Answers
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
Related Questions
Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet tall, how tall is the tree?
Answers
Answer:
30 ft
Step-by-step explanation:
We can use the given information to set up a ratio...
[tex]\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}[/tex]
[tex]\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}[/tex]
We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):
120 = 4x
Divide both sides by 4
x=30 ft
5(4 + 6) - 72 and explain the answer thank you
Answers
Answer:
-22
Step-by-step explanation:
5(4+6)-72
5(10)-72
50-72
-22
Answer:
5(4+6)-72
5x10-72
50-72
-22
Step-by-step explanation:
If you use PEMDAS, the P is for parenthesis.
So first, you do the (4+6) and then multiply it by 5, when you get that answer, do the final step. Subtract 72.
Hope this helped!! <3
Write the point slope form of the equation of the line through the given point and slope:
PLEASE EXPLAIN. (STEP BY STEP)
Answers
Step-by-step explanation:
the general point-slope form is
y - y1 = m(x - x1)
with (x1, y1) being a point on the line, and m being the slope.
so,
y - -1 = 4/3 × (x - 3)
or simplified
y + 1 = 4/3 × (x - 3)
Question 5 of 12, Step 1 of 1
Correct
-
Joan has $5.40 worth of change in nickels and dimes. If she has 4 times as many nickels as dimes, how many of each type of coin does she have?
Answers
Answer:
18 dimes and 72 nickels
Step-by-step explanation:
If Joan has 4 nickels per dime, that means that she will have change in groups of 30 cents (4*5=20+10=30). If we divide 5.40 by 0.30, we get 18. We now know there are 18 groups of 30 cents. One dime per group of 30 cents means that there are 18 dimes, and 4 nickels per group of 30 cents means that she has 72 (4*18) nickels.
Now to check our math:
[tex]72n+18d=5.40\\72(0.05)+18(0.10)=5.40\\3.60+1.80=5.40\\5.40=5.40[/tex]
Our math adds up, which means that we got the right answer :)
How do I find the surface area of 2 and 3 Plss helpppp
Answers
It mught help if u draw the shape 2d so u can see each side
What is the area of rhombus PQRS?
Answers
Answer:
370.1
Step-by-step explanation:
i just got the answer
What is the quotient of 2,914 ÷ 37?
Answers
Answer: 79 when rounded
Step-by-step explanation:
Answer:
its 787567567568
Step-by-step explanation:
What is 0.1326 as a unit rate?
Answers
Answer:
0.13
Step-by-step explanation:
because you have to round up when the fourth number is from 0-4 it stays the same but when its from 5- and up it goes up one
Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are nonzero elements of P.
Which statement about this product must be true?
a/b times c/d
A.
The product is a polynomial.
B.
The product is a rational number.
C.
The product is an integer.
D.
The product is a rational expression.
Answers
Answer:
A. The sum is a rational expression
Step-by-step explanation:
we are given
2/a+ c/d
we are given that
'b' and 'd' are non-zero values
So,
a/b is a rational number
c/d is a rational number
we can see that both are added
So, sum of rational expression is also a rational expression
so...
A. The sum is a rational expression
Answer:
The correct answer is D. The product is a rational expression.
Step-by-step explanation:
I got it right on the Plato test.
Which number is closest to - 14 square root?
A. -4.5
B. 4.5
C. 3.7
D. -3.7
Answers
Answer:
the correct answer is -3.7
Binomials: Expand (2a+3)^3 (PLEASE ANSWER QUICKLY)
Answers
Answer:
[tex]8 {a}^{3} + {36a}^{2} + 54a + 27 \\ [/tex]
Explanation:
Binomial theorem,
[tex] {(p + q)}^{3} = {p}^{3} + 3 {p}^{2} q + {q}^{3} [/tex]
HURRY 20 POINTS
Mrs. Bready has a large bag filled with red and green cards. She tells the class that 15% of the cards are red and
85% are green. At the end of each class, she mixes the cards, reaches inside the bag, and draws out one card at
random. If a red card is drawn, the students will not be assigned homework. She shows the class the card, and
then places the card back in the bag. Carla would like to carry out a simulation to estimate the number of days it
will take in order to get a "no homework" day. She assigns the digits to the outcomes.
00-14 = red
15-99 = green
Beginning at line 1 and starting each new trial right after the previous trial, carry out 5 trials of this simulation
Based on these 5 trials, what is the average number of days it will take to get a "no homework" day?
A) 2
B) 2.8
C) 3.4
D) 4.2
Answers
It will take 4.2 days in order to get a "no homework" day.
AveragesTo determine the average number of days that it will take in order to get a "no homework" day, based on these 5 trials, the following calculation must be performed:
0.85 x 0.85 x 0.85 x 0.85 x 0.85 = X0.4437 = XTherefore, it will take 4.2 days in order to get a "no homework" day.
Learn more about averages in https://brainly.com/question/12322912
Answer:
2.8
Step-by-step explanation:
4. 9 + (11 + 46) = (9+
.) + 46
Answers
Answer:
156.5
Step-by-step explanation:
first you want to add 4.9+(11+46) that equals to 61.9
second you want to save that number and add 9+.)+46=94.6
add both of them together 61.9+94.6=156.5
The nth term of a sequence is 3n squared.
