Given:
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ=3a+4[/tex]
[tex]XY=5a-12[/tex]
To find:
The value of a and PQ.
Solution:
We have,
[tex]\Delta PQR\cong \Delta XYZ[/tex]
[tex]PQ\cong XY[/tex] (CPCTC)
So,
[tex]PQ=XY[/tex]
[tex]3a+4=5a-12[/tex]
Isolating variable terms, we get
[tex]3a-5a=-4-12[/tex]
[tex]-2a=-16[/tex]
Divide both sides by -2.
[tex]a=\dfrac{-16}{-2}[/tex]
[tex]a=8[/tex]
Now,
[tex]PQ=3a+4[/tex]
[tex]PQ=3(8)+4[/tex]
[tex]PQ=24+4[/tex]
[tex]PQ=28[/tex]
Therefore, the value of a is 8 and the value of PQ is 28.
4 +14 x 17 x 4 + 3
Orders of operations
Can someone answer these two problems??
9514 1404 393
Answer:
B
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx + b
where the slope is m = -3 and the y-intercept is b = +2.
So, the graph will have a slope of ...
"rise"/"run" = -3 = -3/1
and will cross the y-axis at y=2.
Graphs A and B cross the y-axis in the right place, but only Graph B has a negative "rise" a x increases.
Pls answer both I really need help...
Step-by-step explanation:
the correct answer is in there
Answer:
A. Jim did not simplify the (4-2)^2 which is the first step.
B.
5-3(4-2)^2 = 5-3(4)
5-12=-7
Step-by-step explanation:
Hopefully this helps. Got some help from math-way lol
Not every straight line will pass the vertical line test. What is the only type of straight line that would fail the vertical line test?
Answer:
Gfdyuihgff hibhhiuuuuyyygfxf. Hugfti. Hffty9
Answer:
vertical line
Step-by-step explanation:
solve by the method of elimination 2xy=3;3x+y_7
please answer me
meeeeeee
Answer:
x = 2 and y = 1
Step-by-step explanation:
Given equations are :
2x-y=3 ...(1)
3x+y=7 ...(2)
Add equation (1) and (2) as follows :
2x-y + 3x+y = 3 + 7
2x + 3x = 10
5x = 10
x = 2
Put the value of x in equation (1)
2(2)-y=3
4-y = 3
y = 4-3
y = 1
Hence, the solution of the given equations are (2,1).
Amy and Ben share £21 between them in the ratio 5 : 2. How much does Amy get?
(Im really sorry I just don't understand ratio.)
Answer:
✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]
Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.
✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]
☪ [tex] \underline{ \sf{Solution}} : [/tex]
£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.
Then , According to the question , [tex] \text{5x +2x = 21}[/tex]
Solve for x :
⇝ [tex] \sf{7x = 21}[/tex]
⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]
⇝ [tex] \sf{x = 3}[/tex]
The value of x is 3. Now , substitute the value of x in 5x :
Amy received £ 5x = 5 × 3 = £ 15 .
☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ♡
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Hey ! I’m trying to find the slope. If you could help me that’ll be great thank you !!
Answers that might be:
A. 2/3
B. 1
C. 0
D. -1
Answer:
The answer is B. 1
Step-by-step explanation:
rise over run
1/1=1
Answer:
I'm pretty sure it's B. 1
Step-by-step explanation:
Because I got 2 points where the line crosses and I made a triangle joining the points
Then I did the change in y/change in x
and so I did 2/2 and got 1
hopefully that's right :)
Write as a power of 10. How did you do it? a) 100 b) 10 000 c) 100 000 d) 10 e) 1000 f) 1 000 000
Answer: ↓↓↓
Step-by-step explanation:
a.) 100 - 10^2
b.) 10,000 - 10^4
c.) 100,000 - 10^5
d.) 10 - 10^1
e.) 1000 - 10^3
f.) 1,000,000 - 10^6
What I do personally is that I count the number of zeros in the number and that is how many powers the ten powers to. Like a, there are two zeros in 100 so its 10 to the power of 2.
John has a jar of between 500 and 600 coins that are all nickels, dimes and quarters. The ration of the number of quarters to dimes is 8 : 5 and the ratio of the number of dimes to the number of nickels is 6 : 11. What is the total value of the Money in john’s jar of coins?
