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.
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!! I'LL GIVE BRAINLIEST
A 2-column table with 3 rows titled Units of Capacity. Column 1 is labeled Customary System Units with entries 1 gallon, 1 quart, 1 cup. Column 2 is labeled Metric System Units with entries 3.79 liters, 0.95 liters, 0.237 liters.
Sameer usually drinks 3 cups of coffee in the morning. How many liters of coffee does he drink? Round your answer to the nearest tenth.
3 cups/1 × new units/ original units = ?
Sameer drinks _____ liters of coffee in the morning.
Answer:
11.85 deciliters
Step-by-step explanation:
11.85 deciliters
Answer:
0.7
Step-by-step explanation:
20 points !!!!!
Which of the following is a counterexample for the hypothesis "All parallelograms are rectangles"?
Answer:
The answer would be B
Step-by-step explanation:
A non-square rhombus. A non-square rhombus (also known as a rhombus) is different from a square with respect to its internal angles. Unlike a square, a non-square rhombus does not have all its internal angles equal to 90°. The number of lines of symmetry in a non-square rhombus is 2, whereas, a square has 4 lines of symmetry.
The required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles" which is the correct answer would be option (B).
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
A rhombus that isn't square. In terms of internal angles, a non-square rhombus (also known as a rhombus) differs from a square. A non-square rhombus, unlike a square, does not have all of its internal angles equal to 90°. A non-square rhombus has two lines of symmetry, whereas a square has four lines of symmetry.
Therefore, the required counterexample is rhombus for the given hypothesis "All parallelograms are rectangles"
Hence, the correct answer would be an option (B).
To learn more about the hypothesis here:
https://brainly.com/question/18064632
#SPJ6
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer..
Answer:
It is A
Step-by-step explanation:
You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2
Answer:
4m-2
Step-by-step explanation:
The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.
What is the x intercept of the line below?
Answer:
There is no x intercept
Step-by-step explanation:
Answer:
no x intercept
Step-by-step explanation:
it is parallel with the x axis. They will never touch
A puppy weighs 2 7/8 pounds. Carla feeds the puppy 3 ounces of food for each pound that the puppy weighs. How many ounces of food does Carla feed the puppy?
Answer:
8 5/8 ounces
Step-by-step explanation:
Given that:
Weight of puppy = 2 7/8 pounds
Puppy is being fed 3 ounces of food for each pound it weighs
Ounces of food being fed :
1 pound = 3 ounces
2 7/8 pounds =?
2 7/8 * 3
23/ 8 * 3
= 69/ 8
= 8 5/8 ounces
50 points !!!!!!!!!!!!!!!!! please help
I will give bairnleast
Answer:
3rd ome
Step-by-step explanation:
Answer:
The answer is a
Step-by-step explanation:
please I beg next time post a clear picture
the answers are not clear
2. Express each of the following as a rational number in the form of p/q
Where q≠0
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
[tex](\dfrac{3}{7})^2=\dfrac{9}{49}[/tex]
(b) (7/9)³
[tex](\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}[/tex]
(c) (-2/3)⁴
[tex](\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}[/tex]
Hence, this is the required solution.
Please help
Complete the square for the following equation x^2-18x
Answer:
Multiple answers would work
Step-by-step explanation:
From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:
(x-?) (x+?)
There are multiple answers this could be,
(x-18) (x)
(x-20) (x+2)
You get where I am going...
If you went with the first on (x-18) (x), then you wouldn't have to add anything.
(x-20) (x+2) = x^2 - 18X - 40.
To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.
Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.
Answer:
I think its 16, 32, or 36.
Step-by-step explanation:
Because I set it up like 2/100 = x/18 and then do the math
4
Which of the following angles is an example of Corresponding Angles?
2
3
56
7
>
Mark only one oval.
<2 and 6
<4 and 6
<1 and <6
1 and 7
Answer:
47
Step-by-step explanation:
the lines are parrele which explains
why its 47
Vertical Angles: Find the Supplementary Angles (photo provided)
Answer:
105°
Step-by-step explanation:
The given angles are vertical and congruent , then
8x - 21 = 6x + 3 ( subtract 6x from both sides )
2x - 21 = 3 ( add 21 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Then
6x + 3 = 6(12) + 3 = 72 + 3 = 75°
Supplementary angles sum to 180° , thus
supplementary angle = 180° - 75° = 105°
Help me please due in 40 minutes
Answer: x = -2
Step-by-step explanation:
5(3y -5) -4y = -14
15y - 25 - 4y = -14
11y - 25 = -14
11y = 11
y = 1
5x - 4(1) = -14
5x - 4 = -14
5x = -10
x = -2
Answer:
x = -2
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( − 2 , 1 )
Equation Form:
x = − 2 , y = 1
Need this very badly
Answer:
a.) 94 cm^2
Step-by-step explanation:
3 x 4 = 12
5 x 3 = 15
4 x 5 = 20
12 + 12 + 15 + 15 + 20 + 20 = 94
Answer: 94 cm squared
Step-by-step explanation:
HELP!!! NEED ANSWER ASAP!
Answer:
Yeah he's right...
Step-by-step explanation:
Christopher got a raise, and his hourly wage increased from $12 to $15, What is the percent
increase?
what is -1.54166666667 as a fraction
9514 1404 393
Answer:
-37/24
Step-by-step explanation:
We know that 1/6 = 0.166666..., so 1.541666... = 1.54 + 1/600.
Your fraction is ...
