Answer: 384
Step-by-step explanation:
The lengths of the sides of quadrilateral EFGH are as follows: EF = 12 cm, FG = 6 cm, GH = 9 cm, and EH
- 9 cm. If EFGH - MNOP and NO = 7.5 cm, which statement about the side lengths of quadrilateral MNOP
is true?
MN = 12 cm because the scale factor for dilating quadrilateral EFGH is 1.
MP = OP = 7.2 cm because the scale factor for dilating quadrilateral EFGH is
UA
5
HMN = 13.5 cm because the scale factor for dilating quadrilateral EFGH adds 1.5 cm to EF.
MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The true statement about the side lengths of quadrilateral MNOP is (d) MP = OP = 11.25 cm because the scale factor for dilating quadrilateral EFGH is 1.25.
The side lengths of EFGH are given as:
[tex]EF = 12\ cm[/tex]
[tex]FG = 6\ cm[/tex]
[tex]GH = 9\ cm[/tex]
[tex]EH = 9\ cm[/tex]
Length NO is also given as:
[tex]NO = 7.5\ cm[/tex]
Because both quadrilaterals are similar, then side NO corresponds to side FG.
The scale factor (k) from EFGH to MNOP is then calculated as:
[tex]k = \frac{NO}{FG}[/tex]
[tex]k = \frac{7.5}{6}[/tex]
[tex]k = 1.25[/tex]
The side lengths of MNOP are then calculated using:
[tex]MN = 12cm \times 1.25[/tex]
[tex]MN = 15\ cm[/tex]
[tex]OP = 9cm \times 1.25[/tex]
[tex]O P = 11. 25 cm[/tex]
Also,
[tex]MP = 11. 25 cm[/tex]
So, the true statement is (d)
Read more about dilations at:
https://brainly.com/question/3457976
question in file .
give me brainlg anserf
Explanation
Formula to be used,
1st equation of motion, v = u + at • 3rd equation of motion,v² - u² = 2 asSolution,
Putting all the values, we get
v=u + at
⇒0 = u + (-0.5) × 20
⇒-u=-0.5 × 20
⇒u = 10 m/s
Hence, the initial velòcity of the car is 10
city of the car is 10m/s.
Now, the distance covered,
v²-u² = = 2as
⇒ (0)²-(10)² = 2 × (-0.5) × s
⇒-100 = - 1s
⇒ s = 100 m
Hence, the distance covered is 100 m.
Pls help with my maths!!!
Step-by-step explanation:
[tex] \frac{x + 6}{ x} = \frac{5}{2} [/tex]
Then collect like terms
answer is x = 4
Answer:
x = 4
Step-by-step explanation:
x + 6/x = 5/2
2(x + 6) = 5(x)
2x + 12 = 5x
12 = 5x - 2x
12 = 3x
12/3 = x
4 = x
Hence,
Value of x is 4
4+2g+5g=-66
help me
plsss
pls
three less than a number is -18
Answer:
-15
Step-by-step explanation:
work in reverse
-18 is three less than something
that means that something is 3 more than -18
so
add 3 to -18
-18+3= -15
What is the value of c?
Answer:
Step-by-step explanation:
Explanation:
Since it is a right triangle and we are given the two shorter legs, the hypotenuse is found by
c
2
=
a
2
+
b
2
c
2
=
10
2
+
24
2
=
100
+
576
=
676
c
=
√
676
=
26
A recipe for a loaf of bread requires 2/3 cup of flour. How many cups of flour would it take to make 15 loaves of bread?
Answer:
10
Step-by-step explanation:
1 loaf if bread= 2/3 cup
15 loaves of bread= 2/3 × 15
= 10
What is 25% of 50?
Need answers :)
Answer:
12.5
Step-by-step explanation:
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
What is the perimeter of the triangle?
Answer:
L1 + L2 + L3 = perimeter
Step-by-step explanation:
You add each side of the triangle together.
Answer:
L1+L2+L3
Step-by-step explanation:
You add all the sides of the triangle to get the perimeter
Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
Answer:
3/7
Step-by-step explanation:
The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.
is the following relation a function {(-6,-3),(-6,-1),(-6,5),(-6,8)
Answer:
Step-by-step explanation:
This relation (this group of points) is NOT a function. In order to be a function, every x-value (the first number in the pair) can only be paired up with one y-value (only one partner for the x)
In this relation, -6 is paired up with four different y-values (four different partners!)
If you plotted these points on a graph, you would see they are all lined up in a vertical line. If you have learned about the vertical line test, you will see that a vertical line goes through all four points. This set of points fails the vertical line test. To be a function, a vertical line can only touch the points one at a time.
