___________________________________________________________
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
___________________________________________________________
___________________________________________________________
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
___________________________________________________________
The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
so, we have,
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Hence, The solution is:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
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When solving the equation 3(x-7)=2-x, the property used in the first step is the...
ill give you brilliant
One mile is about 1.57 kilometers. If you are traveling at 55 miles per hour, what is the best estimate of your speed in kilometers per hour? A. between 50 and 60 kilometers per hour B. between 60 and 70 kilometers per hour C. between 70 and 80 kilometers per hour D. between 80 and 90 kilometers per hour
Figure ABCD is a kite. Find the
value of x.
Answer:
x=5
Step-by-step explanation:
in order for this figure to truly be a kite, AD and AB have to be equal.
So:
4x=x+15
now we must solve the equation:
3x=15
x=5
The value of x for the expression of the sides will be x=5.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that the sides of the given shape of the kites are AB = 4x and AD = x +15. Since the sides are equal the value of x will be calculated as,
In order for this figure to truly be a kite, AD and AB have to be equal.
4x=x+15
Now we must solve the equation:
3x=15
x=5
Hence, the value of x will be 5.
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a discount voucher offering 15% off is used to pay a bill. after using the voucher, the bill is reduced to £36.72.
How much was the bill before applying the voucher discount?
Answer:
hxbcncncncncncn
Step-by-step explanation:
hhjncnnfnf
help plssssssssssssss
An 18 foot ladder rests against a wall. The base of the ladder is 8 feet from the wall. What angle does the
ladder make with the ground?
Answer:
The angle would be acute
Step-by-step explanation:
The angle that this ladder would make with the ground is equal to 63.64°.
How to determine the angle that the ladder make?In order to determine the angle that this ladder would make with the ground, we would apply Cosine trigonometric. Mathematically, this is given by this expression:
Cosθ = Adj/Hyp
Substituting the given parameters into the formula, we have;
Cosθ = 8/18
Cosθ = 0.4444
θ = cos⁻¹ (0.4444)
θ = 63.64°
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PLEASE HELP, I WILL GIVE BRAINLIEST IF ITS RIGHT :)
(03.03 MC)
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
2.
(03.05 HC)
The table below represents the distance of a train from its destination as a function of time:
Time
(hours)
x Distance
(miles)
y
0 665
1 570
2 475
3 380
4 285
Part A: What is the y-intercept of the function, and what does this tell you about the train? (4 points)
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents. (4 points)
Part C: What would be the domain of the function if the train continued to travel at this rate until it reached its destination? (2 points)
(10 points)
3.
(03.06 MC)
Part A: Billy rented a canoe at $14 for 2 hours. If he rents the same canoe for 5 hours, he has to pay a total rent of $29.
Write an equation in the standard form to represent the total rent (y) that Billy has to pay for renting the canoe for x hours. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
9514 1404 393
Answer:
(a) Function f is a proportion, so its slope is y/x = 3. The slope of function g is the x-coefficient, 7. The slope of function g is greater. (b) A proportion has a y-intercept of 0; function g has a y-intercept of 2. The y-intercept of function g is greater.(a) The y-intercept is 665, the initial distance to destination. (b) The train's distance to destination is decreasing at 95 miles per hour. (c) The useful domain of the relation is 0 ≤ x ≤ 7.(a) Standard form equation: 5x -y = -4. (We expect that "slope-intercept" form is desired: y=5x+4.) (b) f(x) = 5x +4. (c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5. Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical). Axes can be numbered in units appropriate to the size of the graph.Step-by-step explanation:
1. (a) The table contains the point (0, 0), and is said to represent a linear function. Consequently, we know that function f is a proportion. Its slope is ...
y/x = 3/1 = 3.
The slope of function g is the x-coefficient, 7. Since 7 > 3, the slope of function g is greater.
(b) As we said, function f has a y-intercept of 0. The y-intercept of function g is the constant in its equation, 2. Since 2 > 0, the y-intercept of function g is greater.
__
2. (a) The y-intercept is the value when x=0, which is 665. That is the train's initial distance to destination.
