Answer:
x = 110
y = 40
Step-by-step explanation:
m∡5 = 30° because it forms a linear pair with ∡6, which is 150°
x + y = 150 (angles 4 and 6 are alternate-interior and are congruent)
angles 3 and 6 are same-side interior and are supplementary
therefore: x -2y = 180-150
if x + y = 150 we can say that x = 150 - y
we can plug '150-y' for 'x' in x - 2y = 30
150-y - 2y = 30
-3y = -120
y = 40
x = 110
Which is the function
Answer:
I believe the correct answer would either be B or D.
Step-by-step explanation:
I'm not 100% certain but I have doe similar questions so I'm quite sure.
What is the measure of angle x?
1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)
Answer:
No Solution
Step-by-step explanation:
2(x - 5) = 2(x - 3)
2x -10 = 2x -6 When we subtract 2x from both sides we are left with a false statement.
-10 [tex]\neq[/tex] -6
Thus, no solution.
what is another way to represent the expression- f + (0.50 x f)?
A) 1.5f
B) 150f
C) f + 1.5
D) f + 150
Hiiioooo! Can someone please help me out with this question ❤️
Answer:
3.5
Step-by-step explanation:
:)
Write an equation for expense (blue line)
I would really appreciate if someone helped me I'm not understanding this.
Answer: y = 0.0005x+1
This is the same as saying y = (1/2000)x + 1
===============================================================
Explanation:
The blue line goes through (0,1) and (2000,2)
The slope is
m = (y2-y1)/(x2-x1)
m = (2-1)/(2000-0)
m = 1/2000
This says that each time we move up 1, we move to the right 2000 units.
Think of it as slope = rise/run = 1/2000
The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.
The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.
The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.
-------------------
Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1
We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.
Area of a square is 196 cm²
. Find the perimeter of the square. (ii) If the square is altered into a rectangle by increasing the length by x
centimeters, and decreasing the breadth by y centimeters, find the area of
the rectangle in terms of x and y.
Step-by-step explanation:
Area of Square=side²
Side=√(Area of the square)
Given area of the square=196cm²
Side of the square=√196=14cm
Perimeter of square=4*side=4*14=56cm
Length of the rectangle=(14+x)cm
Breadth of the rectangle=(14-y)cm
Area of rectangle=Length*Breadth=
(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²
PLS PLS PLS HELP ME THIS IS LATE
Step-by-step explanation:
a + 9 = 6
p + 20 = -30
will mark brainlest if correct! pls help
Answer:
See below.
Step-by-step explanation:
[tex] y_2 = 4x^2 [/tex]
[tex] x = 1 [/tex]
[tex] y_2 = 4(1)^2 = 4 = a [/tex]
a = 4
[tex] y_3 = 4^x [/tex]
[tex] x = 1 [/tex]
[tex] y_3 = 4^1 = 4 = b [/tex]
b = 4
[tex] y_1 = 4x [/tex]
[tex] x = 2 [/tex]
[tex] y_1 = 4(2) = 8 = c [/tex]
c = 8
[tex] y_3 = 4^x [/tex]
[tex] x = 2 [/tex]
[tex] y_3 = 4^2 = 16 = d [/tex]
d = 16
[tex] y_1 = 4x [/tex]
[tex] x = 3 [/tex]
[tex] y_1 = 4(3) = 12 = e [/tex]
e = 12
[tex] y_2 = 4x^2 [/tex]
[tex] x = 3 [/tex]
[tex] y_2 = 4(3)^2 = 36 = f [/tex]
f = 36
[tex] y_3 = 4^x [/tex]
[tex] x = 3 [/tex]
[tex] y_3 = 4^3 = 64 = g [/tex]
g = 64
URGENT !!!!!!! Please answer correctly !!!!!!!!!!!! Will be marking Brianliest !!
Answer:
A=79.2[tex]in^{2}[/tex]
Step-by-step explanation:
A=a+b/2*h
A=5.4+14.4/2*8
A=19.8/2*8
A=9.9*8
A=79.2
Johnson wants to buy something for himself. He has a budget of $105 to spend on $25 t-shirts, $10 cd's, and $5 books. He wants to buy 10 items and wants to buy as many books as t-shirts and cd's combined. How many of each item should he buy?
Explain please!
Answer:
2 t-shirts, 3 cd's, 5 books.
Step-by-step explanation: Johnson wants to spend $105 in total, get 10 items total, and get at least 1 t-shirt, 1 cd, and 1 book. If he did not want to buy 10 items then he could buy 21 books, 10 cd's and 1 book, or 4 t-shirts and 1 book. But because of all the conditions Johnson should buy 2 t-shirts ($50), 3 cd's ($30), and 5 books ($25). $105 total, and as much of each item as possible.
