Work Shown:
Use the angle bisector theorem
15/(x+2) = 20/(14-(x+2))
15/(x+2) = 20/(-x+12)
15(-x+12) = 20(x+2) .... cross multiply
-15x+180 = 20x+40
180-40 = 20x+15x
140 = 35x
35x = 140
x = 140/35
x = 4 .... answer is choice A
Answer:
4
Step-by-step explanation:
cos^-1(15/20)=41.40962212
41.40962212/2=20.70481106
tan(20.70481106)x15=5.669467097
5.669467097-2=3.669467097
3.669467097 round up
4
Please help I’ll give brainliest if you explain.
Answer:
B
Step-by-step explanation:
there are four girls in total, and Martina is most probably a girl too. only 1 girl out of the four girls will be chosen so probability is 1/4
Find the distance between the two points in simplest radical form.
(7,-1) and (3,8)
Answer:
Submit Answer
attempt 1 ou
Answer:
sqrt( 97)
Step-by-step explanation:
To find the distance between 2 points
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
= sqrt( (3-7)^2 + (8 - -1)^2)
= sqrt( ( -4)^2 + (8+1)^2)
= sqrt( 16+9^2)
= sqrt(16+81)
= sqrt( 97)
Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.
Answer:
39.4 or 40 % depending on which place you round it to
Step-by-step explanation:
18 * 1.10= 19.8
(19.8 - 12) / 19.8 = 0.39393939...
so 39.4 or 40 % depending on which place you round it to
What is the slope of the line ?
Answer:
B. -2
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
-2
1
= -2
θ =
arctan( ΔY ) + 360°
ΔX
= 296.56505117708°
ΔX = 3 – 0 = 3
ΔY = -2 – 4 = -6
Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994
Answer from Gauth math
Answer:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.
HELP ME PLS I NEED TO GET THIS DONE TONIGHT AND IM STRESSING ITS PYTHAGOREAN THEOREM
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.
A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?
y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723
Answer:
y = -26.059x + 722.63
Step-by-step explanation:
The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.
How to illustrate the equation?It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.
To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.
Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.
In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.
Learn more about equations on:
https://brainly.com/question/13763238
#SPJ2
a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?
hi
it a cube so it's height,length and width are the same.
if volume is 112 so one if this measure is : 112^(1÷3) =4,82
N tells about in a math question
Answer:
N means Natural Number in Maths
Step-by-step explanation:
N=natural,Z=integer,R=real number
Aug 10,9:55:10 AM
Find the length of the third side. If necessary, round to the nearest tenth.
16
10
Submit Answer
Answer:
attempt 1 out of 2
Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.
Answer:
4% = 0.04
4000 = 0.04
6 years = 0.04
Step-by-step explanation:
Hope this helps!
PLEASE HELP ME ASAP!!
Answer:
(0.5, 0.5)
Step-by-step explanation:
Use the midpoint formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
The points are:
A(-2, 4)C(3, -3)[tex](\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})[/tex]
Therefore, the midpoint between A and C is located at (0.5, 0.5).
plz give me fast answer
Help anyone can help me do this question,I will mark brainlest.
Answer:
1) x=6, 2) x=13
Step-by-step explanation:
In right triangle ABC, the measure of A is 25° and AB = 1. What is the length of AC?
(1) 0.9063
(2) 0.4226
(3) 0.2500
(4) 0.2778
Three-eighths of the teachers at Naran's school are math teachers, and 30 of the teachers are not math teachers.
How many teachers are there at Naran's school??
Answer:
48 teachers
Step-by-step explanation:
Here's two solutions:
Solution 1: Build an equation.
Let $T$ be the number of teachers. The number of math teachers is $\frac{3}{8}T$, and the number of non-math teachers is $30$. Since each teacher is either a math teacher or not a math teacher, we have
$$\frac{3}{8}T + 30 = T.$$Multiplying each side of this equation by $8$ gives us
$$3T + 240 = 8T.$$Subtracting $3T$ from each side gives us $240 = 5T$, and dividing both sides by $5$ gives us $48=T$. Therefore, there are $48$ teachers at Naran's school.
Solution 2: Think proportionally.
Since three-eighths of the teachers are math teachers, the other five-eighths are not math teachers. So, these $30$ non-math teachers are five-eighths of the total number of teachers. Therefore, $\dfrac{30}{5} = 6$ teachers are one-eighth of the total. So, there are $6\cdot 8 = \boxed{48}$ teachers in all.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
d
Step-by-step explanation:
Answer:
D
because the least popular thing that was sell at the bake sale is the corn muffins
hope this helps!!!
