Answer:
30cm
Step-by-step explanation:
Because of the polygon similarity postulate (PSP) 8/12=20/x
8/12=20/x
20/(8/12)=x
20*12/8=x
x=30 cm
The length of side x is 30 cm when the shapes below are mathematically similar.
To calculate the length of side x, we can use the concept of similarity between the shapes. When two shapes are mathematically similar, their corresponding sides are proportional.
8 cm corresponds to 20 cm
12 cm corresponds to x (unknown)
Using the concept of proportionality, we can set up the following equation:
(8 cm) / (20 cm) = (12 cm) / (x)
To find x, we can solve this equation:
Cross-multiplying:
8 cm * x = 20 cm * 12 cm
Simplifying:
8x = 240 cm²
Dividing both sides by 8 to isolate x:
x = 240 cm²/ 8
x = 30 cm
Therefore, the length of side x is 30 cm.
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You start at (-1,5). You move down 7 units. Where do you end?
Answer:
(-1,-2)
Step-by-step explanation:
(x,y)
Left to right = Change in x value
Left = Negative x Movement
Right = Positive x Movement
Up and Down = Change in y value
Up = Positive y Movement
Down = Negative y Movement
if x = -1, y = 5
5 - 7 = -2.
Simplify 1/2 (8x + 6) + (3x -2)
Answer:
Simplified
Step-by-step explanation:
1
--------------
19x +10
Answer:
7x+1
Step-by-step explanation:
1/2 (8x+6) + (3x-2)
distribute the 1/2 into (8x+6) --- ( just means to divide by 2)
4x+3 + (3x-2)
then put common terms together
4x + 3x = 7x
+3 -2 = 1
= 7x + 1
There are 24 cans of soda arranged in 4 rows of 6 cans each. Each can is a
cylinder with a radius of 4 cm and a height of 15 cm. These cans are to be packed
snuggly into a rectangular prism case with no extra space on the top, bottom, or
sides. Determine the volume, in cubic centimeters, of the case (rectangular prism).
Answer:
23,040 cm^3.
Step-by-step explanation:
The case will be 6 * diameter of a can in length,
= 6* 8= 48 cm.
The width will be 4 * 8 = 32 cm.
The height = height of each can
= 15 cm.
So the volume of the case = 15*32*48
= 23,040 cm^3.
Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary
*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
Given
\qquad m \angle ABD = 70^\circm∠ABD=70
∘
m, angle, A, B, D, equals, 70, degrees
\qquad m \angle CBD = 5x + 13^\circm∠CBD=5x+13
∘
m, angle, C, B, D, equals, 5, x, plus, 13, degrees
\qquad m \angle ABC = 3x + 33^\circm∠ABC=3x+33
∘
m, angle, A, B, C, equals, 3, x, plus, 33, degrees
Find m\angle ABCm∠ABCm, angle, A, B, C:
Answer:
42
Step-by-step explanation:
khanacademy
The measure of angle ABC by the given data is 57 degrees.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
∠ABD=70∘
Now,
To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:
m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180
To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:
Step 1: Combine like terms on both sides of the equation.
70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180
Step 2: Subtract 116 from both sides of the equation.
8x + 116 - 116 = 180 - 116 8x = 64
Step 3: Divide both sides by 8 to get x by itself.
8x / 8 = 64 / 8 x = 8
Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:
m∠ABC = 3x + 33 m∠ABC
= 3(8) + 33 m∠ABC
= 24 + 33 m∠ABC = 57
Therefore, by algebra the answer will be 57 degrees.
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Simplify the following expression: 1 2 ( 18 t ) + 2 t ( 9 ) − 12 .
Answer:
Hi! The answer to your question is 234t-12
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Answer:
234t - 12
Step-by-step explanation:
12(18t) + 2t (9) - 12
12× 18t + 2t × 9 - 12
216t + 18t - 12
234t - 12
2) What x value makes the exponential function greater than the
quadratic function?
A)X = -2
B)x = 0
X = 2
D) =4
Answer:
The answer is b
Step-by-step explanation:
X= 0 makes the exponential function greater than the quadratic function. Therefore, the correct option is option B.
