Answer:
[tex]PQR = 140[/tex]
Step-by-step explanation:
Given
[tex]XYZ = 2X[/tex]
[tex]PQR = 8X - 20[/tex]
Required
Find PQR
Since both angles are supplementary, we have:
[tex]XYZ + PQR = 180[/tex]
This gives:
[tex]2X + 8X - 20 = 180[/tex]
[tex]10X - 20 = 180[/tex]
Collect Like Terms
[tex]10X = 20 + 180[/tex]
[tex]10X = 200[/tex]
Divide through by 10
[tex]X = 20[/tex]
Substitute 20 for X in [tex]PQR = 8X - 20[/tex]
[tex]PQR = 8 * 20 -20[/tex]
[tex]PQR = 140[/tex]
f(x) = 3x + 2 and g(x) = 4 – 5x
Answer:
-2x +6
Step-by-step explanation:
[tex]f(x)=3x+2,\:\\g(x)=4-5x\\\\f(x) +g(x) =\\3x+2+\left(4-5x\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x+2+4-5x\\\\\mathrm{Group\:like\:terms}\\=3x-5x+2+4\\\\\mathrm{Add\:similar\:elements:}\:3x-5x=-2x\\=-2x+2+4\\\\\mathrm{Add\:the\:numbers:}\:2+4=6\\=-2x+6[/tex]
Solve for x in the equation: 5x +14 = 2x - 4
Someone help
Answer:
x = -6
Step-by-step explanation:
5x +14 = 2x - 4
Subtract 2x from each side
5x-2x +14 = 2x-2x - 4
3x +14 = -4
Subtract 14 from each side
3x+14-14 = -4-14
3x = -18
Divide each side by 3
3x/3 = -18/3
x = -6
Answer:
x = -6
Step-by-step explanation:
5x+ 14 = 2x - 4
-2x -2x
3x+14= -4
-14 -14
3x = -18
3x/3 = -18/3
x = -6
PLEASE HELP 30 POINTS EASY
Answer
Step-by-step explanation:
Let's solve for z.
a(t+z)=45z+67
Step 1: Add -45z to both sides.
at+az+−45z=45z+67+−45z
at+az−45z=67
Step 2: Add -at to both sides.
at+az−45z+−at=67+−at
az−45z=−at+67
Step 3: Factor out variable z.
z(a−45)=−at+67
what is 987 rounded to the nearest tenth? plzzzzz help
Answer:
990 that's the answer .
Answer:
990
Step-by-step explanation:
x - 4 = 9
Can someone please help me
Answer:
13!
Step-by-step explanation:
add 14 both sides you should add up to 13 from 9 + 4 and then 13 divided by 1
Solve the system of equations.
5x – 7y = 58
y = -x + 2
5x-7y=58
y=-x+2
5x-7(-x+2)=585x+7x-14=5812x-14=5812x=58+1412x=72x=65x-7y=58
5(6)-7y=58
30-7y=58
-7y=58-30
-7y=28
y= -4
Answer:
x = 6, y = -4
Step-by-step explanation:
Khan Academy
need help asap !!!!!!!!
Answer:with what I could help
Step-by-step explanation:
AE, DBG and CF are parallel. DA = DB = DC. Angle EAB = angle BCF = 38° what is x
angle DBC = 38° ( Alternate Interior Angles )
angle ABD = 38° ( Alternate Interior Angles )
2 (angle ADC) = angle ABC
or, 2 (angle ADC) = 38° + 38°
or, 2 (angle ADC) = 76°
or, angle ADC = 76/2 = 38°
Answer:x = 38°
10 – 2(2x + 2) > 14
Help meeee
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
Distribute the -2 to 2x and 2.
3. Simplify the left side: 6-4x>14
Do 10-4
4. Subtract: -4x>8
Subtract 6 from both sides to get x by itself
5. Divide: x< -[tex]\frac{8}{4}[/tex]
You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Hello! :)
−4x + 6 > 14 Simplify both sides
−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides
−4x > 8
-4x/-4 > 8/-4 Divide both sides by -4
x < -2 (ANSWER)
Hope this helped you!
THEDIPER
Please help, I'm really confused with these two questions ):
Step-by-step explanation:
The die is rigged, so "not 3" is not a possibility. Ruling out those branches of the tree, there are 4 possible outcomes, one of which is the desired outcome. So the probability is 1/4.
