Question 23) Triangle PQR Triangle XYZ
PQ = 3a + 4 and XY = 5a - 12. Find a and PQ.
Answers
the way I solved the problem is attached. hope this helped.
The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Triangle PQR ≅ Triangle XYZ
Now,
Since, Triangle PQR ≅ Triangle XYZ
So, we get;
Measure of PQ = Measure of XY
Substitute the given values of sides, we get;
Measure of PQ = Measure of XY
⇒ 3a + 4 = 5a - 12
Solve for a as;
⇒ 3a + 4 = 5a - 12
⇒ 3a - 5a = - 12 - 4
⇒ - 2a = - 16
⇒ 2a = 16
⇒ a = 8
Hence, Measure of PQ = 3a + 4
= 3 × 8 + 4
= 24 + 4
= 28
Thus, The value of 'a' will be 8.
And, The value of side PQ will be 28 units.
Learn more about the triangle visit:
https://brainly.com/question/1058720
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Related Questions
Determine the answer to (−5) + 4 and explain the steps using a number line.
Answers
Answer:
-1
Step-by-step explanation:
when adding on a number line you always go to the right.
-5+4=-1 , so you would move 4 places to the right on the number line.
-5+4
-1
is the correct answer
Adam has game and education apps on his tablet. He noticed that he has 4 game apps for every 3 education apps. Which of the following is another way to write this ratio?
1) 1:3
2) 3:4
3) 4:3
4) 7:3
Answers
Answer: 4:3
Step-by-step explanation: Because there are 4 game app for every 3 educational app.
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Answers
Answer:
$16???
Step-by-step explanation:
Because each pizza costs $6 and each topping costs $2 each and they want 5 toppings so you want to multiply 5 X 2 and get 10 then add the 6 therefore the answer is 16!!..
Answer:
$16
Step-by-step explanation:
what is the cost of 1 pound of potatoes? Enter the answer in the box.
Answers
You are working hard at the local grocery store each weekend. You have decided to put your money in a compound interest bearing account earning 4% per year. How many years would you estimate that it would take for you to double your money
Answers
Answer:
The answer would be 18 years
Step-by-step explanation:
hope this helps:)
Write as a single power
(-5)(-5)(-5)(-5)
Answers
Answer:
-5^4
Step-by-step explanation:
I hope this helped.
I need help! With this problem
Answers
Answer:
1.) 5^7 2.) 4^a+b 3.) a^c+d
Step-by-step explanation:
If the exponents are number, you can add the numbers together. Do not add the base numbers. ( Ex: 3 + 4 = 7 )(problem 1)
If the exponents are variables, indicate that you are adding the variables by putting an addition sign between the letters.
A DESPRITE CRY FOR HELP!!!!
Answers
Answer:
43,51, 86
Step-by-step explanation:
The sum of the angles of a triangle are 180
x+ x+8+2x = 180
Combine like terms
4x+8 = 180
Subtract 8 from each side
4x+8-8= 180-8
4x= 172
Divide each side by 4
4x/4 = 172/4
x=43
x+8 = 43+8 = 51
2x = 43*2 = 86
I got you, bro!
Answer:
x = 43
The angle measures of the triangle, in order from least to greatest, are 43, 51, and 86.
Step-by-step explanation:
4x + 8 = 180
Subtract 8 from both sides.
4x = 172
Divide.
x = 43
Of the total runs made by Indian team during a cricket match Sachin scored 44% and dhoni scored 39% if Sachin scored 30 runs more than Dhoni find the score of indian team
Answers
Answer:
difference in percentage = 44-39=5%
difference in number =30
let total number of run by team be x
5% 0f x= 30
0r 5x = 3000
x= 300/5 = 600
Step-by-step explanation:
Find the value of x.
(2x + 4)
(3x + 1)
Answers
Answer: x= 17°
Step-by-step explanation:
The interior angle of a triangle adds up to 180 degrees. It indicates that it is a right triangle so it already has a 90 degree angle and if you add it to the two other angles they have to equal 180 degrees.
(2x + 4 ) ( 3x + 1) + 90 = 180
5x + 95 = 180
-95 -95
5x = 85
x = 17
busco novia lesbiana mi inta es Arianaprince1
Answers
Answer:
Step-by-step explanation:
Ok que bueno sigue tu sueño amiga
Which one of these numbers is in the solution set of x - 12= 3? Apex
A. -9
B. 9
C. 15
D. 4
Answers
Answer:
c.15
Step-by-step explanation:
x-12=3
-12+12
3+12
x=15
the coordinate of point T are (6,12). The midpoint of ST is (3,-8). Find he coordinates of point S. the other endpoint is?
Answers
Answer:
(0, -28)
Step-by-step explanation:
Midpoint coordinates are equal to average of the value of endpoint coordinates.
One of End points is T (6,12), the other one is S (x, y) and the midpoint is (2, -8)
So midpoint formula applied to both coordinates:
3 = (6+x)/2 ⇒ 6 = 6+ x ⇒ x = 6 - 6 ⇒ x = 0-8 = (12 + y)/2 ⇒ -16 = 12 + y ⇒ y = -16 - 12 ⇒ y = - 28Point S has coordinates of (0, -28)
Simplify the expression 3(2x - y) + 2(4x + y).
