Find the value of x.
A pair of intersecting lines is shown. The angle above the point of intersection is labeled left parenthesis 7 x minus 8 right parenthesis degrees. The angle directly opposite below the point of intersection is labeled left parenthesis 6 x plus 11 right parenthesis degrees.
A. –19
B. 125
C. 19
D. 55
Answers
The value of x is 19. Therefore, option C is the correct answer.
From the given figure, the two angles are (7x-8)° and (6x+11)°.
What is the vertical angle theorem?Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.
Now, (7x-8)° = (6x+11)° (Vertically opposite angles are equal)
⇒ 7x-6x = 11+8
⇒ x = 19°
The value of x is 19. Therefore, option C is the correct answer.
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Related Questions
what is the constant for -9x^3+12p+6
Answers
A constant is any numbers in an equation that don't have any variable connected to it.
-9x^3 and 12p are not constants since they are connected to variables.
6 is a constant because its not connected to any variable.
Best of Luck!
What is 3X to the second power plus 4X -3+ negative 4X to the second power minus 2X -4 in polynomial form
Answers
Answer:
The polynomial form of the expression is: 25·X² + 2·X + 2.
Step-by-step explanation:
The expression that can be formed using the provided data is:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
Simplify the expression to get a result in polynomial form as follows:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
[tex]=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2[/tex]
Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.
please someone help me to prove this...
Answers
Answer: see proof below
Step-by-step explanation:
Use the following Power Reducing Identities:
[tex]\cos^2 A = \dfrac{1}{2}(1 + \cos 2A)\\\\\sin^2 A = \dfrac{1}{2}(1 - \cos 2A)[/tex]
Use the following Product to Sum Identity:
[tex]\cos A\cdot \cos B=\dfrac{1}{2}\bigg[\cos(A+B)+\cos(A-B)\bigg][/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \cos^2\beta\cdot \sin^4\beta\\.\qquad \qquad \qquad =\cos^2\beta\cdot \sin^2\beta\cdot \sin^2 \beta[/tex]
[tex]\text{Power Reducing:}\qquad \dfrac{1}{2}\bigg(1+\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\dfrac{1}{2}\bigg(1-\cos 2\beta\bigg)\\\\\\.\qquad \qquad \qquad \quad =\dfrac{1}{8}(1+\cos 2\beta)(1-\cos 2\beta)(1-\cos 2\beta)[/tex]
[tex]\text{Expand:}\qquad \qquad \dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^3 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{8}\bigg(1-\cos 2\beta-\cos^2 2\beta+\cos^2 2\beta \cdot \cos \2\beta\bigg)[/tex]
[tex]\text{Power Reducing:}\qquad \dfrac{1}{8}\bigg(1-\cos 2\beta -\dfrac{1}{2}(1+\cos 4\beta)+\dfrac{1}{2}(1+\cos 4\beta)\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(2-2\cos 2\beta -1-\cos 4\beta +\cos 2\beta +\cos 4\beta \cdot \cos 2\beta \bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta+\cos 4\beta \cdot \cos 2\beta \bigg)[/tex]
[tex]\text{Product to Sum:}\quad \dfrac{1}{16}\bigg(1-\cos 2\beta -\cos 4\beta +\dfrac{1}{2}[\cos(4\beta+2\beta)+\cos (4\beta-2\beta)]\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(2-2\cos 2\beta -2\cos 4\beta +\cos 6\beta +\cos 2\beta\bigg)\\\\.\qquad \qquad \qquad =\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)[/tex]
[tex]\text{LHS=RHS:}\\ \dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)=\dfrac{1}{32}\bigg(\cos 6\beta-2\cos 4\beta -\cos 2\beta +2 \bigg)[/tex]
Solve for a. 2z=4a/m +3
Answers
Answer:
a = (2mz - 3m)/4Step-by-step explanation:
2z = 4a/m +3
-3 -3
2z - 3 = 4a/m
×m ×m
(2z -3)m = 4a
÷4 ÷4
[(2z -3)m]/4 = a
a = (2mz - 3m)/4
3. Given: a+b=12 and ab=9
Use (a + b)2 to find a² +bº. (Do not solve for a and b individually)
Answers
Answer:
a²+b²=126
Step-by-step explanation:
(a+b)²=a²+b²+2ab
(12)²=a²+b²+2×9
144=a²+b²+18
a²+b²=144-18=126
The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 46.0 acre-ft of water.
Answers
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
-5 - 1 =
please help me and it isnt -4
Answers
Answer:
the answer is -6
Step-by-step explanation:
if you have -5 and you take away another number, you end up with -6
Answer:
-6
Step-by-step explanation:
-5 - 1 ISNT -4
-5 + 1 IS -4
i need help finding the range
Answers
Answer:
I think it's -1, 4. But i'm not a 100% sure.
Step-by-step explanation:
Answer:
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Step-by-step explanation:
This is how you solve for Range; I can't view the image on my chromebook.
x+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
Answers
a
a
from both sides of the equation.
x=3/4-a and that’s your answer
Point N is between M and R. If MN = 25 in, and NR = 12 in, then what is the length of MR?
Answers
25 + 12 = 37. Make sure to add the word units on the end if it’s not multiple choice.
Find sets of three consecutive odd integers whose sum is between 100 and 115
Answers
Answer:
33, 35, 37
Step-by-step explanation:
Consecutive: in a row
Odd: any number not evenly divisible by 2
Integers: Whole numbers
Sum: the answer to an addition problem
So, 100 is close to 30*3, so start there and move on. It has to be a little more, so start at 31, 33, and 35, but it's only 99, so you need something a little more. Check 33, 35, and 37 to be sure, and you've got your answer!
