Answers
- #4 -
y = 12
[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other
8x - 61 = 6x - 13
8x - 48 = 6x
-48 = -2x
24 = x
[] Then, we will plug it into one of the angles (with x) and solve:
8x - 61
8(24) - 61
192 - 61 = 131
[] Last, these are supplementary angles so we can add them together and set it equal to 180:
131 + 3y + 1 = 180
132 + 2y = 180
2y = 48
y = 12
- #6 -
y = 22
[] First we will solve for x. These angles are vertial angles, so we can do the following:
9x + 42 = 15x
42 = 6x
7 = x -> x = 7
[] Then, we will plug it into one of the angles (with x) and solve:
15x = 15(7) = 105
[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:
4y - 13 + 105 = 180
4y + 92 = 180
4y = 88
y = 22
- #7 -
y = 9
[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:
x + 21 + 3x + 11 = 180
4x + 32 = 180
4x = 148
x = 37
[] Then, we will plug it into one of the angles (with x) and solve:
3x + 11 = 3(37) + 11 = 111 + 11 = 122
[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:
122 = 14y - 4
126 = 14y
9 = y
- See attached for where I pulled numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Related Questions
SOMEONE HELP ME ON THIS!!
Answers
Answer:
a) 8 ,18 year old students took part in the survey
b) 10
Quadrilateral T'R'A'M os rotated °S -goo about the origin.
Answers
Answer:
ang hirap naman plss answee
Which of the following questions can use science as a method of inquiry?
A. How many of hours of homework should be assigned each night?
B. At what age should a person be able to drive?
C. Why does a cork float in water?
D. Should pitbulls be allowed to live in cities?
Answers
Answer:
c
Step-by-step explanation:
Can U solve it
plz explain fully !
Answers
Answer:
(9 ^ 3) x 0.04 (4/99)
Step-by-step explanation:
This seems overwhelming, but after simplifying, it will look much easier
Numerator (First Row)
First, we will combine like terms and simplify the top row
(9 ^ x + 1) x 8 - (9 ^ x - 1) x 81
(9 ^ x + 1) - (9 ^ x - 1) x (8 x 81)
(9 ^ 2x) x 648
Denominator (Second Row)
Next, we can combine like terms and simplify the second row
(9 ^ x) x 66 - (9 ^ x - 2) x 243
(9 ^ x) - (9 ^ x - 2) x (66 x 243)
(9 ^ 2x + 2) x 16,038
Simplify
Our expression is now
(9 ^ 2x) x 648
(9 ^ 2x + 2) x 16,038
We can simplify it as
(9 ^ 3) x 0.04 (4/99)
Help me please this is due in 3 hour's
Answers
What is the most precise and accurate definition of perpendicular lines?
A. two lines in a plane with opposite reciprocal slopes
B. two lines in a plane with opposite slopes
C. two lines in a plane with reciprocal slopes
D. two lines in a plane with the same slope
Answers
Answer:
A. two lines in a plane with opposite reciprocal slopes
Step-by-step explanation:
Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.
Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property
Answers
From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
What is the Addition Property of Equality?The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.
In step 3, we have the following equation:
-8x - 42 = -22
Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.
Thus:-8x - 42 + 42 = -22 + 42
-8x = 20
Therefore, from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
Learn more about addition property of equality on:
https://brainly.com/question/1542520
The price of 40L petrol is £24, find the price of each litre.
Answers
Answer:
I will help you with this
In a bag, the ratio of red to blue counters is 3:4.
If 3 red counters are removed the ratio of red to blue counters becomes 3:5.
How many blue counters are there in the bag?
Answers
(r-3)/b = 3/5
5(r-3) = 3b
5(2/3 b - 3) = 3b
Just solve for b
A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
the perimeter of the sector.
Answers
Answer:
Approximately [tex]68.5\; \rm mm[/tex].
Step-by-step explanation:
Convert the angle of this sector to radians:
[tex]\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}[/tex].
The formula [tex]s = r\, \theta[/tex] relates the arc length [tex]s[/tex] of a sector of angle [tex]\theta[/tex] (in radians) to the radius [tex]r[/tex] of this sector.
In this question, it is given that the arc length of this sector is [tex]s = 36\; \rm mm[/tex]. It was found that [tex]\theta = 2.22[/tex] radians. Rearrange the equation [tex]s = r\, \theta[/tex] to find the radius [tex]r[/tex] of this sector:
[tex]\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}[/tex].
The perimeter of this sector would be:
[tex]\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}[/tex].
Im just straight up confused. And dont leave a link
Answers
Answer:
The bottom left graph is a function
Step-by-step explanation:
I was pretty confused at first with this, too. To find if a graph is a function, however, just preform the vertical line test! Basically, draw a vertical line on each graph. At any point does it go through two or more points? Well, its not a function. We can see a vertical line would completly overlap the first graph, it would go through the half circle graph twice, and the circle? Well, that ones rather obvious...
With this test, we can see the only graph that passes the vertical line test is the bottom left graph (or the weird squiggly one)!
Hope this helps for future function solving!
How do I find the inverse?
Answers
g(x) as given has no inverse because there are instances of two x values giving the same value of g(x). For instance,
x = -1 ⇒ g(-1) = 4 (-1 + 3)² - 8 = 8
x = -5 ⇒ g(-5) = 4 (-5 + 3)² - 8 = 8
Only a one-to-one function can have an inverse. g(x) is not one-to-one.