Answers
14x-y
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{14x - y}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{3(2x - y) + 2(4x + y)}[/tex]
Distribute 3 through the parentheses
Similarly , distribute 2 through the parentheses
[tex] \dashrightarrow{ \sf{6x - 3y + 8x + 2y}}[/tex]
Combine like terms and simplify
[tex] \dashrightarrow{ \sf{6x + 8x - 3y + 2y}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{14x - y}}}[/tex]
Hope I helped!
Best regards! :D
Sandy is upgrading her Internet service. Fast Internet charges $20 for installation and $50.45 per month. Quick Internet has free installation but charges $52.95 per month.
Answers
given the following sequence 3, 7, 11, 15, 19
a) find the 10th term, the 30th term, and the t^th term
b) find the sum for the first 10 terms and the first 30 terms
c) find the number needed of terms needed to have a sum of 15
d) write an algebraic representation for the sum of the first term
Answers
Answer:
Find it out yourself dude
Step-by-step explanation:
Solve this please, and quick
Answers
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
Answer:
3.2
Step-by-step explanation:
7x + 12 + 9x = 7
16x + 12 = 7
- 12 -12
16x = -5
16 divided by -5 is 3.2
x = 3.2
Gabriella expects to earn $50 in tips during her shift as a waitress today. In addition to tips, she earns $8.00 an hour. If she wants to make at least $114 today, how many hours must she work at a minimum? hours
Answers
Answer:
2 hours
(50 $ + 8 $) x 2 = 116
116 > 114
Graph the equation
y = 4(x - 2)? - 6
Pro
Pio
9
Te
7
6
5
4
3
2
2
9.7.6.5.423.2
-3
-6
Do 4 problems
Donate
volunteer
Answers
Answer:
omg here is the answer
Step-by-step explanation:
what is the DOMAIN of the graph
Answers
Answer:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, Because {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.
Combine the terms in the following expressions.
a. 10x-4x
Answers
Answer:
6x
Step-by-step explanation:
Step 1:
10x - 4x
Answer:
6x
Hope This Helps :)
Last night, Olivia spent 125 hours on her math homework, then 45 minutes on her science homework. What is the total time she spent doing her math and science homework?
Answers
Answer: she spent 126 hours on her math and science homework together
Step-by-step explanation: because i rounded.
Did you misspell it? or did she legit spend 125 HOURS not minutes because if its minutes the answer would be 2hrs 50 min if not it would be 5 days 5hrs and 45 min
Find the distance between (-5,3) and (2,-1).
Answers
Answer:
distance = sqrt( 65 ) ~= 8.06
Step-by-step explanation:
To find the distance between two points, we can use the distance formula.
distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)
distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)
distance = sqrt( [-7]^2 + [4]^2)
distance = sqrt( 49 + 16 )
distance = sqrt( 65 ) ~= 8.06
Cheers.
Answer: d=8.06
Step-by-step explanation:
To this the distance between two points, you would need the distance formula.
Distance Formula: [tex]d=\sqrt{(x_{2}-x_{1} )^2+(y_{2} -y_{1} )^2}[/tex]
Since we have two given points, all we have to do is plug them in.
[tex]d=\sqrt{(2-(-5) )^2+(-1 -3 )^2}[/tex] [parentheses]
[tex]d=\sqrt{(7)^2+(-4 )^2}[/tex] [exponent]
[tex]d=\sqrt{49+16}[/tex] [add]
[tex]d=\sqrt{65}[/tex] [square root]
[tex]d=8.06[/tex]
Now we know that the distance is d=8.06.
a box of cereal states that there are 72 calories in a 3/4 cup serving. What is the unit rate for calories per cup? how many calories are in a 2 cups of cereal
Answers
Answer:
96 and 192 calories
Step-by-step explanation:
Given
72 calories in a 3/4 cupDivide both by 3/4 to find the unit rate:
72:3/4 in 3/4:3/496 calories in 1 cupThen multiply both by 2 to get the calories for 2 cups:
96*2 = 192 caloriesfor what value of x does f(x)= -2
Answers
Answer:
-5
Step-by-step explanation:
F(x) = y
When y= -2
x= -5
One day Freya eats 12 ice creams
in 6 hours and the second day she
eats 14 ice creams in 7 hours. How
many ice creams does Freya eat
per hour?
Answers
Answer:
she ate 2 ice creams per hour
Step-by-step explanation:
12 ice creams divided by 6 hours: 12/6 =2
14 ice creams divided by 7 hours: 14/7= 2
Hope this helps!
Have a good rest of day!
Make sure you ate today
f(x) = 4x - 2
g(x) = 3x - 1
find (f - g) (2)
Answers
Answer:
Step-by-step explanation:
4x - 2 - 3x + 1 = x - 1 is the solution
Tier: Homework 1
Solve 2(4y - 5) = 14 983
Answers
Answer:
y = 1874.25
Step-by-step explanation:
2(4y - 5) = 14 983
2*4y + 2*-5 = 14983
8y - 10 = 14983
8y = 14983 + 10
8y = 14993
y = 14993/8
y = 1874.25
Answer:
Step-by-step explanation:
2(4y - 5) = 14
8y - 10 = 14
8y = 24
y = 3
30 points if you answer
Answers
4R-9=35
4R=44
R=11
If c(x)=x-2 what is the value of x if c(x)=3.5
Answers
Answer:
5.5 = x
Step-by-step explanation:
c(x)=x-2
3.5 = x-2
Add 2 to each side
3.5+2=x-2+2
5.5 = x