A fair die has six sides that are equally likely, so the probability of rolling more than 2 is always 4/6. The outcome of the first roll does not effect the outcome of the second roll.
janel makes bracelets. she uses 48 beads for each bracelet she makes a d has 600 beads. how many braclets can she make
Janel can make 12 bracelets. The quotient of 12 and remainder of 24 means that Janel can make 12 bracelets but does not have enough beads for 13 bracelets.
Hope it helps
lovelymoonlight
Janel can make total of 12 bracelets.
DivisionWhat is division?One of the four fundamental operations, along with addition, subtraction, and multiplication, is division. A number is split in the straightforward action of division.
Relation of dividend, divisor, quotient and remainder:The following dividend formula can be used to find the dividend if the values of the divisor, quotient, and remainder are provided.
Dividend = Divisor x Quotient + Remainder
Calculation for the number of bracelets:Janel has total number of beads = 600.
Beads required to make one bracelet = 48.
To calculate the number of beads divide total number of beads by 48.
Beads = 600/48
Quotient comes out as 12 and remained comes out as 24.
Therefore, the total number of bracelets can made is 12.
After completion of 12 bracelets 24 beads will left.
To know more about quotient of a number and it's a reciprocal, here
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2(w-9)=5w+6+w i need help on this question?
Answer:
w=-6
Step-by-step explanation:
2(w-9)=5w+6+w
multiply 2 to the (w-9), also add the 5w to the other w
2w-18=6w+6
subtract 2w to 6w
-18=4w+6
subtract 6 to -18
-24=4w
divide 4 to -24
THE ANSWER IS -6
The variable y varies directly with the variable x.
y
2
3
10
15
If the value of x is 14, what is the value of y?
if the value of X is 14 then the value of y is 21
On Friday, the temperature was 82°F. The temperature changed by –2°F on Saturday, and then it changed by 5°F on Sunday. What was the temperature on Sunday?
Answer:
85°F
Step-by-step explanation:
On Friday, the temperature was 82°F.
+ 82
The temperature changed by –2°F on Saturday,
+ -2
and then it changed by 5°F on Sunday.
+ 5
82 + -2 + 5
82 + -2 = 80
80 + 5 = 85
is 8.33865… rational
Answer:
no, 8.33865... is not rational
Step-by-step explanation:
it's an irrational number
5x-6y=4 (Slope intercept form)
Answer:
y = 5x/6 + -2/3
Step-by-step explanation:
To put this equation into slope intercept form, we simply need to solve for the y variable like so:
5x - 6y = 4
-6y = 4 - 5x
y = (4/-6) + (-5x / -6)
y = 5x/6 + -2/3
Cheers.
Answer:
y = 0.83x -0.66
3[7x - 4(x - 3)] + 1
Answer:
9x+37
Step-by-step explanation:
Answer:
9x + 37
Step-by-step explanation:
3[7x - 4(x - 3)] + 1
3[7x-4x+12] + 1
3[3x +12] +1
9x + 36 +1
9x + 37
Taylor needs to know if 0.775 is a rational number. Which of the following is the first step Taylor should try?
Multiply 0.775 by 100 to get 77.5
Subtract 0.775 from 77.5
Write 0.775 as
Divide 1,000 by 775
Answer:
im pretty positive its divide 1,000 by 775, correct me if im wrong.
Answer: It is A multiply .775 by 100 to get 77.5
Step-by-step explanation:
Find the distance between points (1, 5) and (3, 0) to the nearest tenth. !!
Answer:
The answer is
5.39 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1, 5) and (3, 0)
The distance between them is
[tex]d = \sqrt{( {1 - 3})^{2} + ({5 - 0})^{2} } \\ = \sqrt{ ({ - 2})^{2} + {5}^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \\ = 5.38516 \: [/tex]
We have the final answer as
5.39 units to the nearest tenthHope this helps you
Help me plz I don't get it !!!!!!!!
Answer:
B. 3
Step-by-step explanation:
The constant of proportionality is 3 because every week, the tree grows 3 more inches at a constant rate. The increase amount doesn't change. It's constantly growing by 3 inches.
I hope this helps!
Simplify the complex fraction 1/6 / 1 3/8
Hey there!☺
[tex]Answer:\boxed{\frac{4}{33}}[/tex]
[tex]Explanation:[/tex]
[tex]\frac{1}{6}/1\frac{3}{8}[/tex]
Let's divide both fractions.