What is the 15th term
Answers
Answer:
2025
Step-by-step explanation:
3n² is our nth term
n=15
thus....
(3×15)²
= 45²=2025
Hopefully this helped- have a great day)
find the value of x in the polygon
Answers
Answer:
x = 13 5/13°
Step-by-step explanation:
The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...
(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°
52x +24° = 720° . . . . . . collect terms
52x = 696° . . . . . . . . subtract 24
x = 13 5/13° . . . . . . divide by 52
_____
Additional comment
The angles, in the same order, are approximately ...
{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}
Find the surface area in square inches of a right circular cylinder with a diameter of 1 foot and height of 1 foot
Answers
Answer:
678.58416 square inch
Step-by-step explanation:
4.71239ft² = 678.58416 square inch
Please help need to get too 80%
Answers
Answer:
the scale factor is 5:36.
Step-by-step explanation:
To solve the question, we note that 1 yard = 3 feet and 1 feet = 12 inches
Where the scale of the drawing is 5 inches = 1 yard,
we have the scale of the drawing is 5 inches = 36 inches
5 inches is equivalent to 36 inches in real life
That is the scale is 5 is to 36 which is 5:36.
There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0. 10 of the project, and Kwa has completed 1/9 of the project. Make a list of the students in order from least to greatest by the amount of the project they have completed.
Answers
There are a few methods to doing this, but lets make every number a fraction. (You could make them all percentages or decimals if you want, but it is more difficult in my opinion.)
Miguel: 1/8
Gina: 13/100
Jatziry: 10/100 = 1/10
Kwa: 1/9
Now we need to find the least common denominator, which is 1800.
Now you have these fractions:
Miguel: 225/1800
Gina: 234/1800
Jatziry: 180/1800
Kwa: 200/1800
Now you can easily list these in order
180/1800 < 200/1800 < 234/1800 < 225/1800
Jatziry < Kwa < Gina < Miguel
Sorry if I made any mistakes, I realized Jatziry was a part of the problem halfway through.
Harold works at a men's clothing store, which
- marks up its retail clothing by 27%.
The store purchases pants for $74.00, suit
Jackets for $325.00 and dress shirts for
$48.00. How much will Harold charge a
customer for a pair of pants, a dress shirt and
a suit jacket?
Answers
Answer:
$567.67
Step-by-step explanation:
1. 74 + 325 + 48 = 447
2. 447 + (0.27)(447) = 447 + 120.67
3. 447 + 120.67 = 567.67
What is the equation of the line that contains the point (-1, 4) and has a slope of 3?
Answers
Are the points (4,3), (7,3), (4,0), (7,0) a rectangle, trapezoid, parallelogram, or square?
Answers
square, the points (4,3) (7,3) (4,0) (7,0) add up to become a square!
If sin(3x + 5)º = cos(4x + 1)º, what is the value of x? Explain how you derived your
answer
Answers
A bag contains 3 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be green?
Answers
AB bisects CD at point Q. You are given that m
Answers
Answer:
the answer is twenty four
Find the area of the parallelogram 11 mm 22 mm
Answers
Answer:
Ok well come how are you there
Which statements are true for the following expression? 30 · (8 + 7 + 3) Check all that are true. The solution is the product of two factors. The second factor is itself the sum of three terms. The solution is the sum of two terms. The coefficient is 3. The second factor is the sum of two terms.
Answers
Answer:
True:
The solution is the product of two factors.
The second factor is itself the sum of three terms.
False:
The solution is the sum of two terms.
The coefficient is 3. (This one I'm confused about. There is no x/letter term, so there shouldn't be a coefficient in this problem at all.)
The second factor is the sum of two terms.
A restaurant needs to order stools and chairs. Each stool has 3 legs and each chair has 4 legs. The
manager wants to be able to seat 36 people. The restaurant has hard wood floors and the manager
doesn't want to scratch them. Therefore, they have ordered 129plastic feet covers for the bottom of the
legs to ensure the stools and chairs don't scratch the floor. How many chairs and how many stools did
the restaurant order?
Answers
Answer:
44
Step-by-step explanation:
if this is the question from edge then trust me
There are 15 chairs arranged evenly around t tables. Choose the expression that shows how many chairs are at each table.
Answers
Answer:
15/t
Step-by-step explanation:
15 chairs per table
(/) is used instead of the word 'per'
Acellus
Find the volume of this figure.
[?] = cubic units
Enter
What is the volume?
Answers
Answer:
36
Step-by-step explanation:
length=6
width=3
height=2
6 x 3 x 2 = 36
Solve for x.
4x−2=6
Enter your answer in the box.
Answers
Answer:
The answer is 2 because change -2 to 2 and add two to 6 which will equal to 8 then divide it by 4 to get the answer 2.
Answer:
x=2
Step-by-step explanation:
4x−2=6
4x=6+2
4x=8
4x÷8
x=2