Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answer: -19, -23, -27
Step-by-step explanation:
You minus/subtract 3 each time to get your next three terms
What inequality is represented by the graph below
Answer:
A
Step-by-step explanation:
when the line is solid its greater, smaller or equal to
when the line is dashed its greater or smaller
When the shade is above the y is greater
When the shade is coming from down its less than
Please help me answer this.
Pls help, best get brainiest...
Answer:
The equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
Step-by-step explanation:
Given the equation
[tex]8x-6y=7[/tex]
Writing the line into the slope-intercept form
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]8x-6y=7[/tex]
[tex]6y\:=\:8x-7[/tex]
Dividing both sides by 6
[tex]y=\frac{4}{3}x-\frac{7}{6}[/tex]
comparing with the slope-intercept form
Thus, the slope of the line = m = 4/3
We know that the parallel lines have the same slope.
Thus, the slope of the parallel line is also 4/3
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (6, -1)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-1\right)=\frac{4}{3}\left(x-6\right)[/tex]
[tex]y+1=\frac{4}{3}\left(x-6\right)[/tex]
Subtract 1 from both sides
[tex]y+1-1=\frac{4}{3}\left(x-6\right)-1[/tex]
[tex]y=\frac{4}{3}x-9[/tex]
Thus, the equation a parallel line will be:
[tex]y=\frac{4}{3}x-9[/tex]
Hence, option B is correct.
NEED ANSWER ASAP:
Write the ratio as a fraction in simplest form.
2 1/3 feet : 4 1/2 feet
Answer:
14/27 feet
Step-by-step explanation:
2 1/3 feet : 4 1/2 feet
= 7/3 : 9/2
= 7/3 ÷ 9/2
= 7/3 × 2/9
= (7*2)/(3*9)
= 14/27 feet
2 1/3 feet : 4 1/2 feet = 14/27 feet
NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
Define a variable, write an inequality, and solve each problem.
9. The sum of a number and five is more than negative seven.
Answer:
x+5>-7
Step-by-step explanation:
The sum of a number and five translates to x+5. It then states that this expression is more than negative seven, therefore you use a greater than sign to get x+5>-7
Identify the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ...
Answer:
the common difference in the arithmetic sequence: 21, 15, 9, 3, -3, ... is 6
Last week, the price of pears at the store was $1.15 per pound. This week, the price has increased by 20%. What is the price of pears this week?
plz help
Answer:
$1.38
Step-by-step explanation:
$1.15 = 100%
So...
$1.15 + (1/5.1.15) =
$1.15 + $0.23 = $1.38
just please help help help help
Answer:
C.{(-3,10),(-2,5),(1,2),(-2,-4)}
GIVING OUT BRAINLEST!!
Enter the range of values for x
Answer:
I need help w this question to answer it plz!
Answer:
Step-by-step explanation:
You will need to add a picture
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer:
172.8
Step-by-step explanation:
Answer:
172.8
Step-by-step explanation: Dont Trust Me But Its Right B)
Find the slope of the line containing the points (0, 3) and (-6, 1)
Step-by-step explanation:
To find the slope of any linear line you would have to use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
(-6 , 1) = ([tex]x_{2}[/tex], [tex]y_{2}[/tex])
(0 , 3) = ([tex]x_{1}[/tex], [tex]y_{1}[/tex])
Now you would insert the values into the formula....
[tex]\frac{1-3}{(-6)-0}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex]
1/3 is your answer.
If you want to check your answer, you would use the formula mx + b= y
m= slope
x = the x-coordinate in either of the coordinates
b= the y-intercept
y = the y-coordinate of the coordinate you chose
mx +b = [tex]\frac{1}{3}[/tex](-6) +3 = -2 +3 = 1
1/3 is the correct answer
Hope this helps!!!
a rectangle is 11 inches long and 8 inches wide how do I find its area
Answer:
A = 88 in^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 11 (8)
A = 88 in^2
4.