[tex]\frac{1}{6}1/\frac{3}{8}=\frac{4}{33}[/tex]
[tex]\frac{4}{33}[/tex] is our final answer.
Hope this helps!
While shopping, Kyla found a dress that she would like to purchase, but it costs $52.25 more than she has. Kyla charges $5.50 an hour for babysitting. She wants to figure out how many hours she must babysit to earn $52.25 to buy the dress. Kyla needs to work ________ hours to earn $52.25.
PLEASE HELP ITZ URGENTOO!!!!
what is the solution set to the following system of inequalities:
-7x+2y>6
4x+7y≤-7
WHAT IS THE SOLUTION SET THAT FALLS INTO THE FEASIBLE REGION!?
PLS HELPP
Answer: The solution set of the system of inequalities is the region above the dashed line (y=-2x-2) and below the solid line (y=x+4).
Please, see the attached graph.
Thanks.
what’s the answer choice?
Answer:
0.3 or 3/10
Step-by-step explanation:
a/b = -1/4 / -5/6
=> -1/4 * -6/5
=> 6/20
=> 3/10 in simplest form.
Hope this helps, Please put me as brainliest!!
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
Answer:
267.94
Step-by-step explanation:
V=4/3(pi)r^2
V=4/3(3.14)8^2
V=4/3(3.14)64
V=4/3(200.96)
V=267.94
Answer:
2144.7 m^3
Step-by-step explanation:
A baby elephant named Nora was born at a wildlife refuge and weighed 200 lbs when she was
born and gained 22 lbs every week. In preparation for her birth, the staff estimated how much
she would weigh at certain weeks so they could stock some of her food ahead of time. They
documented that at 16 weeks she would weigh approximately 352 lbs. Did they estimate
correctly? If so, explain why. If not, describe what they did wrong and find her accurate weight.
Answer:
352 lbs is correct
Step-by-step explanation:
They did estimate correctly. for how to do this look below:
So we have a elephant that gains 22 pounds every week and they estimated that at 16 week she would be at 352 lbs
22 which was current pounds at the time and she would keep gaining that every week for 16 weeks
So weight times weeks
22*16
22*16= 352
Hope this helps!
pleez help meeeeeeeeeeeeeeeeeee
Answer:
i believe its A and D hope this helps:)
Step-by-step explanation:
Question 8
A science club rents a bus for a trip to a state park. The bus rental is
$350, and admission to the park is $8 per person. The cost of the bus
rental will be shared equally. Write an expression that can be used to
determine the cost of the trip for each club member.
Let m be the number of club members.
Since they will share the $350 cost of the bus equally, then each member pays 350/m dollars for their share of the bus cost.
The admission is $8 per person, so the total cost per person is;
[tex]\frac{350}{m} +8[/tex]
At its highest point, the elevation of a country is 5,762 feet above sea level. At its lowest point, the elevation of the country is 8 feet below sea level. Answer parts a through c
Answer:
Step-by-step explanation:
5,762 - (-8)
The total difference between the highest point and the lowest point of the country is given as 5, 770 feet.
Given that,
At its highest point, the elevation of a country is 5,762 feet above sea level. At its lowest point, the elevation of the country is 8 feet below sea level.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Highest point = 5,762
The lowest point below the sea level = -8 feet
Total difference in the point = 5762 - (-8) = 5770 feet
Thus, the total difference between the highest point and the lowest point of the country is given as 5, 770 feet.
Learn more about simplification here:
https://brainly.com/question/12501526
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Given: ∠ABC ≅ ∠DEF and ∠GHI ≅ ∠DEF Prove: m∠ABC = m∠GHI We are given that angle ABC and are congruent, and that angle GHI and angle DEF are congruent. By the , the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to .
1. Angle DEF
2. Definition of congruent angles
3. The measure of angle GHI
Answer:
We are given that angle ABC and ✔ angle DEF are congruent, and that angle GHI and angle DEF are congruent. By the ✔ definition of congruent angles, the measure of angle ABC is equal to the measure of angle DEF, and the measure of angle GHI is equal to the measure of angle DEF. By the substitution property, the measure of angle ABC is equal to ✔ the measure of angle GHI.
Step-by-step explanation: