Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{FD}{BA}[/tex] = [tex]\frac{FE}{BC}[/tex] , substitute values
[tex]\frac{x+3}{2x+2}[/tex] = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
what’s the slope_____
Answer:
-4
Step-by-step explanation:
The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).
[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]
Simplify the fraction
[tex]= -4[/tex]
Therefore, the slope of the line is equal to -4.
I hope this helps!
QUESTION: If Z is the incenter of (triangle shape)TUV, find m(triangle shape)ZTV .
x =
m(triangle shape)ZTV = _ degrees
Solution :
It is given that Z is the incenter
So, we get from the figure
[tex]$5x +1= 8x -14$[/tex]
⇒ [tex]$-3x = -15$[/tex]
⇒ x = 5
So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]
We have to find ∠ ZTU.
In Δ UTV,
∠ TUV + ∠ UTV + ∠ TVU = 180°
⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°
⇒ ∠ UTV = 180° - 52° - 42°
= 86°
So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]
[tex]$ = \frac{1}{2} \times 86^\circ$[/tex]
[tex]$=43^\circ$[/tex]
Therefore, m ∠ ZTU = 43°
I really need help
-21a+35
Answer:
-7 (3a - 5)
Step-by-step explanation:
Answer:
[tex] - 7(3a - 5)[/tex]
Step-by-step explanation:
you just have to factor out the common term 7.
If Maria makes $40 each day at her job, and she gets paid $20 for a training course
Answer:
Where is the rest of the question?
Step-by-step explanation:
40x +20
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
ILL GIVE BRAINLIEST FOR FIRST ANSWER HELP
What is the volume of this rectangular prism?
Answer:
The answer is 56 cm^3
Step-by-step explanation:
2 = height
7 = length
4 = width
Formula: LxWxH
2 x 7 x 4 = 56
ayundenme
1) 7 2 − 10 3 − 15 5 −12 2 + 8 3 − 21 4 − 13 5
2) −82 − 213 − 515 −212 + 183 − 74 − 225
3) −82 − 212+1 − 512+2 −212 + 182+1 − 72+2
4) −1.1 2 3 + 2.25 3 4 + 10.1 4 5 1.8 2 3 − 1.2 3 4 − 1.65 4 5
Answer:
I
1)-574 2)-874 3)-902 4)No answer bz have two dismal place
Please help with 3 thank you!
Answer:
Step-by-step explanation:
Please help me........
Answer: i don't know
Step-by-step explanation:
hi i don't know any of this stuff i hope you don't learn anything Bye
please help me with this
Answer:
Y=MX+C is the equations of a straight line where C is the constant (y intercept)
Looking at a and b and the two graphs c and d
The function c represents the lowest value of the y intercept which is at -3
PLS NEED DONE ASAP 10 MINUTES TILL DUE
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other factor, or factors, of the polynomial? A. (21 + 1) (1 - 1) B. (2r2 + 1) OC. (212 - I + 1) OD. (2x - 1)(1 + 1)
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.
Hence, The solution is, (x - 2)(x + 1)(2x -1), is the expression represents the other factor, or factors, of the polynomial.
Know more about Polynomials here:
brainly.com/question/2833285
#SPJ7
B. 13 (x - 10) = -4
Answer: x =
Its a neg #
90% of e is 30. What is e?
Answer:
27
Step-by-step explanation:
Answer:
e = 33.3 (approx. )Step-by-step explanation:
To find out - 'e'
Given,
90 % of e = 30
[tex] = > \frac{90}{100} \times e = 30[/tex]
[tex] = > e = 30 \times \frac{100}{90} [/tex]
[tex] = > e = \frac{100}{3} [/tex]
=> e = 33.3333......
=> e = 33.3 (approx. ) (Ans)
At the student store, pencils are sold in either packs of three or packs of eight.
Without opening any packages, which numbers of pencils is it possible to buy?
Which numbers are impossible?
Answer
4, 7, 5, 10, 13, .......
Step-by-step explanation:
the only numbers that are impossible to get are the non-multiples of 3 and 8
and the numbers that 8 and 3 do not add up to and the multiples of 8 and 3 do not add up to
How do you solve for x and y?
Answer:
x = 100, y = 50
Step-by-step explanation:
Make a system of equations:
First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:
x + y + 30 = 180
x + y = 150
Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:
2y + x/2 + 30 = 180
x/2 + 2y = 150
Now, all you have to do is solve the system of equations.
To start, multiply the second equation by 2 to get rid of the fraction:
x + 4y = 300
Then, you can subtract the two equations:
x + 4y = 300
- (x + y = 150)
3y = 150
divide both sides by 3
y = 50
substitute y = 50 into the equation x + y = 150:
x + 50 = 150
x = 100
I need help with the picture. please
you have to use the order of operations (PEMDAS)
x=3
7+5(3)
MULTIPLACTION FIRST
7+15= 22
so the first was wrong because she added before multiplying
x= 4/5
7+5(4/5)
MULTIPLICATION FIRST
7+4= 11
the second was wrong because she added before multiplying again
What is the y-intercept?
What is the length of AB?
Answer: 6 units
Step-by-step explanation:
I know that in a triangle, there's two angles that have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.
Answer:
AB = 38.64 m
Step-by-step explanation:
[tex] \cos \: 75 \degree = \frac{10}{x} \\ \\ x = \frac{10}{ \cos \: 75 \degree } \\ \\ x = 38.637033052 \\ \\ x \approx \: 38.64[/tex]
AB = 38.64 m
Graph the line through the points (-6,4) and (0,-4)
. What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y S4?
A.(-1, -3)
B.(10, -1)
C.(-4, 6)
D.(-2,-8)
3. Which of the following is not a solution to this system?
Answer:
(-1, -3)
Step-by-step explanation:
What is the ordered pair that satisfies the system 2x - 7y >5 and 3x-y < 4?
Using the coordinate point (-1, 3)
If x = -1 and y = 3
Substitute into the expressions and check if they are true
2x - 7y >5
= 2(-1)-7(-3)
= -2 + 21
= 19
Since 19 is greater than 5, hence the inequality 19 > 5 is true
Substituting into 3x - y < 4
3(-1)-(-3)
= -3 + 3
= 0
Since 0 < 4, hence this is also true for the inequality.
The coordinate point that satisfies the inequality is therefore (-1, -3)
pregón de servicio
kjjj
Answer:
what
Step-by-step explanation:
WILL GIVE BRAINLEST Find the measure of the arc or central angle indicated. Assume that lines which
appear to be diameters are actual diameters.
find the measure of arc FHJ
Answer:
It should be 261 degrees.
Step-by-step explanation:
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
Parallel or perpendicular
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 64
Step-by-step explanation:
step 1. (x^2 + 14x + 49) + 15
step 2. (x + 7)^2 + 15.
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
A rectangular playground is 65m long and 30 m wide. A pathway of 1.5 m width goes all around, outside it. Find the area of the pathway
Answer:
97.5 m^2
Step-by-step explanation:
Given data
Length = 65m
Width= 30m
We are told that the width of the path= 1.5m
Hence the area of the path is
=65*1.5
=97.5 m^2
10 Points<>I need help ASAP!!!
Answer:
Step-by-step explanation:
A and D
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25