The triangles are not similar because their corresponding angles are not congruent to each other.
How to Determine if Two Triangles are Similar?If two triangles are similar, their corresponding angles will be congruent to each other. Therefore, two triangles with congruent angles are either similar or congruent to each other. If they are similar, their corresponding sides will have proportional length.
From the image given, the angles of triangle ABC are:
C = 30
B = 90
A = 180 - 90 - 30 = 60.
Triangle LMN are:
L = 90
M = 55
N = 180 - 55 - 90 = 35
Thus, the corresponding angles are not congruent, therefore, they are not similar.
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8y+4,st = 4y +8 rt=36
The value of y is 2
How to solve for y?The complete question is in the image
From the complete question, we have:
rs + st = rt
This gives
8y + 4 + 4y + 8 = 36
Evaluate the like terms
12y = 24
Divide by 12
y = 2
Hence, the value of y is 2
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Rice is sold at Ghc56.00 per bag of 50kg. A trader bought some bags of rice and paid GHc1,344.00.
How many bags of rice did the trader buy
if 1bag is 56.00
x bags= 1344.00
solution
[tex] \frac{1344.00}{56.00} = 24[/tex]
the trader bought 24 50kg bags of rice
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What prism or other 3-dimensional shape would you use to model the tree trunk below? (Rectangular prism, triangular prism, square prism, or cylinder). If the height of the tree trunk is 13 ft and the radius is 1.5 ft, what is the volume in cubic feet? Round to the nearest tenth.
Answer:
A cylinder,
91.9 ft^3 to nearest tenth.
Step-by-step explanation:
That would be a cylinder,
Volume of the given tree trunk
= π r^2 h
= π * 1.5^2 * 13
= 91.89 ft^3.
I need help
are they no solution or infinite solutions?
I'm getting ready for high school so I'm reviewing 8th grade math.
Answer:
1. No.
2. Yes, there is no solution here.
Step-by-step explanation:
The former:
[tex]8(5x - 3) = 6(-3x - 4); \\ 8 * 5x - 8 * 3 = 6 * (-3x) - 6 * 4; \\ 40x - 24 = -18x - 24; \\ 40x + 18x = -24 + 24; \\ 58x = 0; \\ x = 0.[/tex]
[tex]\{0\}[/tex] is our set of solutions.
The latter:
[tex]3x - 13 = 7(x + 2) - 4(x - 7); \\ 3x - 13 = 7x + 7 * 2 - 4x - 4 * (-7); \\ 3x - 13 = 7x + 14 - 4x + 28; \\ 7x - 4x - 3x = -13 - 14 - 28;\\ 0x = 55; \\ x \in \emptyset.[/tex]
In other words, there is not any solution from the set of real numbers that suits us.
Select all of the options which are examples of expenditure.
Find a in degrees.
a
6
√11
5
? ]°
Round to the nearest hundredth.
Answer:
33.55°
Step-by-step explanation:
let alpha be X
sin x= √11/6
sin x= 0.5527
x= sin-1 0.5527
x= 33.55°
The vertex of the graph of f(x)=|X-3|+6 is located at
The vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
How to determine the vertex?The equation of the function is given as:
f(x) = |x - 3| + 6
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h, k)
By comparison, we have:
Vertex = (3, 6)
Hence, the vertex of the graph of f(x)= |x-3|+6 is located at (3, 6)
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5/7 - 3/2 in simplest form HELP ASAP
[tex] \frac{5}{7} \: - \: \frac{3}{2} [/tex]
First, we find the lowest common denominator which is "14", we put it in the common numerator.[tex] \frac{10 \: - \: 21}{14} [/tex]
We subtract the numbers.[tex] \boxed{ \bold{- \frac{11}{14} }}[/tex]
MissSpanish[tex]\boldsymbol{\sf{\dfrac{5}{7}-\dfrac{3}{2} }}[/tex]
The least common multiple of 7 and 2 is 14. Convert 5/7 and 3/2 to fractions with like denominators.