(b) The average rate of change from x = 1 to x = 4 is ...
m = (285 -570)/(4 -1) = -285/3 = -95 . . . . miles per hour
The train's distance to destination is decreasing at 95 miles per hour.
(c) From part B, we know the train covers 285 miles in 3 hours, so the time to destination will be 3 hours more than 4 hours. (Distance is 285 miles at 4 hours.) The useful domain of the relation is 0 ≤ x ≤ 7.
__
3. We can write the standard form equation using the relation ...
(y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
(29 -14)(x -2) -(5 -2)(y -14) = 0 . . . . . fill in the given points: (2, 14), (5, 29)
15x -30 -3y +42 = 0 . . . . simpify
5x -y = -4 . . . . . divide by 3 and subtract 4
(We wonder if "slope-intercept" form is desired: y=5x+4.)
(b) The above equation can be solved for y (by adding y+4), and "y" replaced by "f(x)". The result is the "functional form" ...
f(x) = 5x +4
(c) The line can be graphed by starting at the y-intercept (0, 4) and drawing a line with slope 5.
Axes will be labeled "Rental Time (hours)" (horizontal) and "Rental Cost (dollars)" (vertical).
Axes can be numbered in units appropriate to the size of the graph. (That will depend on the graph paper or tool used to create the graph.) An example of a graph is attached.
Which ratio is equivalent to the ratio 13:15
Answer:
26:30
Step-by-step explanation:
Mr. Wells tells his class of 24 that when they have completed the assignment, they may play online math games. At the end of class, 40% of the class is playing online math games. Approximately how many students still need to complete their assignment?
Answer:
14
Step-by-step explanation:
60% of 24 need to complete their tasks
this is 6x2.4=12+1.6=13.6 =14
what is the answer?
1/2n-3=5
Answer:
1 if its 5
2n-3 does = 10n-15
Step-by-step explanation:
am i right
hope it helos
Answer:
N= 16
Step-by-step explanation:
1/2 N - 3= 5
1/2 n = 8
n= 16
A brainliest will be rewarded to the best answer!
Which expression has a value of 11?
A. 13 - 5 - 3
B. 1 + (8 x 2)
C. 5 + 2 x (4 - 1)
D. 15 - 1 + (6 ÷ 2)
Answer:
C. 5 + 2 x (4 - 1)
Step-by-step explanation:
5 + 2 x (4 - 1)
*following order of operations*
5 + 2 * 3
5 + 6
= 11
please helloppppppppp
90°+32°=X ( exterior < of a ∆)
90°+32°=X ( exterior < of a ∆) 122°=X
90°+32°=X ( exterior < of a ∆) 122°=XTherefore, X= 122°
I rlly need help
9-3÷1/3+2=?
Answer:
its 10
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
9-3÷1/3+ 2
9-3/ (1/3)+2
∵3/(1/3)= 9
so,
9-9 +2
0+2= 2
If 4 quarts of organic grapes cost $20 how many quarts can you purchase for one dollar
Answer:
4/5 of a quart
Step-by-step explanation:
Set this up as a proportion. First of all we know that 4 quarts of organic grapes cost $20, so 4x = 20. Divide and you get that x = 5 meaning 1 quart equals 5 dollars. Now if we scale this down a bit and divide by 5, we end up with 4/5 of a quart = 1$.
Hope this helped (:
Solve algebraically
-2x + 17 = 11
What is x
Answer:
x=3
Step-by-step explanation:
Final Answer:
x = 3
Solution:
equation: -2x + 17 = 11
Step 1: subtract 17 in both sides
-2x + 17 = 11
-2x + 17 - 17 = 11 - 17
-2x = 11 - 7 (solve for -2x: 11 - 7)
-2x = -6
Step 2: divide -2 in both sides then solve for x.
-2x = -6
-2x -6
____ = ____
-2 -2
(solve for x):
-6
x = ___
-2
x = 3
daily give away today's amount is 100
Answer:
yes yes it is
Step-by-step explanation:
Which pair of functions are inverses of each other?  A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \right)^3}g(x)=( 6 x ) 3  B. f(x) = 10x – 5 and g(x) = \frac{{x + 5}}{{10}}g(x)= 10 x+5 C. f(x) = \frac{4}{x} - 3f(x)= x 4 −3 and g(x) = \frac{{x + 3}}{4}g(x)= 4 x+3 D. f(x) = \frac{x}{8} + 3f(x)= 8 x +3 and g(x) = 8x – 3
Answer:
the answer is B
Step-by-step explanation:
b. A car factory makes 2 red cars for every
7 white cars. If it makes 483 white cars,
how many red cars did it make?