To be a function, every x can only have one y partner.
Find the product. Simplify your answer. (m–4)(2m+2)
Answer:
2m²-6m-8
Step-by-step explanation:
(m-4)(2m+2)
= (m+-4)(2m+2)
= (m)(2m)+(m)(2)+(-4)(2m)+(-4)(2)
= 2m²+2m-8m-8
= 2m²-6m-8
Find the total amount and total interest after one year if the interest is compounded half yearly
Principal = 4000
Rate of interest = 10% per annum
Total amount =
Total interest =
Expand using identities:
(i) (2x- 5y)²
(ii) (11a + 2) (11a – 2)
(iii) (7m + 3) (7m + 3)
Answer:
Step-by-step explanation:
(2x-5y)^2
(2x-5y)(2x-5y)
4x^2-10xy-10xy+25y^2
4x^2-20xy+25y^2
------------------------------
(11a+2)(11a-2)
121a^2+22a-22a-4
121a^2-4
------------------------------
(7m+3)(7m+3)
49m^2+21m+21m+9
49m^2+42m+9
what is the sum of two number 55 + 6
Answer:
61
Step-by-step explanation:
1+1+1+1+1+1=6
6x10=60
60+1=61
The following graph shows the system of equations?
PLS HELP
Solve the system of equations by the substitution method.
y = 2x + 1
5y-7x = 11
.....
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is (Simplify your answer. Type an ordered pair.)
OB. There are infinitely many solutions.
O C. There is no solution.
Help
Answer:
(2,5) -- that is, x is 2, and y is 5, so it would be choice A.
Step-by-step explanation:
5(2x+1)-7x=11
10x+5-7x=11
3x=6
x=2
y=2(2)+1=5
index notation simplify 4^9 x 4^3
Answer:
[tex]4^{12}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
Work out m and c for the line: y = 8 − x
m=-1 and c=8 for the line y = 8 − x
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation is y = 8 − x
This equation we can write in the form of slope intercept form
y=-x+8
y=(-1)x+8
Now compare the above equation with slope intercept form
m=-1 and c=8
Hence, m=-1 and c=8 for the line y = 8 − x
To learn more on slope intercept form click:
https://brainly.com/question/9682526
#SPJ2
It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.
Answer:
$52
Step-by-step explanation:
8*6.50
help plslssssssssssssssss
Step-by-step explanation:
The answer is
In step 1 the multiplication property of equality was applied incorrectly
correct?`````````````````````````
Answer:
It's $5 for a ticket
Step-by-step explanation:
Hope this helps
MAy I get Braineist pls?
PLEASE HELP WILL MARK BRAINIEST!!!!!!
Answer:
Copy an angle is the best solution with compass and straight edge.
2 and 5/6 divided by 1 and 2/3 find the solution and write it in simplest form
Thanks for the help!!!!
Answer:
1 7/10
Step-by-step explanation:
= 17/6 ÷ 5/3
= 17 x 3
= 6 x 5
= 51/30
= 1 7/10
QUESTION 15 PLEASE HELP ME ASAPP
Answer:
The line shifted up 8 units
Step-by-step explanation:
plss help me... with explanation
(20 pnts)
Answer:
B. slope
Step-by-step explanation:
Solve 5 - 2x < 7.
A) x < -1
B) x > -1
0x<
-12
D) x>-12
Answer:
x < - 1
Step-by-step explanation:
You have to treat it is a linear equation.
First, - 5 from both sides, resulting in -2x < 2.
Lastly, you need to find x on it's own so you have to divide by - 2.
Therefore, the answer would be x < -1.
Hope this helps :)
When buddy ran away after his dad yelled at him dad and step brother searched 10% of New York for him what is this number as a fraction written in simplest form
Answer:
1/10
Step-by-step explanation:
they searched 1/10of New york
10%=10/100
=10%=1/10
Answer : 1/10
Step - by - step explanation :
10% = 10/100 ( because percentages are always out of 100 )
10/100 divided by 10/10 = 1/10
A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?
Answer:
85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stoneStep-by-step explanation:
The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...
1/9 = portland cement
3/9 = 1/3 = sand
5/9 = crushed stone
Since the total is 765 ft^3, the ingredients required are ...
(1/9)(765 ft^3) = 85 ft^3 portland cement
(1/3)(765 ft^3) = 255 f^3 sand
(5/9)(765 ft^3) = 425 ft^3 crushed stone
A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?
Step-by-step explanation:
Ounces of water = 56 - 14 = 42 ounces
Ratio of sugar to water
56 : 42
8 : 6
4 : 3