1. Parallelogram ABCD is similar to
parallelogram EFGH. What is the length of
GH?
B
21 in
C
6 in
A
F
7 in
G
D
H
GH:
3. The triangular prisms shown below ar
Answers
Answer:
The length of GH is 2 inches
Step-by-step explanation:
The given parameters are;
Parallelogram ABCD ~ Parallelogram EFGH
Segment BC of parallelogram ABCD corresponds to segment FG of parallelogram EFGH
Similarly
Segment CD of parallelogram ABCD corresponds to segment GH of parallelogram EFGH
In parallelogram ABCD, we have;
Segment BC = 21 in.
Segment CD = 6 in.
In parallelogram ABCD, we have;
Segment FG = 7 in.
Given that parallelogram ABCD is similar to parallelogram EFGH, we have;
[tex]\dfrac{\overline{BC}}{\overline{FG}} = \dfrac{\overline{CD}}{\overline{GH}}[/tex]
Which by substitution, gives;
[tex]\dfrac{21}{7} = 3 = \dfrac{6}{\overline{GH}}[/tex]
[tex]\therefore \overline{GH} = \dfrac{6}{3} = 2[/tex]
[tex]\overline{GH}[/tex]= 2 inches
Related Questions
An employee does not pay tax on the first $4000 of earnings and then 25% tax on the rest of earnings. If he wants to have $20000 net of tax earnings does he need
Answers
Answer:
$68000
Step-by-step explanation:
Tax free earning = first 4000
Tax on remaining amount = 25%
Total earning in other to have $20000 net of tax earning :
Net of tax = tax free earning + (25% * remaining amount)
Let remaining amount = x
20000 = 4000 + (0.25 * x)
20000 = 4000 + 0.25x
20000 - 4000 = 0.25x
16000 = 0.25x
x = 16000 / 0.25
x = 64000
Hence,
Total earning should be :
Tax free earning + roaming amount
4000 + 64000
= $68000
Translate this sentence into an equation.
75 is the difference of Vanessa's age and 11.
Use the variable v to represent Vanessa's age.
Answers
Please help
Round your answer to the nearest hundredth
Answers
Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )
Which equation below will give a graph of a line parallel to the graph of -2x - 4y = 3?
Answers
Answer:
Any choice that has a slope of -1/2
Step-by-step explanation:
-2x - 4y = 3
-4y = 2x + 3
4y = -2x - 3
y = -1/2x -3/4
y = mx + b
m = slope
Solve the proportion for X
Answers
Answer:
x = 27
Step-by-step explanation:
f(x) = -4x + 1; Find x = -1
Answers
Equals
5
Hehehehe
How do I solve this question points to ever solves it.
Answers
2: the y intercept represents the temperature it started at
help I will give brainiest
Answers
8^2 + 15^2 = 289.
square root of 289 = 17
CORRECT
Answer:
itis because the triangle has a 90° angle thus making it a right triangle
DE is the perpendicular bisector of AC. Find AC.
Answers
Answer:
Step-by-step explanation:
It is hard to read but (5x - 2) + (7x - 9) = AC also 5x - 2 = 7x - 9
5x - 2 = 7x - 9 subtract 5x from both sides then add 9 to both sides
5x - 5x - 2 + 9 = 7x - 5x - 9 + 9
-2 + 9 = 7x - 5x
7 = 2x
3.5 = x
5x - 2 = 7x - 9
3 ≠ -2 when x = 1
8 ≠ 5 when x = 2
13 ≠ 12 when x = 3
15.5 = 15.5 when x = 3.5
18 ≠ 19 when x = 4
Does anybody understand the 3rd problem?
Answers
9x+4=180
9x = 45
X= 5
Answer:
Step-by-step explanation:
if you add all the angles in a triangle together, its 180 degrees.
so, (3x+2)+(4x+1)+(2x+1) = 180
we can combine like terms so 9x+4=180
9x=176
x=19.6 degrees
now plug the x into each angle and that's them
Helppppp pleaseeee please
Answers
Bdnwjxhwbanzbdjaja
Answer:
14
Step-by-step explanation:
Assuming that the two triangles are proportional, 16 : 8 is a ratio of 2 : 1, meaning that in order to get the value of x, you multiply 7 by 2 since it is the proportional side.
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse ACAC. If AB=6AB=6 and AD=2,AD=2, what is the length of \overline{AC}?
AC
?
Answers
Answer:
x=18
Step-by-step explanation:
6/2= x/6
2x=36
Divide by 2
x=18
The measure of the hypotenuse AC will be AC=18
What is the right-angle triangle?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
Given that the right triangle ABC with altitude BD drawn to hypotenuse AC. and AB=6 and AD=2,
The value of AC will be calculated as:-
6 / 2= AC / 6
2 x AC=36
Divide by 2
AC = 18
Hence, the measure of AC is 19.
To know more about right-angle triangles follow
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PLEASEEE HELP MEE EXPLAIN YOUR ANSWER
Answers
Answer:
Width=5
Mark brainliest plzzz
Step-by-step explanation:
8x5x3=120
8x5=40
40x3=120
please help !!!! i’ll give brainliest !!!!!
Answers
Answer:
approx. 56.72 square inches
Step-by-step explanation:
A= 2πrh + 2πr2 = 2·π·1.15·6.7+2·π·1.152 ≈ 56.72146
Which of the following is a true statement?
