Answers
We want to see which pair of triangles is equivalent by the Angle-Angle-Side criteria.
The correct option is 2, where we have two equal angles, and the bottom side is equal in both triangles.
The Angle-Angle-Side criteria means that if two triangles have an equal side, and the two correspondent angles also are equal, then these triangles are equivalent.
So we just need to see (by notation, not by how the triangles look like) in which ones we have two equal angles and one equal side.
That one is the second pair of triangles.
We can see that the two top angles are equal (two curves) and that the left angle in the left triangle is equal to the right angle on the other triangle (so we have two equal angles).
Also, the bottom side is equal on both triangles.
Then the angle-angle-side criteria is meet, meaning that these two triangles are equivalent.
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Related Questions
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answers
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
3x+2y=8
5x+2y=12
what is the solution of the system of equations shown above?
Answers
The value of x=2 and y=1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
3x+2y=8
5x+2y=12
Now, solving both using method of Elimination Method
3x - 5x = 8-12
-2x= -4
x = -4/ -2
x= 2
and, 3x+ 2y = 8
3(2) + 2y = 8
6 + 2y = 8
2y = 8-6
2y = 2
y = 2/2
y= 1
Hence, the value of x=2 and y=1.
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Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answers
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
A 2-column table with 4 rows. Column 1 is labeled Store with entries A, B, C, D. Column 2 is labeled Advertised Bread Prices with entries 3 loaves for 5 dollars and 94 cents, 4 loaves for 7 dollars and 80 cents, 5 loaves for 10 dollars and 5 cents, 6 loaves for 12 dollars and 12 cents.
Camillo is making gourmet peanut butter and jelly sandwiches for a food challenge.
PLS HELP ASAP!!What is the unit price of a loaf of bread at each store?
Store A:
Store B:
Store C:
Store D:
Answers
Answer:
Store A:
✔ $1.98 per loaf
Store B:
✔ $1.95 per loaf
Store C:
✔ $2.01 per loaf
Store D:
✔ $2.02 per loaf
Step-by-step explanation:
In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?
Answers
Given:
Consider the below figure attached with this question.
[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].
To find:
The measure of angle 3.
Solution:
From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.
We know that, vertically opposite angles are always equal. So,
[tex]m\angle 3=m\angle 4[/tex]
[tex](x+30)^\circ=(2x-80)^\circ[/tex]
[tex]x+30=2x-80[/tex]
[tex]x-2x=-30-80[/tex]
[tex]-x=-110[/tex]
[tex]x=110[/tex]
Now,
[tex]m\angle 3=(110+30)^\circ[/tex]
[tex]m\angle 3=140^\circ[/tex]
Therefore, the measure of angle 3 is 140 degrees.
2. If 5x + 8 = 4, then 3x = ?
please answer guys
Answers
5x = -4
x = -4/5
3(-4/5) = -2.4
Solution: 3x = -2.4
Answer:
3x = -2 2/5 or -2.4
Step-by-step explanation:
5x + 8 = 4
5x = 4 - 8
5x = -4
x = -4/5
3x = y If x = -4/5
3 * -4/5 = y
-12/5 = y
-2 2/5 = y
A school district is planning on buying new desks for its classrooms. Each secondary classroom is to have 5 more desks than an elementary classroom. For 20 elementary classrooms and 25 secondary classrooms, a total of 1,115 desks are needed.
How many desks are to be in each secondary classroom?
Answers
Answer:
27
Step-by-step explanation:
7) Mr. M can run a mile in 9 minutes. Assuming he can keep that pace, how 2 points
long would it take him to run a 12 km race? Imi-1,61km 1km=0,62mi Round
to the nearest whole minute (calculators permitted)
about 108 minutes
about 67 minutes
about 21 pinutes
about 9 minutes
HELP URGENT PLSSS
Answers
Answer:
I would say about 67 minutes
Solve the system of equations y = -2x - 9 and -x + 3y = 8 using the substitution method.
Answers
Answer: (-5,1)
Step-by-step explanation: Explanation in picture.