However, if we restrict the domain of g(x), we can find an inverse over that domain. Let [tex]g^{-1}(x)[/tex] be the inverse of g(x). Then by definition of inverse function,
[tex]g\left(g^{-1}(x)\right) = 4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
Solve for the inverse:
[tex]4 \left(g^{-1}(x) + 3\right)^2 - 8 = x[/tex]
[tex]4 \left(g^{-1}(x) + 3\right)^2 = x + 8[/tex]
[tex]\left(g^{-1}(x) + 3\right)^2 = \dfrac{x + 8}4[/tex]
[tex]\sqrt{\left(g^{-1}(x) + 3\right)^2} = \sqrt{\dfrac{x + 8}4}[/tex]
[tex]\left| g^{-1}(x) + 3 \right| = \dfrac{\sqrt{x+8}}2[/tex]
Recall the definition of absolute value:
[tex]|x| = \begin{cases}x & \text{if }x\ge0\\-x&\text{if }x<0\end{cases}[/tex]
This means there are two possible solutions for the inverse of g(x) :
• if [tex]g^{-1}(x) + 3 \ge 0[/tex], then
[tex]g^{-1}(x) + 3 = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
• otherwise, if [tex]g^{-1}(x)+3<0[/tex], then
[tex]-\left(g^{-1}(x) + 3\right) = \dfrac{\sqrt{x+8}}2 \implies g^{-1}(x) = -3-\dfrac{\sqrt{x+8}}2[/tex]
Which we choose as the inverse depends on how we restrict the domain of g(x). For example:
Remember that the inverse must satisfy
[tex]g\left(g^{-1}(x)\right) = x[/tex]
In the first case above, [tex]g^{-1}(x) + 3 \ge 0[/tex], or [tex]g^{-1}(x) \ge -3[/tex]. This suggests that we could restrict the domain of g(x) to be [tex]x \ge -3[/tex].
Then as long as [tex]x \ge -3[/tex], the inverse is
[tex]g^{-1}(x) = -3+\dfrac{\sqrt{x+8}}2[/tex]
Classify the following triangle as acute, obtuse, or right.
Answers
D. None of these.
Equilateral is the only triangle that has all the sides that are equal to each other. Hope this helped you :)
Option D . None of these is the correct answer.
Which is not equivalent to 3/5
Answers
Answer: d.
15/24 is not an equivalent fraction of 3/5.
Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575
Answers
Explanation
250x4=1000
1000 divided by 8 = 125
1 ream = 250 papers
=> 4 reams = 250 x 4=> 4 reams = 1000 papers.1 booklet = 8 papers
=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Solve this math problem. Correct answer gets brainliest.
Answers
Answer:
$28.50
Step-by-step explanation:
21 ÷ 14 = 1.5
19 · 1.5 = 28.50
Hope this helps!!
In a school day each student has to participate either in music or sport . Out of 350 students of the school 250 participated in sports and 145 in music then,
a. How many students have participated in both activities?
b. How many of them have participated in one activity only?
c. Represent the above information in a Venn Diagram.
Answers
Answer:
a. 45
b. 305
(left side) just sports, (middle) amount that did both, (right side) kids that just did music
Step-by-step explanation:
a. 250 + 145 = 395 395-350 = 45
b. 350-45= 305
ope this helps :)
will mark brainly
Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
Answers
As x approaches infinity, we see that y also approaches infinity. This means that the 5th option with the two sentences stating this is correct.
Hope this helps x
What is the probability of picking an 8 and then picking a number greater than 6?
Answers
Justin ate 9 out of the last 15 pretzels. What fraction of the pretzels was left ? Write the fraction in simplest form.
Answers
Explanation:
15 - 9 = 6
6/15 (the remainder) is reduced to 2/5.
Can someone please help me with this easy math problem?
Answers
Answer:
K(w)=P(w)
150 - 15w = 180 - 20w
Collect like terms
-15w + 20w = 180 - 150
5w = 30
w = 30/5
w = 6
Therefore, w = 6 weeks
Help me please 13x55x10
Answers
look at screenshot to see question
Answers
Solve the system of equations - 2x + 2y = 2 and - x + 3y = –17 by
combining the equations.
Answers
Answer:
x=-10, y=-9. (-10, -9).
Step-by-step explanation:
-2x+2y=2
-x+3y=-17
----------------
-2x+2y=2
-2(-x+3y)=-2(-17)
-------------------------
-2x+2y=2
2x-6y=34
----------------
-4y=36
y=36/-4
y=-9
-x+3(-9)=-17
-x-27=-17
-x=-17+27
-x=10
x=-10
(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.
Answers
Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5
Which of the following is a solution of x2 + 2x + 4?
Answers
Answer:8x
Step-by-step explanation:
2++2=4 add x up 4 = 8x
Do you mean 2x for the first term or x^2? If the first term is 2X then the solution would be 4x+4. If the first term is not 2x but x^2 instead, then there is no solution for it
first middel schooler to answer gets brainlest what is 124x6?
Answers
Answer:
744
Step-by-step explanation:
(b) Part B
How many solutions does the following the system of equations have?
Answers
Answer:
Its C.
Step-by-step explanation
:Took the test
How do I find the function of a graph given?
Answers
Answer:
Explanation
Step-by-step explanation:
Well, to find a function of a given graph, you would need m, its slope, and b, its y-intercept. After you've done that, place the function in the format of f(x) or y = mx + b.
Find the slope using the formula y2-y1/x2-x1 or rise/run
Find the y-intercept by looking for the point that touched with the y-axis.
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answers
Answer:
9
Step-by-step explanation:
The equation for a slope is y=mx+b, b being the y-intercept. Then, you can plug in the equation given and have 9 as your answer.
Answer:
the y intercept is 0
Step-by-step explanation:
i used a slope to help me find the y-intercept