What is exponential function?The mathematical symbol for the exponent is [tex]e^{X}[/tex]. The word, unless specifically stated differently, generally relates to the positive-valued functional of something like a real variable, though it can be extended towards the complex numbers or adapted to other mathematical like matrices or Lie algebras.
The idea of exponentiation is where the exponential function got its start, although recent definitions allow for a rigorous extension to all real arguments, especially irrational values. X= 0 makes the exponential function greater than the quadratic function.
Therefore, the correct option is option B.
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Find the quotient and simplify 2 1/5 divided by 12
Answer:
11/60
Step-by-step explanation:
hope this helped:)
write 6 ratinol numbers between - 3 and - 4
Answer:
-3.1, -3.2, -3.3, -3.4, -3.5, -3.6
Step-by-step explanation:
4, 2, 4, 1, 1, 2, 2, 3, 0, 2, 1, 1, 4, 2, 5, 2, 1, 1, 0, 2, 2 Given the data points above, find the mean
Answer:
The mean of the data points is 2.
Step-by-step explanation:
The mean of data is all data point values added together and divided by the number of data points, or the average of all data points. All the numbers above added together is 42, and there are 21 data points, which means the mean of the data is [tex]\frac{42}{21}[/tex] or 2.
Answer:
2
Step-by-step explanation:
Add all the numbers up then divide by how many number there are to find the mean
4 + 2 + 4 +1+ 1+2+2+3+ 0+ 2+ 1+1+4 +2+5+2+1+1+0+ 2+2 =42
42 divided by 21= 2
Cash Orcheck had a balance of $867 in his checking account on
January 1. During January, Cash wrote checks for the following
amounts: $98. $456, $29, and $381. What was his balance at the
end of January?
Answer:
Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.
98+456+29+381= 964
867-964= -97
His final balance would be -97
Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.
So here are the two options
1) At least one or at most 2 checks must’ve bounced
2) He got more money in his checking account
im struggling on this problem i need help if you know (-x+3)-(x-5) PLEASE show THE WORK
(15 points!) What is the m
EG is parallel to FH and AD is the transversal.
We know that the interior angles on the same side of the transversal are supplementary.
Angle EBC and Angle FCB are interior angles on the same side of the transversal.
So, Angle EBC + Angle FCB = 180°
=> Angle EBC + 76° = 180°
=> Angle EBC = 180° - 76°
=> Angle EBC = 104°.
Answer — 104°
HELP WILL MARK BRAINLIEST
Answer:
Volume = 12
Step-by-step explanation:
Answer:
12cm³
Step-by-step explanation:
L=3cm
W=2cm
H=2cm
Volume=L*W*H
Volume =3*2*2
=12 cm³
What is the equation of the line that passes through the point (-4, 2) and has a
slope of 1?
Answer:
y = x + 6
Step-by-step explanation:
Given:
Passes through (-4, 2)
m = 1
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = 1(x + 4)
y - 2 = x + 4
y = x + 6
Look out for links that say b i t.l y. Also please answer my question
Answer:I would say 12 I think
Step-by-step explanation:
Answer: 21.5 inches is the correct answer.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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A square is drawn on a coordinate plane with two vertices at (0,1) and (4,1)
Answer:
C. (0, -3) and (4, -3)
Step-by-step explanation:
Since (0, 1) and (4, 1) are 4 spaces apart, and the shape to be drawn is a square, each point has to be 4 spaces apart as well.
Hope this helps.