HELP ME
Divide the number of white cars made by it's ratio:
483/7 = 69
Multiply that by the ratio of red cars:
69 x 2 = 138
They made 138 red cars.
Eduardo won 40 pieces of gum playing hoops at the county fair. At school he gave one to every student in his math class. He only has 13 remaining. How many did he give away?
For a summer reading program, you are asked to read 3 books from a list of 8 book. how many different groups of 3 books can you read?
A _____ equation is an equation whose graph is a straight line. answer for me please! worth 15 points!!!
Answer:
Linear function
Step-by-step explanation:
no trolls i need help asap please!!!
Answer:
These triangles cannot be proven congruent
Step-by-step explanation:
The 3 angles in ∆FGH are congruent to the 3 corresponding angles on ∆ABC.
These mean that the two triangles have the same shape and we can conclude that they are similar to each other.
However, knowing just the 3 angles is not enough to prove that both triangles are congruent to each other. This is because, for two triangles to be congruent to each other, all 3 angles and 3 sides of one triangle must be congruent to the corresponding 3 angles and 3 sides of the other. That is, they have the same shape and size.
Therefore, the triangles given above cannot be proven congruent.
whats 4 x 1/8 in simplest form
Answer:
The simplest form of 48 is 12.
Step-by-step explanation:
hope that helps :)
The simplest form of the expression 4 x 1/8 will be 1 / 2.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that there are two numbers 4 and 1 / 8 multiplied by each other.
The solution of the expression 4 x 1/8 will be:-
E = 4 x ( 1 / 8 )
E = 4 / 8
E = 1 / 2
Therefore, the simplest form of the expression 4 x 1/8 will be 1 / 2.
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Impossible Math Question [ IF YOU GET THIS RIGHT YOU ARE A GENIUS }
need the answer please thank you!
Answer:
Step-by-step explanation:
The total number of marbles is 17
Red
6/17 is the answer. As a decimal, that's .3529
Green
11/17 is the answer. As a decimal that's .6471
Purple
Since there are no purples, the answer is 0
Red or Green
This one is a little tricky.
What else is there besides red or green? Nothing. You have to choose 1 or the other.
The answer is 1.
Higher Order Thinking Raul wants to put wood shavings in his rabbit’s cage. The floor of the cage measures 1 yard wide by 5 feet long. One bag of shavings covers 10 square feet.
How many bags will Raul have to buy to cover the floor of the cage? Explain
Answer:
2
Step-by-step explanation:
3x5=15
There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer sequences for the six questions.
Answer:
[tex]Possible\ Answers = 4096[/tex]
Step-by-step explanation:
Given
[tex]Questions = 6[/tex]
[tex]Options = 4[/tex] each
Required
Determine the number of possible answers
The first question has 4 possible answers
The second has 4 possible answers
The third has 4 possible answers
The fourth question has 4 possible answers
The fifth has 4 possible answers
The sixth question has 4 possible answers
[tex]Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4[/tex]
[tex]Possible\ Answers = 4^6[/tex]
[tex]Possible\ Answers = 4096[/tex]
plz help me i beg of u?
If a right triangle has sides of length 3 and 6, what is the length of the hypotenuse?
Answer:
Length of the hypotenuse = 3√5 units
Step-by-step explanation:
Given:
Right triangle sides
a = 3
b = 6
Find:
Length of the hypotenuse
Computation:
Length of the hypotenuse = √a² + b²
Length of the hypotenuse = √3² + 6²
Length of the hypotenuse = √9 + 36
Length of the hypotenuse = √45
Length of the hypotenuse = 3√5 units
Alecia earned 48 points on the first quiz and 45 points on the second quiz. What's the percent decrease in her quiz score ?
Answer:
is the 48 and 45 points out of 100?
Answer:
93%is the answer to this question its 93% percent (tell me if its wrong)