explanation:
once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.
Tonia contributes 5% of her paycheck to her 401(k) plan in order to save for her retirement, and she pays state income tax at a rate of 5% on the rest of her paycheck. If p represents Tonia's paycheck and t represents the amount she pays in state income tax, which of these equations represents this Situation? А t = 0.0025p t = 0.025p С 1 = 0.0475p D 1 = 0.475p
Answer:
t = 0.0475p
Step-by-step explanation:
If
p = paycheck ; t = amount paid in state income tax
Amount contributed towards retirement :
5% of p ; 0.05p
Amount left :
Paycheck - contribution
p - 0.05p = 0.95p
Amount paid in state income tax :
5% of amount left
5% of 0.95p
5/100 * 0.95p
0.05 * 0.95p
= 0.0475p
Hence, state income tax, t = 0.0475p
Find the missing factor. Write your answer in
exponential form.
Answer:
2^-9
Step-by-step explanation:
Help me with this please
Answer:
10
Step-by-step explanation:
6-3=3 then power of 2 which is 9 then plus 1
Answer:
C
Step-by-step explanation:
Substitute 6 for "x" in (x - 3)² + 1
(6 - 3)² + 1
We now evaluate the expression using PEMDAS
Parenthesis
Exponents
Multiplication and division ( from left to right )
Addition and subtraction ( from left to right )
Step 1: parenthesis
6 - 3 = 3
We would then have (3)² + 1
step 2: exponents
3²=9
we would then have 9 + 1 which = 10
Hence, the answer is C
What is 4x/7 - 2/3
Fraction help
Answer:
2/21 * (6x-7)
Step-by-step explanation:
1/21 * (3*4x - 14)
1/21* (12x-14)
1/21* 2(6x-7)
2*1/21 * (6x-7)
2/21* (6x-7)
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
Pls pls help I don’t understand
Answer:
[tex]Given~quadratic ~function : 1=x^2-6x[/tex]
[tex]here,a=1,b=-6[/tex]
[tex]so, the~numbers~which ~we ~need ~to ~add....[/tex]
➜ [tex](\frac{b}{2} )^2[/tex]
➜ [tex]=(\frac{-6}{2})^2[/tex]
➜[tex]=(-3)^2[/tex]
➜ [tex]=9[/tex]
---------------------
hope it helps...
have a great day!!
Use elimination/linear combination to solve the following.
please help
Answer:
Step-by-step explanation:
3x + 4y = 17
5x - 4y = 7
you can thus cancel out 4y
Hence
8x = 24
Hence x = 3
Substituting’
3(3) + 4y = 17
9 + 4y = 17
Hence 17 - 9/4
= y = 2
Hope this helps