Find the area of the triangle with sides 40, 50, and 60.
a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units
Ron Caruso works as an insurance agent
and receives a commission of 40% of the
first year's premium. Find Ron's
commission for selling a life insurance
policy with a first-year premium of
$1,050.
Answer: $420
Step-by-step explanation:
40% of 1st year commission
1st year commission is $1050
40% x 1050 = .40 x 1050 = 420
$420
Find the scale factor where the pre-image is the small triangle and the image is the large triangle.
Answer:
D
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to pre image
scale factor = [tex]\frac{18}{14}[/tex] = [tex]\frac{9}{7}[/tex] → D
Find tan 0 if sin 0 = 1/2
is in the second quadrant.
sin O = 1/2 = p/h
p=1, h = 2.
by pythagoras tgeorem,
b =
[tex] \sqrt{3} [/tex]
tan0= p/b
[tex]1 \div \sqrt{3} [/tex]
Which greatest digit should replace m so that the number 10m6415 is divisible by 11
Answer:
Step-by-step explanation:
Sum of digits of rank even - sum of digits of rank odd must be a multiple of 11
(5+4+m+1)-(1+6+0)=11*k
10+m-7=11*k
3+m=11*k
m=8
Proof: 1086415/11=98765
hello! HELP NEEEDED!!!!!!!!!!!
Answer:
$2.50
Step-by-step explanation:
Sally pays 2.5 lbs of chuck for 6.25. We need to convert this to 1 pound, to see how much money it take to equal 1 pound .
Set up proportion.
[tex] \frac{1}{x} = \frac{2.5}{6.25} [/tex]
[tex]2.5 x = 6.25[/tex]
[tex]x = 2.5[/tex]
it takes 2 dollar and 50 cents for 1 lb of ground chuck
Answer:
$2.50
Step-by-step explanation:
In my theory, I suppose that the key word to look at is "per"in the question above. All you need to do is to is to divide $6.25 with 2 1/2 lb
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "<=" for < or ">" for >.
Can anyone pls help ?
Given:
The graph of a linear inequality.
The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.
To find:
The inequality for the given graph.
Solution:
The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]
[tex]y+2=\dfrac{1+2}{1}(x)[/tex]
[tex]y+2=3x[/tex]
Subtract 2 from both sides.
[tex]y=3x-2[/tex]
The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].
[tex]y\geq 3x-2[/tex]
Therefore, the required inequality is [tex]y\geq 3x-2[/tex].
Answer:
y>3x-2
Step-by-step explanation:
.............................
Correct answer gets 5 stars and brainliest
Answer:
12
Step-by-step explanation:
Since this is a right triangle ,we can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + 5^2 = 13^2
a^2 +25 = 169
Subtract 25 from each side
a^2 = 169-25
a^2 = 144
Taking the square root of each side
sqrt(a^2) =sqrt(144)
a = 12
HE:LPPP
5 divided by -3
Answer:
-5/3
Step-by-step explanation:
5 ➗ -3
=> 5/-3
=> -5/3 or -1.66667
5 divided by -3=1.666666666666667
HEEEEEEEEEEELLLLLLLLLLPPPPPPP!!!!!!!!! QUICK!!!!!!
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
Thank you!!
Answer:
To find a translation image of a shape, you can use the following rule or formula. Suppose you want to translate or slide point P a units horizontally and b units vertically. Then, change the x-values and y-values of the coordinates of P. The points of the triangle of are A(-3, 1), B(-4, 3), and C(-2, 4).
Identify the slope and y-intercept: y = -x + 13 y help mee please
Answer:
slope : -1, y-intercept : 13
Step-by-step explanation:
-x = -1 times x
+13 = 13 = y-intercept
Answer:
This equation is in slope intercept form, y=mx+b, where m is the slope and b is the y intercept.
So, the slope is -1 and the y intercept is 13.
Hope this helps!
What is the image point of ( – 7,-2) after a translation left 5 units and down 4
uits?
Submit Answer
PLS HELP ASAP
Answer:
(-12,-6)
Step-by-step explanation:
A translation 5 units to the left (x-5)
And 4 units down ( y-4)
(-7-5, -2-4)
(-12,-6)
Please answer this and simplify
Answer:
volume = x(x+2)(2x+1) = 2x^3+5x^2+2x
a = 2
b = 3
c = 5
d = 2
e = 2
f = 1
The area of a square=121m² what is the value of S?
Answer:
11 m
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
121 = s^2
Take the square root of each side
sqrt(121) = sqrt(s^2)
11 = s