Answer:
[tex] m\angle EFG =43\degree[/tex]
Step-by-step explanation:
[tex] m\angle EFG +m\angle GFH = m\angle EFH\\\\
(3x-20)\degree + (3x+5)\degree =111\degree \\\\
(3x-20+3x +5)\degree =111\degree \\\\
(6x-15)\degree =111\degree \\\\
(6x-15) =111 \\\\
6x = 111 + 15\\\\
6x = 126\\\\
x = \frac{126}{6}\\\\
x = 21\\\\
m\angle EFG = (3x-20)\degree\\\\
m\angle EFG = (3\times 21-20)\degree\\\\
m\angle EFG = (63-20)\degree\\\\
m\angle EFG =43\degree\\[/tex]
What is
3 4/10
written in simplest form?
Answer:
The answer is 3 2/5 hope this helps :)
Step-by-step explanation:
Solve the equation. 4d + 2d – 4d + 4 = 3d
Answer:
d = 4
Step-by-step explanation:
1. Simplify both sides of this equation, to start off with.[tex]4d+2d−4d+4=3d
[tex]4d+2d−4d+4=3d[/tex]
[tex]4d+2d+−4d+4=3d[/tex]
2. Combine all the like terms you see here.(4d+2d+−4d)+(4)=
d+4=3d[/tex]
(2d+4=3d)[/tex]
3. Subtract 3d from both sides of this equation.[tex]2d+4−3d=3d−3d[/tex]
[tex] - d + 4 = 0[/tex]
4. Subtract 4 from each sides of the equation.[tex]−d+4−4=0−4[/tex]
[tex] - d = - 4 [/tex]
5. Divide both of the sides by -1.
[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer is d = 4.
One factor of f(x) = x3 − 14x2 + 61x − 84 is (x − 7). What are the zeros of the function?
Answer:
-7
Step-by-step explanation:
Because zero is the x, so x=-7 then it's -7
The zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).
What is a polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
It is given that:
f(x) = x³ − 14x² + 61x − 84
One factor is (x - 7)
The cubic polynomial can be written as:
f(x) = (x - 7)(x² - 8x + 12)
Or
f(x) = (x - 7)(x - 3)(x - 4)
To find the zeroes equate to zero:
f(x) = 0
(x - 7)(x - 3)(x - 4) = 0
x = 7, x = 3, and x = 4
Thus, the zeros of the polynomial function is x = 7, x = 3, and x = 4 if one factor of f(x) = x³ − 14x² + 61x − 84 is (x − 7).
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ2
(Select one) DO,2 of Y is:
(3/2, 1)
(5, 4)
(6, 4)
Answer:
I believe the answer is (6,4)
Step-by-step explanation:
When dialating a shape you have to multiply both coordinates.
In this case we are given the knowledge that the new image will be a dilation of 2 (DO,2)
So we have to multiply the coordinates of y (3,2) by 2 which gives us the answer of (6,4)
Hope this makes sense
SOMEONE HELP ASAP i’ll give brainliest
Answer:
which question is it ??
In the right triangle shown, m∠K =60, and KL=2
How long is JL?
Answer:
Is JI a side then Jl=3 .5
Step-by-step explanation:
F(x)=6x+8 what is f(3)?
Answer:
26
Step-by-step explanation:
6(3) =18 18+8=26
take a look at this question and see if you can figure it out for me lol
Answer:
x=4 is the correct answer:)
Step-by-step explanation:
What is the equation of the line in slope-intercept form that is perpendicular to the line y = -x-2 and passes
through the point (-12, 10)?
O y=-x-6
O y=-x + 6
Oy= x + 26
O y = x + 10
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The given line has a slope of -1, since it is in the form y = mx + b, where m is the slope, and in this case, m = -1.
To find the equation of the line that is perpendicular to this line,
We need to use the fact that the product of the slopes of two perpendicular lines is -1.
Let the slope of the perpendicular line be m'.
Then:
-1 x m' = -1
m' = 1
So the slope of the perpendicular line is 1.
We also know that the perpendicular line passes through the point (-12, 10).
Using the point-slope form of the equation of a line, we have:
y - y(1) = m' (x - x(1))
Substituting m' = 1 and (x(1), y(1)) = (-12, 10),
We get:
y - 10 = 1 (x + 12)
Simplifying this equation gives:
y = x + 22
Thus,
The equation of the line that is perpendicular to y = -x - 2 and passes through the point (-12, 10) is y = x + 22 in slope-intercept form.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
A paper company has 30 boxes of paper ready to ship.
There are 27,000 pieces of paper in the boxes.
If each box has an equal number of pieces of paper, how many pieces of paper are in each box?
Answer:
900
Step-by-step explanation:
[tex]\frac{27000}{30}=900[/tex]
express in standard form 24.12
A 12oz iced tea at a restaurant has 84 calories. How many calories are there in a 18oz iced tea?
126
12=84
6=42
84+42=126
Hope this helps!!! Have an amazing night!!!!
solve the equation pls and ty
Answer: No real solutions.
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Helpppp! 100 POINTS
Answer:
He spent $24
Step-by-step explanation:
it is 24
hope it helps
Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the photo to see more clear)
Answer:
Question 1: Option C: y -6 = 8(x+4) is the correct answer.
Question 2: Option B: y-1=0 is the correct answer.
Step-by-step explanation:
Question 1(In Picture):
Given point is: (-4,6) and
Slope: m = 8
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -6 = 8(x+4)[/tex]
Hence,
Option C: y -6 = 8(x+4) is the correct answer.