[tex]\boldsymbol{\sf{ \dfrac{5\times2}{7\times2}-\dfrac{3\times7}{2\times7} \ \ \to \ \ \ Simplify }}[/tex]
[tex]\boldsymbol{\sf{\dfrac{10}{14}-\dfrac{21}{14} }}[/tex]
Since 10/14 and 21/14 have the same denominator, subtract their numerators to subtract them.
[tex]\boldsymbol{\sf{\dfrac{10-21}{14} \ \ \to \ \ \ Subtract}}[/tex]
Subtract 21 from 10 to get −11.
[tex]\red{\boxed{\boldsymbol{\sf{-\frac{11}{14} }}}} \ \ \to \ \ \boldsymbol{\sf{Answer}}[/tex]
{ Pisces04 }What is the perimeter of the rectangle shown below?
Answer: D. 26 units
Step-by-step explanation: perimeter is the distance around the figure, or all the sides added together.
With a rectangle it is known that the opposite sides are congruent, or the same, so 8+8+5+5 = 26
What is the length of the side opposite the 60° angle?
Answer: 90
Step-by-step explanation:
opposite side is 90
Answer:
6√3
Step-by-step explanation:
This is a 30-60-90 triangle meaning that the hypotenuse is 2 times the shorter leg and the leg opposite of the 60-degree angle is √3 times larger than the shorter leg.
6*√3 = 6√3
what is the length of EF?
The length of EF is 3.8
How to solve for EF?To do this, we make use of the following law of sines
EF/sin(D)= DE/sin(F)
So, we have:
EF/sin(75)= 3/sin(50)
This gives
EF = sin(75) * 3/sin(50)
Evaluate the product
EF = 3.8
Hence, the length of EF is 3.8
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How do I do the distribution table and the proccess plss help
Answer + Step-by-step explanation:
p(X=3) = the probability that X is equal to 1 or 2 or 3 minus (the probability that X is equal to 2 plus the probability that X is equal to 1)
Because ,when X = 2 or X = 1 the largest number is not 3 so we have to subtract those values .
……………………………………………………………
the probability that X is equal to 1 or 2 or 3 is :
[tex](\frac{3}{6} )^4 = \frac{81}{1296}[/tex]
Then
[tex]p\left( X=3\right) =\frac{81}{1296} -(\frac{1}{1296} +\frac{15}{1296}) =\frac{65}{1296}\\\\p\left( X=4\right) =\frac{4^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}) =\frac{175}{1296}\\\\p\left( X=5\right) =\frac{5^4}{1296} -(\frac{1}{1296} +\frac{15}{1296}+\frac{65}{1296}+\frac{175}{1296}) =\frac{369}{1296}[/tex]
Verification:
1+15+65+175+369+671 = 1 296
What is the TV's length?
Answer:
32.75 inches
Step-by-step explanation:
Pythagoras' theorem. The long length squared minus the short length squared gives you the answer squared, so square root it :)
What is 78 to the square root closer to
Answer:
The square root of 78 is: 8.8317608663278468547640427269593.
This number is closer to the number 9.
Step-by-step explanation:
Use calculator to find square root. Then round it up.
Hope this helps!
If not, I am sorry.
x + 7 = -9 expressions
Answer:
x = -16Step-by-step explanation:
x + 7 = -9
Subtract 7 from both sides
x + 7 - 7 = -9 - 7
Simplify
x = -16
Answer:
x=-16
Step-by-step explanation:
x+7=-9
x=-9-7
x=-16
The Torrey family was on vacation. One day, they spent $140 for a motel room, $130 for meals, and $200 at a park. How much money did they spend that day?
Answer:
$470
Step-by-step explanation:
Add all the amounts given.
200+140+130=470
They spent $470 that day.
Hope this helps!
If not, I am sorry.
Answer:
470
Step-by-step explanation:
140+130+200= 470
They said that day, which means all together. So we add.
What is the range of f?