You draw one card from a standard 52-card
deck. In how many ways could the card be a
face card or a red card?
Answers
Answer:
23%
Step-by-step explanation:
There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits). The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%.
3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?
А. 7 B. 9 C. 18 D. 25
Answers
Answer:
B.9
Step-by-step explanation:
What I did is I used ratio.
20:12
15:X
Cross multiply:15x12
Answer:180
The answer you get divided by 20.
180/20=9.
Answer:
B
Step-by-step explanation:
Given y varies directly as x, then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition when x = 20, y = 12, then
12 = 20k ( divide both sides by 20 )
k = [tex]\frac{12}{20}[/tex] = [tex]\frac{3}{5}[/tex]
y = [tex]\frac{3}{5}[/tex] x ← equation of variation
When x = 15, then
y = [tex]\frac{3}{5}[/tex] × 15 = 9
These are function questions
please give answers with working thank you
1.It is given that h(x) = 2x − 5. Find h(4)
2.It is given that f(x) = 5x + 2. Find f –1(-3).
Answers
Answer:
h(4) = 3
f-1(-3) = - 1
Step-by-step explanation:
One
h(x) = 2x - 5
h(4) = 2*4 - 5
h(4) = 8 - 5
h(4) = 3
Two
Let y = f(x)
y = 5x + 2 Interchange x and y
x = 5y + 2 Subtract 2 from both sides
(x - 2) = 5y Divide by 5
(x - 2)/5 = y
but y = f'(x)
so f(x) = (x - 2)/5
f-1(-3) = (-3 - 2) / 5
f-1(-3) = -5/5
f-1(-3) = - 1
which of the following graphs represents a function?
Answers
Answer: you didnt post graphs to look at
Step-by-step explanation:
Just help me pls and thank u
Answers
Keep: 7
Change: division to multiplication
Flip: 9/5 to 5/9
What is 56/8 ? please answer this!
Answers
Answer:
7
Step-by-step explanation:
i really need help- eeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
-2, -5, 2, then 5
Step-by-step explanation:
Answer:
-5, -2, 2, 5
two angles from a linear pair. the measure of one angle is 2/3
Answers
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
Need help thank you very much
Answers
Answer:
The answer to the question provided is
[tex] \frac{5}{24} [/tex]
Answer:
5/24
Step-by-step explanation:
0.21 is the decimal form
A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answers
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
A gym membership costs $25 to join, plus a $12 monthly fee. If Adam has spent $133 on his gym membership this year, for how many months has he been a member?
Answers
Answer:
HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(
Step-by-step explanation:
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Answers
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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Carmen is admiring a statue in Weston Park from 14 feet away. If the distance between the
top of the statue to Carmen's head is 50 feet, how much taller is the statue than Carmen?
feet
Submit
Work it out
Not feeling ready yet? These can help:
Answers
Answer: 36?
It's too short. Write at least 20 characters to explain it well.
Andy found these used car prices in the newspaper
Answers
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
473 heartbeats in 5 1/2 minutes
Answers
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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y=2x-6
slope?
y- intercept?
Answers
Answer:
The slope is 2/1 and the y-intercept is -6.
Step-by-step explanation:
With the y=mx+b formula, m is the slope and b is the intercept.
Answer: -6
Step-by-step explanation:
The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and -109
Answers
Answer:
-2 and 109
Step-by-step explanation:
just put that
Answer 2 and -109
Step-by-step explanation:
I did the test
find a number that is exactly halfway between 1 and 27
Answers
Answer:
14
Step-by-step explanation:
A number that is exactly halfway between 1 and 27 is the middle number
In other words, we want to find the median between 1 and 27
Median = (x + y) / 2
Let
x = 1
y = 27
Median = (x + y) / 2
= (1 + 27) / 2
= 28/2
= 14
Therefore, the number between 1 and 27 is 14
Which triangle is congruent to triangle ABC?
Answers
hope that helps :)
can someone explain how to solve this?