Question 2:
Given point is: (3,1) and
Slope: m = 0
The point-slope form of equation of a line is given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope
[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]
Hence,
Option B: y-1=0 is the correct answer.
HELPPPPP!!!! PLZ!!! MATHHH!!!!
Answer:
The egg salad sandwich
Step-by-step explanation:
The cheese sandwich is 1/4 lb for 6 inches. For it to be proportional, the 12 inch would be twice that amount (2/4 or 1/2 lb). But, the actual 12 inch cheese sandwich is 3/4 lbs.
The chicken salad sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch chicken salad sandwich is 7/4 lbs.
The egg salad sandwich is 2/3 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (4/3 lbs). The 12 inch sandwich is 4/3 lbs, so it is proportional.
The vegetable sandwich is 3/4 lbs for 6 inches. For it to be proportional, the 12 inch would be twice that amount (6/4 or 3/2 lbs). But, the actual 12 inch vegetable sandwich is 5/4 lbs.
The equation Y+3=5(x-2)
goes through with point?
(2,-3)
(3,-2)
(-2,3)
(-3,2)
Answer:
(2, -3)
Step-by-step explanation:
Well the equation is y - y1 = m ( x - x1)
-3 = y1
2 = x1
(2, -3)
Answer:
(2,-3)
Step-by-step explanation:
The given equation is in point-slope form. That is,
[tex]y-y1=m(x-x1)[/tex]
[tex]x1[/tex] and [tex]y1[/tex] is a point, while [tex]m[/tex] is the slope.
So, [tex]y1=-3[/tex] and [tex]x1=2[/tex].
The point that this equation passes through is (2,-3).
I hope this helps!
PLEASE HELP
Josue is planning to host a big Thanksgiving Meal Pick Up service to raise money for the local food bank. He will be selling prepared meal boxes that will feed 4-6 people for $60. His friends and several local churches and organizations are happy to help. In fact, some of the food used will be donated to his cause. Unfortunately, his project will not be cost-free. He will need to rent a kitchen for $200 and spend $400 on food to be able to make the meal boxes. Write an equation that models his total profits and define each variable used. How many boxes must he sell to raise at least $10,000 for the food bank?
At the end of a basketball game, Michael’s coach tells him that he scored 25% of all of his team’s points. If Michael scored 16 points, exactly how many points did his team score?
Answer:
25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64
Solve for x
x + 3 = y
Select the correct response
1. X=y/3
2.x= y+3
3.x=y+-3
4.x=3y
Answer:
3. x = y - 3
Step-by-step explanation:
You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.
x + 3 = y
x = y - 3
3. Melanie collects coins from all over the world. She is reorganizing her collection into coins from Europe and coins from other parts of the world. After sorting the coins, she comes to the conclusion that six out of every ten of the coins in her collection come from Europe.
A. Write a ratio for the number of European coins to the total number of coins, the number of non-European coins to the total number of coins, and the number of European coins to the number of non-European coins
Answer:
Step-by-step explanation:
AIiwi
find the missing value so that the line passing through the points has the given slope.
(7, 1) and (x, 4); m = 3/4
Answer: The missing value is 5. x = 5.
Step-by-step explanation:
Plug the values into the equation for slope
(4-1)/(x-1) = 3/4
Simplify
3/(x-1) = 3/4
Since we already know the numerator is 3 and we know the denominator is equal to 4, x-1 must equal 4.
x-1 =5, thus x = 5.
what is the slope of the line through the point (-4,6) and (-3,-1)?
a. -2/1
b. -7/1
c. -1/2
d. -1/7
Answer:
B.) -7/1
Step-by-step explanation:
Finding the slope we use: y2 - y1/x2 - x1
m = -1 - 6/-3 - (-4)
m = -7/-3 + 4
m = -7/1
Number 9.
A recipe to make 3 apple pies requires
9 cups of flour. How many pies can be
made with 15 cups of flour?
pls help ASAP will give brainlist
Answer:
The length of each side of the base must be 6.
Step-by-step explanation:
Total volume = 396
Volume = Length x width x height
We know height = 11
So,
11 x Length x Width = 396
396 / 11 = 36
Length x Width = 36
This is a square prism so all sides of base are equal.
Length = 6
Width = 6
And therefore all the other sides of the base are also 6.
How do I get the fractional form for cos 4π/3?
Answer:
[tex] - \frac{1}{2} [/tex]
Step-by-step explanation:
cos
(
π
+
π
3
)
=
cos
π
⋅
cos
(
π
3
)
−
sin
π
⋅
sin
(
π
3
)
=
(
−
1
)
(
1
2
)
−
(
0
)
(
√
3
2
)
=
−
1
2
HELP PLEASE I NEED HELP RN
Answer:
y = -2
Step-by-step explanation:
To find the answer, we have to input 0 in as the value of x and then solve the equation y = 3x - 2:
y = 3(0) - 2
y = 0 - 2
y = -2
When x is 0, y is -2.
Which is the graph of g(x) = (0.5)x+ 3 – 4?
Answer:
x=2 y=-1...................
Answer:
A
Step-by-step explanation:
HELP PLEASEEE ILL GIVE YOU BRAINLILIST I DONT KNOW PART B :(
Answer:
It is the third one.
Step-by-step explanation:
What is the volume of a container that is 5cm tall by 10cm long and 4cm deep
Answer:
200cm³
Step-by-step explanation:
lenght×width×height=Volume
10cm×4cm×5cm=200cm³