Answer:
x = 16
Step-by-step explanation:
Given that ∆EFG ~ ∆ABC, therefore the ratio of the their corresponding sides would be equal.
Thus:
EG/AC = EF/AB
EG = 756
AC = (45x - 76)
EF = 1107
AB = 943
Plug in the values into the equation
756/(45x - 76) = 1107/943
Cross Multiply
756*943 = (45x - 76)*1107
712,908 = 49,815x - 84,132
712,908 + 84,132 = 49,815x
797,040 = 49,815x
797,040/49,815 = x
16 = x
x = 16
Heather has a thin piece of wood that measures 14 inches long by 13 inches wide. She wants to make a box with a height of 3 inches. Heather says that she has enough wood to make a box that has bases measuring 6.5 inches by 6.5 inches. Do you agree?
Answer:
Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Step-by-step explanation:
First, we will calculate the area of the piece of wood Heather has
Area (A) = Length (l) × Width (w)
From the question, l = 14 inches and w = 13 inches
A = 14 inches × 13 inches
A = 182 squares inches
Hence, the area of the piece of wood is 182 square inches
Now, we will calculate the total surface area of the box she desires to make
Area (A) of a box is given by
A = 2lw + 2lh + 2wh
Where l is the length
w is the width and
h is the height
She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.
i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches
∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)
A = 84.5 + 39 + 39
A = 162.5 square inches
Hence, the area of the box she wants to make is 162.5 square inches
Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.
Answer:
Yes
Step-by-step explanation:
(09.01)
Choose the equation below whose axis of symmetry is x = 2. (1 point)
O y=x²-2
O y = x2 - 4x + 2
O y = x2 + 4x + 2
O y=x²-4
Answer:
y = x2 - 4x + 2 ; y=x²-4
Step-by-step explanation:
Axis of symmetry = - b /2a
y=x²-2
a = 1 ; b = - 2
x = - (-2) / 2(1)
x = 2/2 = 1
y = x2 - 4x + 2
a = 1 ; b = - 4
x = - (-4) / 2(1)
x = 4/2 = 2
y = x2 + 4x + 2
a = 1 ; b = 4
x = - 4 / 2(1)
x = - 4/2 = - 2
y=x²-4
a = 1 ; b = - 4
x = - (-4) / 2(1)
x = 4/2 = 2
Answer:
y = x2 - 4x + 2 ; y=x²-4
Step-by-step explanation:
The triangular pyramid has identical equilateral triangles as its faces. Find the surface area of the pyramid.
Answer: B: 140.4
Step-by-step explanation:
find the inverse y=-1+1/5x pleaseee help
Answer:
there is no inverse
Step-by-step explanation:
to find the inverse you gotta interchange the variables and solve for y but it is 0 sooo there is no inverse, i believe.
find the rate of change on the table
Answer:
51
Step-by-step explanation:
Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
4x^34x
3
4, x, cubed
(Choice B)
B
b=9b=9b, equals, 9
(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text
(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72
(Choice E)
E
x+y-\dfrac83x+y−
3
8
Answer:
c b
Step-by-step explanation:
khan
Help asap, need help on this math problem. Solve for x
Answer:
c. 25
Step-by-step explanation:
According to the intersecting chords theorem, the product of the segments of a chord equals the product of the segments of the other chord it intercepts.
Thus:
3*x = 5*15
3x = 75
x = 75/3
x = 25
look at picture attack
Answer:
its 6.1
Step-by-step explanation:
so we use this formula to find it 950=4/3×3.14×r^3
Answer:
b. Radius is 6.1cm.
Step-by-step explanation:
R=(3xV/4π)^⅓
R=(3x950/4π)^⅓≈6.09834
R= 6.1cm
Find the equation of the line pls help
Step-by-step explanation:
A(0,3) B(2,2)
[tex] \frac{y - 2}{4 - 2} = \frac{x - 2}{0 - 2} \\ \frac{y - 2}{2} = \frac{x - 2}{ - 2} \\ y - 2 = - x + 2 \\ y = - x + 4[/tex]
I saw 8 sunflowers, 7 roses, and 2 lavender when I was walking outside.I collected them and decided to arrange them. How many different arrangements can I create?
Answer:
8 with a remander of 1
Step-by-step explanation:
Tim washed 15 cars in 3hours.how many cars can he wash In 7 hours?
Answer:
35 cars
Step-by-step explanation: ok so here is how you do it you divide 15 and 3 to find out how much cars Tim washed in one hour so in this case we got 5 then we multiply the hours by 7 and we get 35 cars
Answer:
I believe the answer is 35.
Step-by-step explanation:
15+15=30
30+5=45
1 hour = 5 cars
3 hours = 15 cars
6 hours = 30 cars
7 hours = 35 cars
15 divided by 3 = 1
so yeah hope this helps you.
Bob has two bags of coins.
The first bag has 3 nickels and 5
quarters. The second bag has 6
nickels and 2 quarters. Bob will
randomly select 1 coin from each
bag. What is the probability that
Bob will select a quarter from
each bag?
PLEASE HELP MEEEE
Answer: 40%
Step-by-step explanation: Get nae naed
Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y
Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
9514 1404 393
Answer:
(x, y) = (7, 2 2/3)
Step-by-step explanation:
We can multiply the first equation by 2/5 to get ...