Fred wants to put a carpet in this room. The carpet costs $15.00 a square yard, how much would it cost for a 3 ft by 6 feet by 9ft by 12 ft
Solution :
Cost of carpeting per square yard = $ 15.00
For 3 ft by 6 ft
1 yard = 3 feet
∴ 1 feet = [tex]$\frac{1}{3}$[/tex] yard
So,
Therefore, area of 3 ft by 6 ft is = [tex]$3 \times \frac{1}{3} \times 6 \times \frac{1}{3} $[/tex]
= 1 x 2
= 2 square yard
Therefore, cost of carpeting 2 square yard = 2 x 15
= $ 30
For 9 ft by 12 ft
1 yard = 3 feet
∴ 1 feet = [tex]$\frac{1}{3}$[/tex] yard
So,
Therefore, area of 9 ft by 12 ft is = [tex]$9 \times \frac{1}{3} \times 12 \times \frac{1}{3} $[/tex]
= 3 x 4
= 12 square yard
Therefore, cost of carpeting 2 square yard = 12 x 15
= $ 180
what is 2x + 20 + 2x = 60
Answer:
= 1 0
Step-by-step explanation:
Solve
1. Combine like terms
2 + 2 0 + 2 = 6 0
4 + 2 0 = 6 0
2. Subtract 20 from both sides of the equation
4 + 2 0 = 6 0
4 + 2 0 − 2 0 = 6 0 − 2 0
3. Simplify
Subtract the numbers4 + 2 0 − 2 0 = 6 0 − 2 0
4 = 6 0 − 2 0
Subtract the numbers4 = 6 0 − 2 0
4 = 4 0
4. Divide both sides of the equation by the same term
4x = 40
4x/4 = 40/4
5. Simplify
Cancel terms that are in both the numerator and denominator4x/4 = 40/4
x = 40/4
Divide the numbersx = 40/4
x = 10
HELP??!?????!??!?!???
I need help pls!!! I have 4 minutes left to answer these
Answer:
its 3/5 so you just add the numerator to the numerator and add the denominator to the denominator.
Answer:
7/6 is the answer
Step-by-step explanation:
=(1/2+2/3)
taking L.C.M
= (3+4)/6
=7/6
PLS HELP I GIVE BRAINLEST IF U HELP
Step-by-step explanation:
mark me brainliest.........
25/2 of 40kg please help
[tex] \bf \huge 500 \: k.g[/tex]
Step-by-step explanation:
Given that:25/2 of 40 k.gTo find:simplify Explanation:⟼ 25/2 of 40 k.g
⟼ [tex]\cancel{25/2}[/tex] × 40 k.g
⟼ 12•5 × 40 k.g
⟼ 500 k.g
∴ 25/2 × 40 k.g = 500 k.g
Hence simplified ☑️Answer:
500kg
Step-by-step explanation:
as we know "OF" in mathematics means to multiply, so you have two ways
FIRST WAY:
Simplify 25/2 x 40so it will be 25 x 20 and answer will be = 500SECOND WAY:
25/2 x 40 = 1000/2 simplify= 500i hope its clear
find the interest earned:
$11,500 for 3.5 years at 7.25% annual simple interest
Answer:
Future Value, using...
Simple Interest: $
14,418.13
Annually Compounded Interest: $
14,692.25
Step-by-step explanation:
please hurry. only answer if you know the answer. thank you! <3
Below is the graph of the equation y=|x+2|-1. Use this graph to find all values of x such that
y>0
y<0
y=0
Please Help I will award the brainiest
Answer:
y>0, -3>x> -1
y<0, -3<x<-1
y = 0, x = -3 and x = -1
Step-by-step explanation:
Answer:
Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.
Have a good day!
My sister is crying because this is the only thing that can get her grade up I tried to help but it isn’t making any sense so plz help. X(x-5)(2x+1)=0
Answer:
it make sense
Step-by-step explanation:
(X is another 2)
x-5=3
2x+1=5
we're gonna barrow 5 from the first question and get the answer in the second question
so..
5-5=0
hope it helps
someone please please help me with this !
Answer:
551.8 feet
Step-by-step explanation:
We are given
Adjacent = 1300 feet
Opposite = x
Angle = 23°
We solve using the trigonometric function Tangent
tan θ = Opposite/Adjacent
tan 23 = x/1300 feet
Cross Multiply
x = tan 23 × 1300 feet
x = 551.81726107 feet
Approximately = 551.8 feet
The Length of the building = 551.8 feet
Find the measure of missing angles
B is 20 degrees, c is 160 degrees.
A straight line is 180 degrees, but because there are 2 lines, they cut into each-other causing there to be 4 angles, 2 pairs of the same amount, let the known angle be angle A.
Angle A and angle B are the same, Angle A is 20 degrees meaning that angle B is 20 degrees, leaving 160 degrees to be what c equals
Angle B= 20 degrees
Angle C= 160 degrees
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Answer:
a.Step-by-step explanation:
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Answer:
A. (7, -6)
Step-by-step explanation:
While I am sure there is some kind of formula to use, I don't know it. I drew A and C on graph paper, then plotted the points here to see what would connect to form an isosceles triangle.