-154/100 -1/600 = -925/600 = -37/24
PLS SOMEBODY ANSWER IM DESPERATE I NEED AN ANSWER OMGGGG I WILL GIVE BRAINLIEST JUST ANSWERR!!! maria earns $4.76 an hour at the local supermarket. each week, 25% of her total pay is deducted for taxes. in addition, she pays $25 a week, after taxes, in union dues. if she wants her takehome pay to be at least $100 a week, how many hours must she work? show work pls :)
Step-by-step explanation:
Let x be the number of hours Maria work per week.
We have 0.75 * $4.76x - $25 >= $100.
Therefore 0.75 * $4.76x >= $125,
$4.76x >= $166.66
x >= 35.014
Hence Maria have to work at least 36 hours per week.
At a sleepover, three friends ate of a pizza. For a snack the next day, the friends
3 of the leftover pizza. What fraction of the pizza was not eaten?
ate
Answer:
3/8
Step-by-step explanation:
there are 3 friends even if it wasn't evenly eaten there was 3 slices left over which means it's 3/8
3) The price of a math book is $50, but you only have $35 with you. If you
get a discount of 20%, how much money do you need to borrow from a
friend so that you can buy the book?
Work Area
4) The price of a telephone is $200 at Walmart and $240 at Target. If you
get a 15% discount at Target, where would you go to buy the telephone?
1
Solve the following:
x 100
+3= 19
x=
Answer:
x=4/25
or x=1.028114
or x= 128
Step-by-step explanation:
Answer:x= 128
Step-by-step explanation:
Subtract 3 from both sides of the equation /8+3=19
x/8+3=19
/8+3−3=19−3
Simplify
x/8=16
Multiply all terms by the same value to eliminate fraction denominators
8x x/8=8x16
Simplify
X=128
sum of 2x and 3x in algebraic expression
Find the GCF of 8a^3b^5c^2 and 12a^2b^3c^2
*Please show your steps to the equation*
What are the answers to the last two questions?
Answer:
[tex](-1)(x+3)(x-2)[/tex]
Step-by-step explanation:
Factoring
We are given a trinomial:
[tex]-x^2-x+6[/tex]
The following steps are done to factor the trinomial.
1. Confirm there are no common factors: No common factors (given)
2. Factor out -1:
Multiply all the terms by -1 and take -1 out:
[tex]\boxed{(-1)(x^2+x-6)}[/tex]
3. Factor
[tex]x^2+x-6 = (x+p)(x+q)[/tex]
We have to find two numbers p and q whose product is -6 and the sum is 1. Those numbers are 3 and -2 (in any order):
Factoring:
[tex]x^2+x-6 = (x+3)(x-2)[/tex]
The final factoring is:
[tex]\boxed{(-1)(x+3)(x-2)}[/tex]
12. A culture of bacteria in the lab doubles every 6 minutes. Assume the growth follows a continuous exponential
model and you start with only 2 bacterium.
Using an appropriate exponential base, if this pattern continues to be applicable, find the time in
which the number of bacteria would reach 109. (Round to the nearest minute.)
Answer:
18 minutes
Step-by-step explanation:
if you divide 109 by 6, ya get 18.166666-
You have 200 bottles of Medicine. 99% contain Medicine A; the rest, Medicine B. How many bottles of Medicine A do you need to use/empty to get Medicine A to 98%?
Answer:
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
Step-by-step explanation:
The first step is to find out what 99% of 200 is. This will give us how many bottles of "Medicine A" are present.
99% of 200 is 198. This means that there are 198 bottles of Medicine A present.
The next step is to find out what 98% of 200 is. This will give us the number of bottles of "Medicine A " that will be left remaining.
98% of 200 is 196. There neede to be 196 bottles left after I have taken out and emptied a few bottles of Medicine A.
The last step is to subtract 196 from 198 bottles, to get the number of bottles that I need to empty.
This will be 198 - 196 = 2 bottles
I need to empty 2 bottles to get Medicine A to 98% of the total bottles
20 i think
Step-by-step explanation:
if it was 100 it would be 10. 100x2=200. thats how i got 20
HELP ASAP PLEASE
FIND THE VALUE OF X
Answer:
80
Step-by-step explanation:
Answer:
11/2
Step-by-step explanation:
Sum of angles in a triangle = 180°
84 + x +59 +x + 31 =180°
84+54+31+x+x = 180°
169 + 2x = 180°
2x = 180 - 169
2x = 11
x = 11/2
The point (–5, 6) is located in which quadrant?
A coordinate plane.
Answer:
The point (-5, 6) is located in the second quadrant
Step-by-step explanation:
Answer:
The second quadrant.
Step-by-step explanation:
To plot (-5, 6), we move back 5 units, and up 6, this places us in the second quadrant. Look at the image attached for a labeled coordinate plane.
Graph AABC with vertices A(4,1),B(-2,3), and C(-1,1) and its image after the glide reflection.
Translation: (x,y) → (x - 5y+4)
Answer: A(-1,5)B(-7,7)C(-6,5)
Step-by-step explanation: the translation subtracts 5 from each x value and adds 4 to each y value.
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Answer:
Zero slope is the answer
i know this is the easiest question ever but who wanna do it for me?:(
Answer:
The answer is y = -2x .....
Answer:
y=2
Step-by-step explanation:
This line is horizontal because it just crosses the y-axis at 2.
The picture shows what the graph would look like. The dark purple dot on the line is where the coordinate 2 is
2y + 3y = 4 - 6 - 13
Answer:
y=-3
Step-by-step explanation:
2y+3y=4−6−13
2y+3y=4+−6+−13
(2y+3y)=(4+−6+−13)
5y=−15
5y=−15
y= −3
Answer:
y = -10
Step-by-step explanation:
You add 2y and 3y, you'd get 5y from it. You do 4-6-13 which is -15.
So 5y = -15.
You subtract 5 from the y side and add 5 to the -15.
So basically:
5y = -15
-5 & +5
y = -10