8x -6y = 40
The second equation gives an expression for 6y that we can substitute.
8x -(3x -5) = 40
5x +5 = 40 . . . . . eliminate parentheses
x +1 = 8 . . . . . . . .divide by 5
x = 7 . . . . . . . . . .subtract 1
Using the second equation, we find ...
3(7) -5 = 6y
y = 16/6 = 2 2/3
The coordinates of the point of intersection are (x, y) = (7, 2 2/3).
What is the solution to the system below? x + 5y = 4
x - 5y = -16
(6,-2)
(2,-6)
(-6,2)
(-2,6)
Answer:
(-6,2) third option is correct
Step-by-step explanation:
x+5y=4 equation1
x-5y=-16 equation 2
by adding both equations we got
2x=-12
x=-6
now put x=-6 in any of the equation to get y...
-6+5y=4 equation 1
5y=4+6
5y=10
y=10/5
y=2
(-6,2)
Answer:
(-6, 2)
Step-by-step explanation:
Put (-6, 2) into eq1 and eq2
1. (-6) +5(2)= -6 +10 =4
2.(-6) - 5(2)= -6-10 = -16
only one that works is (-6, 2)
20*20= 75 True or False
Answer:
False
Step-by-step explanation:
LHS : -
20 x 20
= 400
is not equal to RHS.
HELPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A) gemma puts 7 rocks into each of her 8 gardens
Step-by-step explanation:
PLS PLS PLS HELP I will mark brainliest
Answer:
the volume of the green cube is 864 cubic inches the volume of the blue cube is 1440 cubic inches
Step-by-step explanation:
the volume of the green cube is 864 cubic inches the volume of the blue cube is 1440 cubic inches
I need help on this plz and thank you
Answer:
c.
Step-by-step explanation:
because probability is normally in fraction or decimal
Which of the following is the concept illustrated with the misentered data? A. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is less robust. B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust. C. The procedure for constructing the confidence interval is not robust. The smaller the sample size, the less resistant the mean. Therefore, the confidence interval is more robust.
Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.
Which of the following number cannot represent the 3 sides of a triangle?
{14,28,39}
{4,16,19}
{4,11,13}
{5,16,21}
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
d 5,16,21 Am sure I think
Step-by-step explanation:
Answer:
{5,16,21}
Step-by-step explanation:
sides of triangle: the sum of every two sides must be greater than the third sides.
{14,28,39}
=> 14 + 28 > 39, 14 + 39 > 28, 28 + 39 > 14 (correct)
{4,16,19}
=> 4 + 16 > 19, 4 + 19 > 16, 16 + 19 > 4 (correct)
{4,11,13}
=> 4 + 11 > 13, 4 + 13 > 11, 11 + 13, > 4 (correct)
{5,16,21}
5 + 16 not > 21 (wrong)
Determine the intercepts of the line
Answer:
x-intercept (3;3)
y-intercept (0;-10)
Help Me! Will give brainliest. Hurry UP!
11-2m-[n+5+-m-3n+8
Simplify!
Awnsers:
m - 2n - 2
-m + 2n - 2
-3m - 4n + 14
3m - 4n + 14
Step-by-step explanation:
11-5-8-2m+m-n+3n
= -2-m+2n Answer
just change in order otherwise answer is correct you can correct....
Steve flipped a coin 10 times and recorded his results in this chart.
Part A: What is the THEORETICAL probability of the coin landing heads up?
Answer:
Step-by-step explanation:
actual over theoretical times 100 equals ur percentage
Joe drove for 5 hours and traveled a distance of 240 miles . Which is best estimate of the number of miles Joe will travel in 7.2 hours.
a. 400
b. 375
c. 350
d. 325
Answer:
c,because he drove 48 miles per hour multiply that by 7.2 get you 345.6 rounded to 350.
Step-by-step explanation:
The retail price is 81% more than the original price. Hence, retail price = percent of original price
Answer: retail price x 1.81
Step-by-step explanation:
Price 100
Mark up is 81 percen
100 plus .81 equal 181
PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! WIll mark BRAINLIEST!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
A) Use the distance formula to find the length of each side, and then add the lengths.
Gerald deposited $950 into two different accounts.
- He deposited $450 into an account that pays 4.5% interest compounded annually.
- He deposited $500 into an account that pays 4.25% simple interest.
If Gerald does not deposit additional money into the accounts and he doesn't withdraw any money from the accounts, which is closest to the amount of interest he will have earned in these accounts at the end of 4 years?
A. $1,121.63
B.$177.20
C.$171.63
D.$1,116.00
Answer:
C
Step-by-step explanation:
The interest is 166.52.
Evaluate the power: (−3)^4
A. 81
B. -81
C. 243
D. -331
Answer:
The answer is 81.
Step-by-step explanation:
Since the power of 4 is even, the result will be positive.
[tex] {3}^{4} [/tex]
Simplify.
[tex]81[/tex]
hence, the answer is Option A) 81.
Two names for the angle formed by the dashed rays are? (I have to put down 3 letters)
Answer:
ZGK and DGS
Step-by-step explanation:
please answer correctly, will give brainliest
Answer:
b
Step-by-step explanation: