PLEASE HELP!! Determine whether the triangles are similar. If similar state how (AA~,SSS~, or SAS~), and write a similarity statement
Answer:
Yes they are similar because of SAS similarity
Step-by-step explanation:
the side lengths are proportional to each other, and the angle in the middle of the sides is the same size, therefore it has Side Angle Side (SAS) similarity.
ΔTSR ~ ΔFEG by the SAS Similarity Theorem
What is the SAS Similarity Theorem?SAS Similarity Theorem states that two triangles with two pairs of proportionate sides and a pair of included angle are similar to each other.
In the image given, the two triangles have:
Two pairs of proportional sides - TS/FG = TR/FE = 3.A pair of congruent included angles - ∠T ≅ ∠F.This means they are similar by the SAS Similarity Theorem.
Therefore, ΔTSR ~ ΔFEG by the SAS Similarity Theorem.
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PLEASE, I NEED HELP ASAP
Answer:
y = 2/x
Step-by-step explanation:
It just feels right... ya know?
Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa. Con la cuarta parte del dinero compró una bolsa de palomitas y le sobraron 5 euros. ¿Con cuánto dinero salió de casa?
Answer:
Héctor salió de su casa con 12 euros.
Step-by-step explanation:
Cuando Héctor gastó en la entrada de cine una tercera parte del dinero con el que salió de casa, tenemos:
[tex] C = \frac{1}{3}x [/tex] (1)
Cuando compró una bolsa de palomitas con la cuarta parte:
[tex] P = \frac{1}{4}x [/tex] (2)
Entonces al sobrarle 5 euros y relacionando las ecuaciones (1) y (2) con el monto inicial:
[tex] x - C - P = 5 [/tex]
[tex] x - \frac{1}{3}x - \frac{1}{4}x = 5 [/tex]
[tex] x = 12 [/tex]
Por lo tanto, Héctor salió de su casa con 12 euros.
Espero que te sea de utilidad!
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
Answer:
starting amount in his savings account
Step-by-step explanation:
Please help it’s due today
Answer:
1/2 is 4/8 and 5/8 is grater than it
Step-by-step explanation:
An altitude ___________ lies outside a triangle. (Please explain)
A. Always
B. Sometimes
C. Never
Answer:
B) Sometimes
Step-by-step explanation:
Determine the equation of the line given by the graph
A) y-3x+2
B) y=3x-2
C) y=1/3x+2
D) y=1/3-2
Answer:
y=3x-2
Step-by-step explanation:
can someone help me please
Answer:
what kinda math is this
Step-by-step explanation:
sorry i cant help
A hotwheels toy car is built in the ratio of 1:64 compared to a full size car. If the full size car is 192 inches long, how long is the hotwheels car?
Answer: 3 inches
Step-by-step explanation: quite simple just divide 192 by 64 since it’s a 1 to 64 scale toy car.
Two hikers are 77 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walks 3.3 mph faster than the other.
The speed of the slow hiker is_____ mph, and the speed of the fast hiker is______ mph.
Answer:The rate of the slower hiker is 2.2 mph and the rate of the faster hiker is 5.5 mph
Explanation:
One hiker walks 3.3 mph faster than the other.
Suppose, the speed of the slower hiker is mph.
So, the speed of the faster hiker will be:
Both hikers are walking toward each other and meet in 10 hours.
We know that,
So, the distance walked by the slower hiker in 10 hours miles and the distance walked by the faster hiker in 10 hours
miles.
Given that, they were 77 miles apart in the beginning. So the equation will be
For what value of k will the points (3,5) and (9,k) represent a proportional relationship?
Answer:
k = 15
Step-by-step explanation:
For a proportional relationship to exist then for both points
k = [tex]\frac{y}{x}[/tex] ← k is the constant of proportion, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{k}{9}[/tex] ( cross- multiply )
3k = 45 ( divide both sides by 3 )
k = 15
The Statue of Liberty is 305 feet tall. The Brooklyn Bridge is 133 feet tall.
How much taller is the Statue of Liberty than the Brooklyn Bridge?
Answer:
172 feet taller .
Step-by-step explanation:
just subtract .
need this, please. real fast
Answer:
y=(-9/5)x-3
Step-by-step explanation:
to find m:substitute -5 in x value,-3 in c value and 6 in y value in the equation y=mx+c.then,rewrite equation by substituting value of m and c
Out of a total of 2,000 boxes, 40% were red. 50% of the red boxes were sold. a. How many red boxes were sold? Answer: _____ b. How many boxes were not red in color? Answer: ______ plz help and teach me how to mark as brainliest so i can do that to people who help me
Answer:
400 red boxes were sold
Step-by-step explanation:
Step 1: Our output value is 2000.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above,2000=100%.
Step 4: Similarly, x=40%.
Step 5: This results in a pair of simple equations:
2000=100%
x=40%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
2000/x = 100%/40%
Step 7: Again, the reciprocal of both sides gives
x/2000 = 40%/100%
x=800
Therefore, 40% of 2000 is 800
and to find 50% just divide by 2
Will give brainliest :)
Answer:
The answer is B because its the same btw i had the same question and got a 100 on the test :)
Step-by-step explanation:
Please help due now
Answer:
Casey's Function has the greater rate of change
Step-by-step explanation:
The graph shows a ROC of 5/1
Get a common denominator (4)
5/1 * 4/4 = 20/4
20/4 > 13/4
Casey's function has a greater ROC.
12) Find the value of x.
which equation is represented by this graph?