Dose every positive real number
also have both a positive and negative cube root?
Answers
Answer:
Any real number will have only one real cube root. Hence the technicalities associated with the principal root do not apply.
Step-by-step explanation:
36. Find the circumference of a circle with a radius of 8 kilometers. Use 3.14 or for T.
37.Find the area of a circle with a diameter of 26 inches. Use 3.14 or for T.
Answers
Answer:
36. 58.34
37. 530.66
Step-by-step explanation:
36. 2x3.14x8=7.28x8=58.34
so 36=58.34
37.
3.14x26/2=3.14x13x13=530.66
please brainly
HELP WILL GIVE BRAILEST AND WILL GIVE 50 POINTS!!!!! (also please tell me how you did it!) Simplify and Solve: 12x + 8 < 116
Answers
Answer:
Step-by-step explanation:
1. isolate the variable subtract both sides by 8 (12x+8-8<116-8)
2. Divide both sides by twelve (12x/12<116-8/12)
3. Simplify (x<108/12)
4. Answer (x<9)
=12x+8−8<116−8
=12x<108
Step 2: Divide both sides by 12.[tex] \frac{12x}{12} < \frac{108}{12} [/tex]
Answerx<9
in geometry why do we use 3.14 rather than 3.14159??
Answers
Answer:
3.14 is the simplified version (approximate) to π
If the cost, C, for manufacturing x units of a certain product is given by C=x2+10x+45, find the number of units manufactured at a cost of $ 10,020.
Answers
Answer: 95 units.
Step-by-step explanation:
The cost of making x units is:
C(x) = x^2 + 10*x + 45.
Now, if the cost is $10,020, then we can solve this for x as:
C(x) = 10,020 = x^2 + 10*x + 45
x^2 + 10*x + 45 - 10,020 = 0
x^2 + 10*x - 9,975 = 0
Now, remember that for a quadratic equation:
a*x^2 + b*x + c = 0
the solutions are:
[tex]x = \frac{-b +-\sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In this case the solutions are:
x = [tex]x = \frac{-10 +-\sqrt{10^2 - 4*1*(-9,975)} }{2*1} = \frac{-10 +- 200}{2}[/tex]
Then we have two solutions, one for each sign:
x = (-10 -200)/2 = -110
x = (-10 + 200)/2 = 95
Here we must choose the positive option, as x represents a positive quaintity.
Then the number of units manufactured is 95.
5/8-(1/4) to the 2 power
Answers
Answer:
0.5625
Step-by-step explanation:
Select the correct answer.
Which graph represents the solution to this inequality?
-(127 + 8) < -21 + 11
OA. tt
-17
-15
-13
-11
-9
7
-5
+
-17
- 15
- 13
-11
-9
-7
-5
Oc.
+
-17
- 15
-13
- 11
-9
7
-5
C
-17
-15 -13
-11
-9
-7
-5
Answers
Answer:
C
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
Can someone please help to explain this?
Answers
Answer:
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
Step-by-step explanation:
Given
Δ PQR ~ Δ DEF
Then the ratio of corresponding sides are equal
The corresponding letters in the names of the triangles gives the corresponding sides.
Thus PQ/DE, QR/EF, PQ/DF
In this case
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
If m 8 =22, m 7=31, and m EAD=102 find m 9
Answers
S is the answer
Step-by-step explanation:
Let 3+4+8+9+13+14+18+___ 40 terms=S
what should be added m(m-n) to get square ofm(m-n)
Answers
Answer: m²-mn
Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.
please answer this quick
I need help
Answers
Answer:
No, it is not a magic square.
Step-by-step explanation:
A magic square is when whatever way you add it from, it is always the same answer (the magic sum). As you can clearly tell, it doesn't add up to the same number.
Mr. Green's lawn mower holds 600 milliliters of gasoline in the tank. He just filled his 6 liter gas can at the station. How many times will he be able to fill his lawn mower tank from the gas can?
Answers
Answer:
10 times.
Step-by-step explanation:
Since 1 liter = 1000 milliliters, we can say that 600 milliliters is equal to 0.6 liters because 600/1000 = 0.6
Since the gas can holds 6 liters, and the lawn mower holds 0.6 liters, 6/0.6 = 10.
So, he can fill his lawn mower 10 times with the gas can
Mr Green can fill his lawn 10 times
the first step is to convert the milliliters to liters
600 milliliters to liters
= 600/1000
= 0.6 liters
the number of times can be calculated as follows
= 6/0.6
= 10
hence it will take Mr. Green 10 times to fill his lawn mower
please see the link below for more information
https://brainly.com/question/632986?referrer=searchResults
what is 3,393 divided by 13
Answers
Answer:
261
I hope this helps!
The world's largest ocean, the Pacific ocean, has an area of about 200,000,000 km^(2) , which can be written as 2 x 10 ^(n) km^(2). What is n?
Answers
Answer:
n = 8
Step-by-step explanation:
:)
What is 4/q as a decimal
Answers
Answer:
what is the value of q?
Step-by-step explanation:
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answers
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
unit rate 232 miles in 4 hours
Answers
Answer:
58 miles per hour
Step-by-step explanation:
leave a heart please :D
If it takes 10 seconds to hear thunder when lightning is 4 miles away, determine how far away the lightning is when it takes 6 seconds to hear the thunder. miles
Answers
Answer:
2.4 miles.
Step-by-step explanation:
10sec = 4 miles.......what abt.....
6 sec = ??
cross multiply:
6sec × 4miles ÷ 10 sec= 2.4miles
A farmland is 30cm long and 15cm wild what is the area of the farmland