Poooooooooooooooooooop
pls help i’ll give you brainliest
Step-by-step explanation:
5x and -7x are like terms
5x-7x+9=-2x+9 and there's your equivalent expression
Answer:
i want to say 7x is the answer
Step-by-step explanation:
because if you add 5x to 9 = to 14 the -7 = to 7x
Conner had 354$ and spent 243 cents. How much did conner have left and how many dollars? please help. If you do, then I will tell you a secret.
Conner: $354 - 243 cents
243 cents = $2.43 because 100 cents = 1 dollar
Conner: $354 - $2.43 = $351.57
$351.57
He has 351 dollars left.
Answer:
354 - 243 = 111
Step-by-step explanation:
300 - 200 = 100
50 - 40 = 10
4 - 3 = 1
100 + 10 + 1 = 111
which graph could represent a function ? ?
Answer:
The third Graph
Step-by-step explanation:
Using the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Answer:
The third Graph
Step-by-step explanation:
HELP GIVING BRAINLIEST NUMBER 5!!!!!!
Answer:
1 solution
Step-by-step explanation:
4x + 5 = 6(x+3) - 20 - 2x
4x + 5 = 6x + 18 - 20 - 2x
4x + 5 = 4x -2
X = 3 therefore, there is only one solution
Can someone tell just the answer
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .A copy machine makes 36 copies per minute. How long does it take to make 126 copies?
Answer:
It will take 3.5 minutes to make 126 copies
Step-by-step explanation:
Answer:
Step-by-step explanation:
We can do 126/36 to get our answer since 126 is the total copies and 36 is the copies we can do in a minute. 126/36 = 3.5 so it will take 3.5 minutes.
Please help me answer this question thank you.
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT
Answer:
60
Step-by-step explanation:
What is the sum of all prime numbers beetween 70 to 80?
What is the product of prime numbers immediately before and after 50?
Answer both plz thx....
Answer:
Prime numbers between 70 and 80 are 71,73,79
71+73+79=223
50 =2x5x5=2x5^2
Which of the following is not a function?
a. (1,1),(2,2), (3,3), (4,4)
b. (2,3), (2,4), (3,3), (3,4)
c (2,4),(4,8).(10,12). (4,10)
d. (2,4), (3,4), (5,4), (6,4)
Mike recorded the number of hours he slept each night for a period of 5 days as shown in the table below.
Based on the information in the table, what was the total number of hours that Mike slept from Monday through Friday?
Step-by-step explanation:
8+9= 17
7 3/4 + 7 1/4= 15
15 + 5 1/2= 20 1/2
17 + 20 1/2 = 37 1/2
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%
Given:
Original price = $15.25
Tax rate = 7%
To find:
The total amount.
Solution:
We know that,
Total amount = Original price + Tax
According to the question,
Total amount = 15.25 + 7% of 15.25
[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]
[tex]\text{Total amount}=15.25+1.0675[/tex]
[tex]\text{Total amount}=16.3175[/tex]
Round to the nearest cent (two decimal places).
[tex]\text{Total amount}\approx 16.32[/tex]
Therefore, the total value is $16.32.
5 12 14 will form a acute?
True or false
No it won't. it's false
cuz proofs here.
(5²)+(12²)= (169)
√(169) = 13
.. so if 13 was the number at 14
it would have been true.
currently the answer is false
what is the ordered pair to y=7x-2
PLEASE HELP!!
Graph the line with the equation
Answer:
Step-by-step explanation:
Find the value of x in the triangle shown below choose 1 answer
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
1. If you randomly select a piece of fruit from this jar, what is the P(orange)? Write answer as a simplified fraction.
2 oranges and 6 apples are in the jar
-20 > -2x + 4 inequality
Step-by-step explanation:
-20 > -2x + 4
2x > 4 + 20
2x > 24
x > 12
or
x ∈ 《12 , + ∞》
-20 > -2x + 4
-20 -4 > -2x
-24 > -2x
-24/-2 < x <inequality changes when you divide by a -ve no. >
12 < x
A delivery truck drove 52 miles per hour. It took 4 hours to travel between two towns. What is the distance between the two towns? Use the equation dert, where d is distance, r is rate, and t is time. The distance between the two towns is miles.
Answer:
104?
Step-by-step explanation:
52*4 = 208 ÷ 2 = 104
A piece of timber is x cm long. 9 cm is cut off how much is left
Answer:
x-9cm
Step-by-step explanation:
compute