A. y = 2/3x - 2
B. y = 2/3x + 3
C. y = 3/2x - 2
D. y = 3/2x + 3
3/2x-2
C. it should be this one
9514 1404 393
Answer:
A. y = 2/3x - 2
Step-by-step explanation:
The line intersects the y-axis at -2, so eliminates choices B and D, which have y-intercepts of +3.
The line has a rise of 2 grid squares for a run of 3 grid squares, so has a slope of ...
m = rise/run = 2/3 . . . . . eliminates choice C
The appropriate choice is the one with a slope of 2/3 and a y-intercept of -2:
A. y = 2/3x - 2
2020 7th grade academic rate of change unit 5 test answers please
What is an equation in point-slope form of the line that passes through (–3, –1) and has a slope of 2?
Answer:
y + 1 = 2(x + 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Slope m = 2
Point (-3, -1)
Step 2: Write Function
Substitute variables into general form.
y + 1 = 2(x + 3)
What is an equation of the line that passes through the point ( − 6 , − 1 ) (−6,−1) and is perpendicular to the line 6 x − y = 7 6x−y=7?
Answer:
y = [tex]-\frac{1}{6}[/tex] x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this = [tex]-\frac{1}{6}[/tex]
The new line will be;
Let find the intercept;
-1 = [tex]-\frac{1}{6}[/tex] x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = [tex]-\frac{1}{6}[/tex] x - 2
− 7 / 8 + ( − 1 / 2 )
Answer:-1.375
Step-by-step explanation:
What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)
Answer:
We validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
Step-by-step explanation:
Given
A (−1, 4)→ A' (3, 3)
Here:
A(-1, 4) is the original pointA'(3, 3) is the image of AWe need to determine which translation operation brings the coordinates of the image A'(3, 3).
If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.
Thue, the rule of the translation will be:
A(x, y) → A' (x+4, y-1)
Let us check whether this translation rule validates the image coordinates.
A (x, y) → A' (x+4, y-1)
Given that A(-1, 4), so
A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)
Therefore, we validate that the formula to determine the translation of the point to its image will be:
A (x, y) → A' (x+4, y-1)
PLEASE HELP ASAP!!!!! I NEED HELP ASAP!!!!!!!
Answer:
The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.
Step-by-step explanation:
According to the figure, we notice that [tex]AB\equiv BC\equiv AC[/tex] and [tex]\angle A \equiv \angle B\equiv \angle C[/tex], concluding that such triangle is equilateral. Since the sum of internal angles within triangle is equal to 180º, then:
[tex]m \angle A = m \angle B = m \angle C = 60^{\circ}[/tex] (1)
If we know that [tex]m\angle A = 6\cdot x[/tex], then the value of [tex]x[/tex] is:
[tex]6\cdot x = 60^{\circ}[/tex]
[tex]x = 10[/tex]
If we know that [tex]AC = 14[/tex] and [tex]AB = y[/tex], then the value of [tex]y[/tex] is:
[tex]y = 14[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.
Answer:
x=10
y=14
Step-by-step explanation:
Ayeee this too lol helppppp
Answer:y=9x-7
Step-by-step explanation:
Answer:
y = 9x - 7
Step-by-step explanation:
Slope-intercept form is y = mx + b
Y-intercept is where x = 0. In this instance, when x = 0, y = -7 (0, -7)
So at this point we know b = -7.
Then, take one of the values of x, such as 1, as well as the corresponding value of y and plug in. When x = 1, y = 2 (1, 2)
2 = m(1) - 7
Solve for m (slope)
2 = m - 7
Add 7 to both sides to get m alone.
9 = m
Now we know the slope, and the y-intercept, so we can fill in the equation for slope-intercept form for this linear function.
y = mx + b
y = (9)x + (-7)
y = 9x - 7
Select all choices that are equal to (-5) - (-12)
Answer: 7 - (-5)+12
Step-by-step explanation: best I can put it
(-5) - (-12) = 7 . Option b,c, and d are correct.
What is subtraction?Subtraction is a mathematical operator which gives diffrence between two numbers.
Given expression is, (-5) - (-12)
= -5 +12
= 7
Absolute difference between -5 and -12 is equal to 7.
And, absolute difference between -12 and -5 is equal to 7.
Also, (-5) + 12 = 7
Hence, expressions with value = 7 are correct.
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Find the slope of the line through each pair of points.
(2, 11), (-8, 13)
Answer:
m = -1/5
Step-by-step explanation:
Slope is - 1/5
Which expression completes the statement to form a true inequality?
3+6²<
(a) 3³+12
(b) 5²+4²
(c) 2³+5²+6
(d)2³+14+17
Answer:b
Step-by-step explanation:
Answer: The answer is 5^2+4^2
Step-by-step explanation:
I know this because i took the test and got a 100%
find the slope of the following 2 points (2,-5), (9,3)
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
The table gives points on a line. What is the equation of the line?
у x
1 3
2 1
3 -1
y = 3x
y = -2x + 5
y = 2x + 1
y = x + 2
Answer:
The answer would be y= -2x + 5
Step-by-step explanation:
If you look at your table you can see a pattern in the Y collum. It's being subtracted by two each time.
A line is a one-dimensional shape that is straight. The equation of the line is y=-2x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is constant.
The slope of the line can be written as,
m = (3-1)/(1-2) = -2
Now, substituting the value of any point in the equation of the line, we will get,
y=-2x+c
1=-2(2)+
1=-4+c
c=5
Hence, the equation of the line is y=-2x+5.
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