Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answers
Answer:
Step-by-step explanation:
C
The theorem that applies is Similar SAS.
The correct option is C.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given information:
SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.
From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.
To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:
SM/ DL = 27/9 = 3
MA/LE = 15/5 = 3
Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.
Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
The answer is (C) Similar - SAS.
To learn more about similar triangles;
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Related Questions
Help with the his question
Answers
Answer:
The variable is b books and the equation is gonna be 12b + 16 = 120
Step-by-step explanation:
In a recipe, for every 3/4 cup of flour, 1/3 cup of sugar is needed. How many cups of sugar are needed for 1 cup of flour? (Leave your answer in fraction form).
Answers
Answer:
1/9 cup of sugar for every 1/4 cup of flour
Step-by-step explanation: Turn the 1/3 into 3/9 and I'm sure you can figure it out from there.
plz help i need help im failing
Answers
Answer: It is D
Step-by-step explanation:
It is the 4th table
For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.
what's a Number line ?
Answers
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
-21+(-59) what is the answer
Answers
Answer:
-80
Step-by-step explanation:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by ℎ = −16푡 ଶ+103푡+5 where t is time (in seconds).
Answers
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Which statement correctly compares the function shown on the graph wih the function y=5x + 5
Answers
Answer:
C the function on the graph has the same rate of change, but a lower starting point
Step-by-step explanation:
they both have the slope of 5, and the graph's y-intercept is -6. -6<5.
Answer:
I would say C. The function shown on the graph has the same rate of change but a lower starting points.
Step-by-step explanation:
I said C because if you look at the slope in the equation which is 5x and look at where the line intercepts the Y axis you can see that the rise if 5 (going up) and the run (going over) is 1 and that gives you the next point. But the 5 in the equation is higher than the starting point on the Y axis so that's why I chose the one that said the lower starting point.
hope this helps.
Find the length of arc AB. Use 3.14 for T,
Round to the nearest tenth.
20
1 ? ]cm
Please help
Answers
Answer:
12.4 cm
Step-by-step explanation:
Length of an arc AB = [tex] \frac{\theta}{360} \times 2 \pi r [/tex]
Where,
[tex] \theta = 90 [/tex]
[tex] \pi = 90 [/tex]
r = 7.9 cm
Plug in the values
Length of an arc AB = [tex] \frac{90}{360} \times 2 \times 3.14 \times 7.9 [/tex]
[tex] = \frac{90 \times 2 \times 3.14 \times 7.9}{360} [/tex]
Length of an arc AB = 12.4 cm (nearest tenth)
Answer:
Step-by-step explanation:
answer is 12.4cm !
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. How tall is the building?
Answers
Answer:
17.5 meters
Step-by-step explanation
I included an illustration of what they are asking for.
Notice, since the light of the sun is coming from the same place, the shadow angles relative to the ground, X and Z, will be the same. So the triangles formed are similarUse SOH CAH TOA to find the angle Z This just means when you have an angle in a right triangle, in order to know whether to use Cosine, Sine or Tangent, look at what sides you haveWe have the sides opposite (O) and adjacent (A) to angle Z, so we tangent (T)[tex]\tan (Z)=\frac{O}{A}\\\tan (Z)=\frac{10m}{8m}=1.25[/tex] Now since angle Z equals X, they have the same tangent valueSo we can use that to find the building height, which it the opposite (O)Don't forget to use the new adjacent 14m[tex]\tan (X)=\frac{O}{A}\\1.25=\frac{O}{14m}\\O=(1.25)(14m)\\O=17.5m[/tex]GMM
The numbers are
36
X
And 46 degrees
Answers
Answer:
45
Step-by-step explanation:
just had that q and sumbitted my quiziz and got it correct
Please help! thanks !!!!
Answers
Answer:
I believe that D is the answer.
Step-by-step explanation:
The Y and X axis goes up by 1/8, so the Y value is 5/8 and the X value is -1/4.
(For the X axis, you need to simplify.)
An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?
Answers
Answer:
10 minutes!
Step-by-step explanation:
140 * 10(min) = 1,400
4000 - 1,400 = 2,600 ft
so will take 10 minutes for the plane to descend 1,400 ft
Answer:
10 minutes
Step-by-step explanation:
in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10
You are selling candy bars for a fundraiser. you want to sell at least $200. If snickers cost $2 per bar and M&M's cost $3 per bag, then write an inequality that represents all the possible combinations you can sell to meet your goal.
Answers
Answer:
Step-by-step explanation:
Goal = > $2500
Amount raised = $700
Amount needed to raise = $2500 - 700 = $1800
Number of candy bars needed = x
Price of a candy bar = $1.50
1.5x > 1800
x > 1800 ÷ 1.5
x > 1200
Answer: They need to sell more than 1200 candy bars.
solve for x.
2/3x = 10
Answers
Answer:
x=15
Step-by-step explanation:
2/3x = 10
To find x divide both sides by 2/3.
2/3x÷2/3 = 10÷2/3
x=15
Easy!! :3
Answer~x = 15
Steps~(2/3)*x = 10 // - 10
(2/3)*x-10 = 0
2/3*x-10 = 0 // + 10
2/3*x = 10 // : 2/3
x = 10/2/3
x = 15
------------------------------------------------------------------------Hope i helped!!
Have a great day!!
( `w`)``
Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?
Answers
Answer:
40
Step-by-step explanation:
35/40 in percentage is 87.5%
what's the pagathorium theorem
Answers
Answer:
c=a2+b2
Step-by-step explanation:
Find the value of x.
The side opposite the right angle is the side labelled x. ...
x=√100=10.
Maybe you remember that in an equation like this, x could also be –10, since –10 squared is also 100. ...