The diagram shows triangle ABC. Calculate the length of AC
Given:
In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.
To find:
The length of AC.
Solution:
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
Using Law of Sines, we get
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]
[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]
[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]
[tex]C\approx 36.86^\circ[/tex]
Using angle sum property, we get
[tex]\angle A+\angle B+\angle C=180^\circ[/tex]
[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]
[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]
[tex] \angle B =62.14^\circ [/tex]
Now,
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]
[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]
[tex]b\approx 12.08[/tex]
Therefore, the length of AC is 12.08 cm.
all expressions equivalent to 3.1y+ (y+10) + 4.2y
Answer:
8.3y + 10
Step-by-step explanation:
2 + 2 = ?
This is for easy points!
for the table below, what is the range?
Answer:
second option
Step-by-step explanation:
mark me brainliest pls
what to numbers add to -7 and multiply to -12
Answer:
Not any whole numbers!
Step-by-step explanation:
Given: 2x^2+ 32x + 16 = 0
Step 1: x^2+ 16x +8=0
Step x^2+ 16x = -8
Write numbers in each box to correctly complete the square In Step 3.
Step 3: x^2+ 16x +
Answer:
Step 3: x² + 6x + 64 = -8 + 64
Step-by-step explanation:
At step 3 add 64 on both sides to complete the square.
so x² + 6x = -8
becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.
continuing from there, we get
x² + 6x + 64 = 56
we then use a² + 2ab + b² = (a + b)² on the left side to get
(x + 8)² = 56 (solve the equation for x)
by taking the root on both sides
√(x + 8)² = √56
x + 8 = +- 2√14 (separate the equations
x + 8 = 2√14
x + 8 = -2√14
Solving for x
x = 2√14 - 8 or x = -2√14 - 8
The equation shown has an unknown number.
Blank divided by 3/7 = 7/15
Enter a fraction that makes the equation true
Answer:
45/49
Step-by-step explanation:
There are 60 children in a club.
In the club, the ratio of the number of girls to the number of boys is
3
:
1
3
5
of the girls play a musical instrument.
4
5
of the boys play a musical instrument.
What fraction of the 60 children play a musical instrument?
Answer:
13/20
Step-by-step explanation:
hope this worked!! god bless!!!
Factor the expression.
7x+42
Answer:
7(x+6)
Step-by-step explanation:
hope it helps :)
TJ averages being the imposter 2 times every 5 games of Among Us. How many games does he have to play to be the imposter ones?
Answer:
10
Step-by-step explanation:
What is the measure of the missing angle
Answer:
41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let x be the missing angle, then sum the angles and equate to 180°, that is
87° + 52° + x = 180°
139° + x = 180° ( subtract 139° from both sides )
x = 41°
When does the arrow hit the ground?
From what height is the arrow shot?
Answer:
The arrow hits the ground after 2.25 seconds
the height the arrow is shot from is (0,18) or 18 units up
Step-by-step explanation:
list the sides of the triangle in order from smallest to largest
Answer:
p,q,r
Step-by-step explanation:
Hey guys I need ur help with math.
Please help
Yesterday 1/8 of the books were sold at the bookstore were science fiction books.which decimal is equivalent to this fraction of books sold.
Answer:
1/8 in decimal form is 0.125
A teacher randomly selects students to write the date on the board each day. If there are 12 boys and 9 girls in the teacher’s class, what is the probability the teacher chooses a girl to write the date on the board?
1 over 12
1 ninth
3 sevenths
3 forth
Answer:
c wich is sevenths
Step-by-step explanation:
The probability the teacher that chooses a girl to write the date on the board is :
C) 3 sevenths.
"Probability"
Given:
Boys =12
Girls =9
Total number of students = 12 + 9 = 25.
So the probability of choosing a girl is = n(girl) / n(all students) = [tex]\frac{9}{25}[/tex]
This is close to 3 sevenths.
Learn more about probability:
https://brainly.com/question/25870256
What is 6x + 8y = 60 and 3x - 4y = -18
(2/3) to the 3rd power] plus [(3/4) to the zero power]
Answer:
1-8/27
Step-by-step explanation:
[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]
[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)
[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]
We cannot simplify, so 1-8/27 is our answer.
Hope this helps. Have a nice day.
NEED ASAP!!!
Find the area of the composite figure.
Answer:200 I think
Step-by-step explanation: