Answers
Answer: x = 61 and y = 29
Step-by-step explanation: In this problem, notice that we
have a transversal that intersects two coplanar lines at different points.
Let's start by finding the value of y.
In the diagram, 2y and 58 are corresponding angles and if two
parallel lines are cut by a trans. corr. <'s must be congruent.
So we can setup the equation 2y = 58.
Solving from here, we find that y = 29.
Now, notice that 58 and 2x form a straight angle or a linear pair.
When two angles form a straight angle, they are supplementary.
So we can setup the equation 2x + 58 = 180.
Solving from here, we find that x = 61.
Related Questions
Ms. Chibbaro asked her students to find an expression equivalent to 7 - 3(4 - 2x) - 10x Jon had the work shown to the Left on his paper. One step in Jon's wok is incorrect. Find and explain the error. Then write your own expression equivalent to the one given by Ms. Chibbaro.
Answers
Answer:
[tex]-15 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Expression: 7 - 3(4 - 2x) - 10x[/tex]
Required
Determine Jon's error and make corrections.
Also, give the equivalent of the expression
The question has missing details because Jon's workings is not listed.
One mistake student's make during multiplications that involves minus (-) and plus (+) is in the signs.
So, watch out for the signs to know where the error is.
However, I'll give an equivalent of the given expression
[tex]7 - 3(4 - 2x) - 10x[/tex]
Open Bracket
[tex]7 - 12 + 6x - 10[/tex]
Collect Like Terms
[tex]7 - 12 - 10 + 6x[/tex]
[tex]-15 + 6x[/tex]
Hence, the given expression is equivalent to [tex]-15 + 6x[/tex]
There were 124 people at a concert. Admission was $5 each for adults and $3 each for children. A total of $444 was collected from admissions. How many adults and how many children attended?
Answers
Answer:
The answer is 36 adults and 88 children.
Step-by-step explanation:
The two equations are:
x+y=124 and 5x+3y=444
Using substitution method:
5x+3(124+x)=444
5x+372-3x=444
2x=72
x=36
5(36)+3y=444
180+3y=444
3y=264
y=88
Someone please help me with this
Answers
I’m not sure if this is correct but I hope this helps✨❤️
someone help :( 3333333
Answers
Answer:
5 feet
mark above answer BRILLIANT
given function of f(x) = 2x - 1 and fg(x) = 10x + 3, find the function of g(x)
Answers
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ [tex]\frac{2[g(x)]}{2}[/tex] = [tex]\frac{10x}{2}[/tex] + [tex]\frac{4}{2}[/tex]
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
what is X for this 4x/3-3x+1=10
Answers
Answer:
x = 1
Step-by-step explanation:
(4x/3) - 3x + 1 = 10
(4x/3) -3x = 9
4x - x = 3
3x = 3
x = 1
Evaluate each expression.
7) (-7) + (-10) – 5 +2 8) (-9) + 4 + (-8) – (-7)
8) (-6) – (2 x 4) – (-1) 10) (-8) + (-4 ÷ -4) – 8
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Solving the expressions
7)
given the expression
[tex]\left(-7\right)+\:\left(-10\right)\:-\:5\:+2[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=\left(-7\right)-10-5+2[/tex]
[tex]=-17-5+2[/tex]
[tex]=-22+2[/tex]
[tex]=-20[/tex]
8)
[tex]\left(-9\right)+4+\left(-8\right)-\left(-7\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=-5+\left(-8\right)-\left(-7\right)[/tex]
[tex]=-5-8-\left(-7\right)[/tex]
[tex]=-13-\left(-7\right)[/tex]
[tex]=-13+7[/tex]
[tex]=-6[/tex]
9)
[tex]\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]so
[tex]\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)[/tex]
Calculate within parentheses
[tex]=\left(-6\right)-8-\left(-1\right)[/tex]
[tex]=-14-\left(-1\right)[/tex]
[tex]=-14+1[/tex]
[tex]=-13[/tex]
10)
[tex]\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8[/tex]
solving
[tex]\left(-8\right)+\left(-\frac{4}{-4}\right)-8[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]=-8-\frac{4}{-4}-8[/tex]
[tex]=-8-\left(-1\right)-8[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=-8+1-8[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15[/tex]
[tex]=-15[/tex]
The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
What is BODMAS rule?BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.
7) (-7) + (-10) – 5 +2
here, we will use the BODMAS rule, the addition and subtraction will go from left to right.
= -7 -10 -5 + 2
= -17 -5 + 2
= -22 + 2
= -20
8) (-9) + 4 + (-8) – (-7)
= -9 +4 -8 +7
= -5 -8 +7
= -13 + 7
= -6
9) (-6) – (2 x 4) – (-1)
= -6 - 8 +1
= -12 + 1
= -11
10) (-8) + (-4 ÷ -4) – 8
= -8 -4/ (-4) - 8
= -8 +1 -8
= -7 -8
= -15
Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
Learn more about the BODMAS rule here:
https://brainly.com/question/24383445
Solve: 32 = y + 12.4 y = _____ & explain
Answers
Answer:
y=19.6
Step-by-step explanation:
Answer:
to get y you subtract 12.4 from both side and that is your answer.
Step-by-step explanation:
19.6 hope it correct mark brainliest if so thank u have an nice day
plz answer the question in the screenshot
Answers
please help me pls and ty
Answers
But here are the following:
B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8
Hope this helps!
Factor the polynomial function p(x) = x3 – 2x2 - 4x2 + 8x.
Answers
Answer: p=x2−6x+8
Step-by-step explanation:
hope this answer helps
Answer: x(x-4)(x-2)
Step-by-step explanation:
please help me. my mom got mad at me cause I don't know anything in Pre Cal. (what I am in)
Answers
a. 4^2 + b^2 = 8^2
16 + b^2 = 64
b^2 = 48
Missing term for A = 6.93 m
Now try B for yourself
Mr James has coffee worth $400/kg that he wishes to mix with 20kg of coffee worth $700/kg to get a mixture that can be sold for $500/kg. How many kg of the cheaper coffee beans should he use?
Answers
Answer:
11.3kg
Step-by-step explanation:
if 700=20
therefore 400=400*20÷700=11.3
a pump fills a pool at a constant rate at the end of 9 minutes it has filled 1 gallon of water which table represents the relationship between the number of minutes and the number of gallons of water in the pool
Answers
Answer:
D
Step-by-step explanation:
The rate at which the pool is filled is 1 gallon per 9 minutes. If you divide all the numbers of minutes in the left side of the table with the number of gallons on the right you get 9 minutes per gallon for each of them so they follow the rate.
MAY YOU PLEASE HELP ME!!
Answers
Answer:
D. (4, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
-x + 5y = -4
4x + 3y = 16
Step 2: Rewrite systems
x = 5y + 4
4x + 3y = 16
Step 3: Solve for y
Substitute in x: 4(5y + 4) + 3y = 16Distribute 4: 20y + 16 + 3y = 16Combine like terms: 23y + 16 = 16Subtract 16 on both sides: 23y = 0Divide 23 on both sides: y = 0Step 4: Solve for x
Define: 4x + 3y = 16Substitute in y: 4x + 3(0) = 16Multiply: 4x = 16Isolate x: x = 4And we have our final answer!
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers
=
i
√
5
x
=
i
√
5
,
−
i
√
5
,
−
5
,
5
,
8
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
(-7)(5) =
Answers
Answer:
-35 is the correct answer
Answer:
-35
Step-by-step explanation:
The answer is -35
-7 × 5 = -35
At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are
24 students in the sixth grade class, then how many are making a B or higher?
25%
Are we Looking FOR THE PART OR THE WHOLE?
Answers
Answer:
18 students are making a B or higher
Step-by-step explanation:
24 * 75% = 18
Answer:
we are looking for the part
looking for an answer ty
18 / (-3) + 4
Answers
Answer:
-2
Step-by-step explanation:
First divide 18/-3 = -6
Then add 4 to -6
Answer is -2
There are 4 consecutive odd integers that have a sum of 248. What is the greatest of these integers?
Answers
Answer:
63.5
Step-by-step explanation:
248/4=62
the numbers are
60.5, 61.5, 62.5, 63.5
Which equation represents a line which is perpendicular to the line y = 6/7x –4?
Answers
Answer:
any line with the same slope but different y intercept
Step-by-step explanation:
Answer:
7x+6y=18
Step-by-step explanation:
A table showing Number, Value, and Total Value. The first row shows Pennies, with the entries, p, 0.01, and 0.01 p. The second row shows Nickels, with the entries, 22 minus p, 0.05, and 0.05 left parenthesis 22 minus p right-parenthesis. 0.01p + 0.05(22 – p) = 0.54 Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. How many of each type of coin does Ari have? pennies and nickels
Answers
14 pennies and 8 nickles
i hope this helps
Answer:
0.01p + 0.05(22 – p) = 0.54
I'll give brainlyiest to whoever answers right first.
There is a line that includes the point (1, 7)and has a slope of 7. What is its equation in slope-intercept form?
Answers
Answer:
y=7x
Step-by-step explanation:
When finding the slope intercept form using 2 points, we do the following.
y=mx+b (Slope intercept from)
y=7x+b (7 is slope)
Substitute the point
7=7(1)+b
7=7+b
b=0
y=7x
The slope intercept equation is y = 7x
Solve the right triangle shown in the figure. (Round your answers to two decimal places.)
Answers
Answer:
Step-by-step explanation:
sin A = [tex]\frac{a}{c}[/tex]
sin 9.4° = [tex]\frac{20.5}{c}[/tex] ⇒ c = (20.5) / (sin 9.4°) ≈ 125.52
tan A = [tex]\frac{a}{b}[/tex]
tan 9.4° = [tex]\frac{20.5}{b}[/tex] ⇒ b = (20.5) / (tan9.4°) ≈ 123.83
m∠B = 90° - 9.4° = 80.6°
m∠C = 90°
what is..
y=4/3x-2 and y=-2/3x-8
Answers
Write two number that multiply to the value on to and add to the value on bottom
Answers
18 points help me fast please
Answers
p=m+x² (make x the subject)
Answers
Answer:
See below
Step-by-step explanation:
[tex]p = m + {x}^{2} \\ \\ p - m = {x}^{2} \\ \\ {x}^{2} = p - m \\ \\ x = \pm \sqrt{p - m} \\ [/tex]
Find three consecutive integers such
that the sum of the first and the
second integer is three more than the
third integer.
Answers
9514 1404 393
Answer:
4, 5, 6
Step-by-step explanation:
Let x represent the middle one. Then the sum of the first two is ...
(x -1) +x
And we want that to be 3 more than the third:
(x -1) +x = (x +1) +3
2x = x +5 . . . . . . . . . add 1, simplify
x = 5 . . . . . . . . . . . . . subtract x
Since 5 is the middle integer, the three integers are ...
4, 5, 6
The figures are similar. Find the missing length.
Answers
6/4.5 = x/6