Answers
Answer:
The first one is TRUE.
You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2
1/2 is bigger becuase let’s say u have a pizza and u don’t want small pieces of pizza we want a lot so we would go for 1/2
Find m< AEB. Please help
Answers
Answer:
118
Step-by-step explanation:
the length ED is equal to EC
so
the angle is also the same
that's mean the angle ECD is equal to 31
then to find the another angle just do like this
=180–31–31
=118
Answer:
∠AEB = 118°
Step-by-step explanation:
∠EDC = 31°
∠ECD = ∠EDC = 31°
ΔDEC = contains 180°
∠DEC = 180 - 31 - 31 = 118°
∠AEB = 118° because it is a vertical angle to ∠DEC
I need help with this math problem
Answers
Answer:
x = 15
Step-by-step explanation:
The right angle is formed at at the tangent line and the radius
So to solve for the missing angle we can solve for x using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
Knowing this we can create an equation to solve for x
[tex]12^2+9^2=x^2[/tex]
now we solve for x
[tex]12^2=144\\9^2=81\\81+144=225\\225=x^2\\\sqrt{225} =15\\\sqrt{x^2} =x\\x=15[/tex]
So we can conclude that x = 15
how many cubic feet will it take to fill the prism below
Answers
the answer is a did you multiply then divide
Answer:
480
Step-by-step explanation:
Help please
Brainiest answer to whoever is first
Answers
Answer:
84 inches squared
Step-by-step explanation:
perimeter = 6+7+5+10+15
= 43
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 16, negative 1, 2, negative 1, negative 4, negative 1.
Analyze the table of values for the continuous function, f(x), to complete the statements.
A local maximum occurs over the interval
A.) (–3, –1)
B.) (–2, –1)
C.) (–2, 0)
A local minimum occurs over the interval
A.) (–2, 0)
B.) (0, 1)
C.) (0, 2)
Please help im so dum8
Answers
Answer: local maximum is (-2,0)
local minimum is (0,2)
Find the 14th term of the geometric sequence 2, 4, 8,
Answers
Answer:
16,384
Step-by-step explanation:
The pattern is times 2
2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384
The 14th term is 16384
The required 14th term of the given geometric sequence 2, 4, 8, is 16384.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The geometric sequence is given in the question as:
2, 4, 8, ...
To determine the 14th term of the geometric sequence 2, 4, 8, you can use the formula for the nth term of a geometric sequence, which is [tex]a_n = a_1 \times r^{(n-1)}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio.
In this case, the first term is 2, the common ratio is 2, and the term you want to find is the 14th term, so you can plug these values into the formula to get:
[tex]a_{14} = 2 \times 2^{(14-1)}[/tex]
= 2 × 2¹³
= 2 × 8192
= 16384
Therefore, the 14th term of the geometric sequence is 16384.
Learn more about geometric series here:
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PLZZ HELPP ILL GIVE BRAINLIST
Answers
Answer:
495.43
Step-by-step explanation:
need help by thx iejhbeeje
Answers
Answer:
Step-by-step explanation:bhj
Answer:
$14.94
Step-by-step explanation:
$40-$10.02= $29.98
2÷29.98= $14.94
This is very easy. will give brainliest!!
Answers
Answer:
7. 158
8. 90 degrees
9. right angle
10. acute
Step-by-step explanation:
lm.ao if it's easy then do it lol jk here's the answers:) hope this helps
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds? (In order to find the percentage you need to divide 33/60=?)
What percentage of the weight limit is 114 pounds? (In order to find the percentage you need to divide 114/60=?)
What weight is 95% of the limit? (in order to find the weight in pounds you need to multiply 95%(0.95) x 60=?pounds)
Answers
Answer:
55%
190%
95% = 57
Graph the equation y=2x. Fill in the missing values in
the table.
Answers
Answer:
in this order (0,0) (1,2) (2,4) (3,6)
Step-by-step explanation:
pls mark brainliest
I can't see pictures, but to graph y=2x, you have to make 2x into slope form.
Just write 2 as a fraction, or 2/1. 2 is the rise, and 1 is the run. So start at the origin, or (0,0), and go up 2 units, then 1 unit right. So you start at (0,0), then now you should be at (1,2). Repeat the process to make a straight line.
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hope it helps
Please find the value of 18 - 3x < 10
Answers
Answer:
x > 8/3
Step-by-step explanation:
....................
Answer:
Step-by-step explanation:
18 - 3x < 10
-18 -18
-3x < -8
x = 2 1/3
Please help me out! Last question of the day 4 me!!!
Answers
Answer:
1/3
Step-by-step explanation:
its not 3 bc from a to b its getting smaller
YOU GUYS ARE BEAUTIFUL YOUR WORTH IT!!!!!
Answers
Answer: hahaha tell me something i dont already now hmm
Step-by-step explanation: Imao jp
Solve (x + 3 < 5) U (x - 7 > 1).
{ x | 2 < x < 8}
O/
{ x | x < 2 or x > 8}
Answers
Answer:
{ x | x < 2 or x > 8}
Step-by-step explanation:
Given the expression
(x + 3 < 5) U (x - 7 > 1).
Solve x+3 < 5
Subtract 3 from both sides
x+3 - 3 < 5-3
x < 2
For x - 7 > 1
Add 7 to both sides
x-7+7 > 1 + 7
x > 8
Hence the union of both is { x | x < 2 or x > 8}