Answer: [tex][-3,7][/tex]
Step-by-step explanation:
The range of a function is the set of y-values
Explain when the solution set of an inequality will be the empty set or the set of all real numbers. Show an example of each.
Answer:
There are two cases when the solution set of an inequality will be the empty set or the set of all real numbers.
The first case is when the inequality is always false no matter what value is chosen for the variable. For example, the inequality x > 5 has no solution because there is no value of x that is greater than 5. In this case, the solution set is the empty set.
The second case is when the inequality is always true no matter what value is chosen for the variable. For example, the inequality x > -∞ has infinitely many solutions because there is no value of x that is not greater than -∞. In this case, the solution set is the set of all real numbers.
Step-by-step explanation:
6. (04.05 MC)
Which Inequality matches the graph? (1 point)
-2x+3y>7
2x+3y <7
-3x+2y>7
3x-2y <7
Answer: is D
Step-by-step explanation:
The cost of a gallon of gas increased from $3.54 to $3.87 over the weekend. What is the percent increase for the cost of gas, rounded to the nearest whole percent?
Answer:
9%
Step-by-step explanation:
percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
increase = $3.87 - $3.54 = $0.33 , then
% increase = [tex]\frac{0.33}{3.54}[/tex] × 100% ≈ 9% ( to the nearest whole percent )
Answer:
9 % (rounded to the nearest whole percent)
Step-by-step explanation:
the amount of increase:
3.87 - 3.54 = 0.33
Then
the percent increase for the cost of gas :
[tex]=\frac{0.33}{3.54} \times 100\\\\= 0.093220338983 \times 100\\\\=9.3220338983 \ \%[/tex]
The president of a company create a graph of the price of the company stock over one year he describes the graph as following the price of the stock Rose two about $17 before falling to about three dollars they have only been two periods during which the price of the stock decrease the price of the stock is expected to increase in the long run which graph correctly shows the price of the stock
The price of the stock is expected to increase in the long run correctly describes it and is denoted as option D.
What is a Graph?This is defined as the pictorial representation of date or variables in an organized manner.
From the graph provided , we can infer that after a while the stock began to rise which is the same as it increasing in the long run.
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please help ill give whoever has the best answer the brainliest answer
Answer:
It would be B the distance from the ground to the kite :)
Step-by-step explanation:
The graph shows this situation best out of the other 3 choices!
Have an amazing day!!
Please rate and mark brainliest!!
Lines DE and AB intersect at point C.
Mark this and return
A.
(3
B
(2x+2)
(5x+3)*
E
What is the value of x?
O 12
O 25
O38
O 52
Save and Exit
Next
51:10
Submit
Answer:
25
Step-by-step explanation:
the answer is 25 because I searched it on socratic
BRAINLIEST, URGENT
A ride at an amusement park repeatedly drops riders four times to the bottom of a tower and rises back up one-half the height that it drops each time it reaches the bottom. The ride initially drops riders from a distance of 50.0 meters above the bottom of the tower. What is the ride's maximum height above the bottom of the tower, in meters, between the second and third time it reaches the bottom of the tower?
Answer:
12.5 m
Step-by-step explanation:
1st drop 50 m
2nd drop 50/2 = 25 m
3rd drop 25/2 = 12.5 m
The coordinates of CD are C (-7,-2) and D (-3,-5). Point E is the midpoint of CD. What are the coordinates of the midpoint E?
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let (x, y) represent the coordinate of the midpoint E. Point E is the midpoint of CD, hence:
x = [(-7) + (-3)] / 2 = -5
y = [(-2) + (-5)] / 2 = -3.5
The coordinates of the midpoint of CD with endpoint at C(-7,-2) and D(-3,-5) is E(-5, -3.5)
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Select the correct answer.
What is the value of this expression when a = 2 and b = -3?
a³ - 6³
5
-208
Explanation:
If the complete expression is a³ – 6³
then a³ – 6³ with a being equal to 2 is
(2)³ – (6)³ =
(2 × 2 × 2) – (6 × 6 × 6)
=
(4 × 2) – (36 × 6)
=
(8) – (216)
=
-208
This is done with substitution, just do the arithmetic with 2 in the place of a.
Answer: 7
Step-by-step explanation:
Substitute the given values of a and b into the expression:
(a)3 - (b)3 = (2)3- (3)3
5 5
Then evaluate the expression using the order of operations:
8- (-27) = 35/5
5
= 7
For the following exercises, solve each inequality and write the solution in interval notation.
30. 2| v − 7 | − 4 ≥ 42
Answer:
The solution to the inequality [tex]$2|v-7|-4 \geq 42$[/tex] in interval notation is given by [tex]$-16 \leq v \leq 30$[/tex].
Step-by-step explanation:
An absolute value inequality [tex]$2|v-7|-4 \geq 42$[/tex] is given.
It is required to solve the inequality and write the solution in interval form.
To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.
Step 1 of 4
The given absolute value inequality is [tex]$2|v-7|-4 \geq 42$[/tex].
Add on both 4 sides,
[tex]$$\begin{aligned}&2|v-7|-4 \geq 42 \\&2|v-7|-4+4 \geq 42+4 \\&2|v-7| \geq 46\end{aligned}$$[/tex]
Step 2 of 4
Divide by 2 on both sides,
[tex]$$\begin{aligned}&\frac{2|v-7|}{2} \geq \frac{46}{2} \\&|v-7| \geq 23\end{aligned}$$[/tex]
The inequality can be written as [tex]$v-7 \leq 23$[/tex] and [tex]$v-7 \geq-23$[/tex]
Step 3 of 4
First solve the inequality, [tex]$v-7 \leq 23$[/tex].
Add 7 on both sides,
[tex]$$\begin{aligned}&v-7 \leq 23 \\&v-7+7 \leq 23+7 \\&v \leq 30\end{aligned}$$[/tex]
Step 4 of 4
Solve the inequality [tex]$v-7 \geq-23$[/tex].
Add 7 on both sides,
[tex]$$\begin{aligned}&v-7 \geq-23 \\&v-7+7 \geq-23+7 \\&v \geq-16\end{aligned}$$[/tex]
The solution of the inequality in interval notation is given by [tex]$-16 \leq v \leq 30$[/tex].
The equations in this sytem were added to solve for x. What is the value of x?
-8x+8y=8
3x-8y=-18
-5x =-10
in the given system of equations, the value of x is 2
Simultaneous linear equationFrom the question, we are to determine the value of x
The simplified equation is
-5x = -10
To determine the value of x, we will divide both sides by -5
-5x/-5 = -10/-5
x = 2
Hence, the value of x is 2
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Which of the following are not polynomials?
A. x² +2√x+1
B.x²+x+1
C. 2/3x2+x+1
D. x2+√2x+1
E. x-2+x+1
Answer: A, C, E
Step-by-step explanation:
These are not polynomials because there is one term where the variable has an exponent that is not a positive integer.
Everyday Math
424. House Paint April wants to paint the exterior of her house. One gallon of paint covers about 350 square feet, and the exterior of the house measures approximately 2000 square feet. How many gallons of paint will she have to buy?
Answer:
If the exterior of the house is 2000 square feet and each gallon of paint covers 350 square feet.
Then she needs to buy 6 gallons of paint.
Step-by-step explanation:
Dividing the total area by the area that each gallon of paint covers we get,
[tex]$\frac{2000}{350} \times \frac{50}{50}=\frac{40}{7}$$[/tex]
Now, performing long division we get,
[tex]$7\overset{5}{\overline{\left){\begin{align} & 40 \\ & \underline{35} \\ & \underline{05} \\ \end{align}}\right.}}$$[/tex]
She needs five gallons of paint fully and some amount of the sixth gallon because we get a remainder.
She can't buy paint in fraction, hence she has to buy 6 gallons of paint.