Find the value of y.
y=√80=√16×5=4√5.
x=√17.45≈4.18 miles.
Answer:
thats the formula
a^2 + b^2 = c^2
Step-by-step explanation:
a = side of the right angle/adjacent side
b = side of the right triangle/opposite side
c= hypotenuse
A cube with a volume of 75 cm is dilated bya factor of 5.
What is the volume of the dilated cube?
Enter yOur answer in the box
cm
Answers
Answer:
The volume of the dilated cube is 9375cm³. The volume of the original cube is 75 cm³. The scale factor for the dilation is 5. We multiply the volume of the original cube by 125 to obtain the volume of the dilated cube.
Step-by-step explanation: If thats
not right, then i am sorry, i am just getting started
A city Carnival has an entry fee of $15. Each Carnival ride cost $7.50. Write a Linear Equation that can be used to solve for total spend at the Carnival. In the form y = mx + b
Answers
Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.
The line perpendicular to y =
6
5
x + 2 that passes through (6, −2).
The equation of the line that passes through (6, −2) is y = .
Answers
Thanks to who ever helped me with this question!
Answers
Answer:
61
Step-by-step explanation:
a triangles angles equal 180 so 180-10-19-90 = 61
Answer:
-9
Step-by-step explanation:
Since the opposite angles of both sides are congruent we know that the sides must be congruent also. Therefore, to solve for x we can set them equal to each other.
So the equation will be x+19=10, to solve we must isolate the variable.
First, subtract 19 from both sides
x+19-19=10-19
Then, simplify
x=-9
2x + y = 7 3x -2y = -7 solve by substitution
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5)
Equation Form:
x = 1, y = 5
Brainliest Please!!
The solution for the given equations: x = 1 , y = 5.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given, equations
2x + y = 7 -------(a)
3x -2y = -7 -------(b)
Taking equation (a)
2x + y =7
y = 7 - 2x ------(c)
Substituting value of y in equation (b) from equation (c)
3x - 2(7 - 2x) = -7
3x - 14 + 4x = -7
7x = 7
x = 1
Putting value of x in equation (c)
y = 7 - 2 (1)
y = 5
Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.
Learn more about substitution method here:
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What are all the zeros of the polynomial
y= -x^3 -3x^2 +6x +8
In synthetic division
Answers
Answer:
x=2, -4, -1
Step-by-step explanation:
-x³-3x²+6x+8=0
Multiply entire equation by -1:
x³+3x²-6x-8=0
Since x=2 is a solution, then x-2 must be a factor. Then:
x³+3x²-6x-8/x-2=x²+5x+4
x²+5x+4=0
Factor this:
x²+5x+4=(x+4)(x+1)=0
x=-4, -1
x=2, -4, -1
Which is equal to K-L ?
Answers
Answer:7 -3
6 0
13-6=7
7-10=-3
25-19=6
18-18=0
Step-by-step explanation:
Answer:
third option from the top
Step-by-step explanation:
7. -3
6. 0
Select all the true statements.
- 1.9 is to the left of -1.48.
-1.9 is to the right of -1.48.
1.9 is closer to 0.
-1.48 is closer to 0.
-1.48 is less than – 1.9.
-1.48 is greater than -1.9.
Answers
Answer:
-1.9 is to the left of -1.48.
-1.48 is closer to 0.
-1.48 is greater than -1.9.
Answer:
statements 1,4,5
Step-by-step explanation:
How much would the painting company charge to paint a house that needs 20
hours of labor? A house that needs 50 hours?
Answers
Answer:
It depends how much they get paid which is 20 dollors
Step-by-step explanation:
SO THE ANSWER IS 20
Simplify as far as possible.
√
18
−
√
2
Answers
Answer:
3
Step-by-step explanation:
√18 / √2 = √(9x2) / √2 = 3√2 / √2 = 3
A restaurant customer left $ as a tip. The tax was and the tip was % of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answers
Complete question :
A restaurant customer left $0.90 as a tip. The tax was 8% and the tip was 10% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill?
Answer:
The tax percentage
9.9
Step-by-step explanation:
Guven that :
Amount of tip left = 0.90
Tip left = 10% of after tax cost
Tax % = 8%
If tip left = 10% of after tax cost; then ;
If after tax cost = x
10% of x = 0.90
0.1x = 0.9
Hence the percentage tax isn't needed :
To obtain the total bill:
Let total bill = y
y = after tax cost and tip
Hence,
y = x + tip
y = x + 0.9
From : 0.1x = 0.9 ; x = 0.9/0.1 = 9
Hence,
Total bill:
y = 9 + 0.9
y = 9.9
What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)
Answers
First, we will use elimination to solve for y.
[tex]5x = -30 + 5y\\20y = 105 + 5x\\\\5x - 5y = -30\\-5x + 20y = 105\\\\15y = 75\\\\y = 5[/tex]
Now, we will use what we got for y to solve for x.
[tex]5x = -30 + 5(5)\\\\5x = -30 + 25\\\\5x = -5\\\\x = -1[/tex]
Solution:
[tex](-1, 5)[/tex]
A real estate agent earns a 2% commission on each home that he sells. What is his commission if he sells a home worth $1,000,000?
Answers
=2/100*$1,000,000
=$20,000
Merritt is driving to Mount Shasta. On her map, she is a distance of 7 inches away. The scale of the map is 2 inches is to 50 miles. How far must Merritt travel to reach her destination?
Answers
Answer:
7 inches on the map is 175 miles.
Step-by-step explanation:
2 inches equals 50 miles. Use 50 divided by 2 to find the 1-inch scale which is 1:25 ( one inch to 25 miles)