Cindy can read 8 pages of her book in 6
minutes. How long will it take her to
read 70 pages
Answer:
??????????????? fuсk you
Step-by-step explanation:
fuсk you fuсk you fuсk you fuсk you fuсk you
Solve this please 13 = 8 - 6x
HELP ALERT ALERT MATH PROBLEM
Please help down below
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
Question 1 (1 point)
rCKDCJU8REiqxA77lV1wV2cHFZfr5tUaTGXFyevoxRboy_VmEz4R7wgZXpfqpY_aAOyvKWcTjBhUHdTxvo6W4sP9mOERugsKxruddHPqsR8t4LnexvVvVd_s6pJJJlrYJwHutIwNfwE
What is this an example of?
a
Points Line
b
Point
c
Line intersection
d
point plane
Answer:
definitely C
Step-by-step explanation:
because the fhitnesss grahm pacer test.....
PLEASE HELP MEE
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
( A ) Each sandwich has one half pound of ham.
( C ) Each sandwich has 1 pound of ham.
( D )Each sandwich has 2 pounds of ham.
Kevin has one half pound of ham left over.
Answer:
( D )Each sandwich has 2 pounds of ham.
Answer:
1/2 of ham
Step-by-step explanation:
Can somebody help me with this one thank you.
Answer:
3/4
Step-by-step explanation:
6/8 divided by 2 is 3/4
simplify using a positive exponent : 2 ^-3
Answer:
1/2^3
Step-by-step explanation:
When an exponent is negative you flip the fraction, in this case from numerator to denominator.
1/2^3
Step-by-step explanation:
3x + 4y - 2(x + 1) + 2(4y - 8) – 25y + 485
1x - 13y + 475
Step-by-step explanation:
[tex]3x \: + \: 4y \: - \: 2(4y \: - \: 8) \: - \: 25y \: + \: 485[/tex]
3x + 4y - 2x - 2 + 8y - 8 - 25y + 485
3x - 2x + 4y + 8y - 25y - 2 - 8 + 485
1x + 4y + 8y - 25y - 2 - 8 + 485
1x + 12y - 25y - 2 - 8 + 485
1x - 13y - 2 - 8 + 485
1x - 13y - 10 + 485
1x - 13y + 475
HOPE THIS HELPS YOU
Solve by completing the square:
2) 3x2 + 24x - 27 = 0
Combine like terms : 2x+5x+10x
Answer: =17x
Step-by-step explanation: hope this help, hope you understand it too.
Let's simplify step-by-step.
2x+5x+10x
Combine Like Terms:
=2x+5x+10x
=(2x+5x+10x)
=17x
x + y = 27
y = x + 3
Answer:
y = 15
x = 12
Step-by-step explanation:
Bc 12 + 15 = 27 and 15 = 12 + 3
1)-9+6h > 39
solve each inequality
Answer:
H < 8
Step-by-step explanation:
-9+6h>39
Add 9 to the -9 and the 39
6h>48
Divide the 6 and the 48 by 6, then flip the > to a <
h = 8
I hope this helps you out!
Determine whether each number is a solution of the
given inequality
8m - 6 < 10
when m = 3
O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)
Answer:
NO (m = 3 is not a solution of the inequality)The line graph is also attached below.
Step-by-step explanation:
Given
[tex]8m-6<10[/tex]
Add 6 to both sides
[tex]8m-6+6<10+6[/tex]
Simplify
[tex]8m<16[/tex]
Divide both sides by 8
[tex]\frac{8m}{8}<\frac{16}{8}[/tex]
Simplify
[tex]m<2[/tex]
Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.
Hence,
NO (m = 3 is not a solution of the inequality)VERIFICATION:
Given
[tex]8m-6<10[/tex]
substitute m = 3
8(3) - 6 < 10
24 - 6 < 10
18 < 10
FALSE
first come first serve 25 points answer whatever first will get brainlyiest
Answer:
yo
Step-by-step explanation:
yo
Answer:
thanks dude
Step-by-step explanation:
:)