Answers
Answer:
x = 20
y = 20
Step-by-step explanation:
In the given triangle, we can deduce that angle x is congruent to angle y using the Isosceles Triangle Theorem. Hence, we can construct the equation xº = yº.
We also know that the measures of the interior angles of a triangle add to 180º. Hence, we can construct the equation xº + yº + 140º = 180º.
We now have a system of equations, and since we already have an identity for xº (and also for yº), we can solve the system using the substitution method.
xº + yº + 140º = 180º
↓ substituting xº for yº
xº + xº + 140º = 180º
↓ subtraction 140º from both sides
2xº = 40º
↓ dividing both sides by 2
xº = 20º
↓ removing degree sign from both sides
x = 20
Now that we have solved for x, we have also essentially solved for y, as plugging this x-value into the equation xº = yº will just yield:
20 = y
y = 20
Related Questions
What is x + x in the mathematics
Answers
Answer:
X+x =2x
Step-by-step explanation:
I think this ans may help you
Answer:
2x
Step-by-step explanation:
x + x also equals x times 2
In the parallelogram below, solve for Y
Options
4
10
25
100
Answers
Answer:
x = 4
y = 4
Step-by-step explanation:
the front triangle has two 40° angles (sum of all ∡'s must be 180°)
the unlabeled lower-left angle then is 40°; this angle corresponds to the angle in the other triangle labeled as 10y°
therefore, 10y = 40 so y = 4
Since opposite angles in a parallelogram are congruent then we can write:
40° + 25x° = 100° + 10(4)°
25x° = 140 - 40°
25x = 100°
x = 4
4x-5y=18 determine the missing coordinate in the ordered pair (-2,?) so that it will satisfy the given equation
Answers
Because plug in numbers
(x,y)
4(-2) - 5y = 18
Pemdas
-8 -5y = 18
Add 8 to both sides
-5y = 26
Divide -5 both sides
y = -5.2
Check:
4(-2) -5(-5.2) = 18
Pemdas
-8 -5(-5.2) = 18
Pemdas, two negatives make a positive
-8 +26 = 18
18 = 18
Perhaps
What is 643 divided by 8.4?
Answers
Or if you round it to one decimal place 77 is the answer
Hi there!
643*8.4=76.5476190476
Please help a brotha out
Answers
Answer: a=1,b=1
Step-by-step explanation:
b
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
1. 38.7
2. 3.87
3. .387
Step-by-step explanation:
1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.
So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7
2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.
Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87
3. The exponent number is 2 so, 10 to the second power is 100.
Equation: 38.7 / 100
Move the decimal to the right twice and it will give you the answer .387
Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.
I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.
Which of the following goes through (-2,4)
-x+3y=10
2x-2y=-4
-3x+y=10
x-y=6
Answers
I need to know the probability of a yellow marble not being drawn at all.
Answers
Answer:
9/13
Step-by-step explanation:
After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
Bumper Cars:
6 minutes: 8 tickets
8 minutes:12 tickets
Which one gives you more time for your money?
Answers
Answer:
The option of 6 minutes with 8 tickets given more time for the money.
Step-by-step explanation:
Which one gives you more time for your money?
We have to find the time per ticket, which is the number of minutes divided by the number of tickets.
6 minutes: 8 tickets
6/8 = 0.(60/8) = 0.75 minutes per ticket.
8 minutes:12 tickets
8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.
So the option of 6 minutes with 8 tickets given more time for the money.
18=a ÷ 12
Find the introvert
Answers
Answer:
a = 216
Step-by-step explanation:
write the number 31 in tens and ones. 2 tens ? Ones
Answers
Answer:
you could do 3 tens and 1 ones or 2 tens and 11 ones
Step-by-step explanation:
hope this helps!
simplify (-4/5)^9/(-4/5)^10
Answers
Answer:
so (-4/5)^9/(-4/5)^10=−1,25
Identify the missing digit: 5_8x6-3528
Answers
Answer:
The missing digit is 8
Step-by-step explanation:
3528/6 = 588
Answer:
the missing digit is 8
Step-by-step explanation:
3528÷6=588.
^
3. What is 256% as a decimal?
Answers
Answer:
2.56
Step-by-step explanation:
Answer:
it would be 2.56
Step-by-step explanation:
256 ÷ 100 = 2.56
Please help I really need help please ans thank you
Answers
Answer:
see below
Step-by-step explanation:
x = 63 and y = 27
180 - 117 Gives 63
Answer:
x=63
y=27...............
Identify what is shown in each circle below, in order from left to right.
Radius, Diameter, Circumference
Diameter, Radius, Area
Circumference, Radius, Diameter
Diameter, Radius, Circumference
Answers
Answer:
the answer is
Diameter, Radius, Circumference
Hope it will help :)
Diameter, Radius, Circumference
Solve 81^x= 27^x + 2
Answers
Answer:
x=6
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases then solve for X.
Hope this helped have a good one.
Solve for x.
7x= 11.2
Answers
Answer:
X = 1.6
Step-by-step explanation:
Divide 7 on both sides:
7x = 11.2
x = 1.6
X, therefore, is 1.6.
Hope this helps!!
- Kay :)
x= 1.6
7 x 1.6 = 11.2
11.2 = 11.2
[tex]express each ratio in its simplest form \: 18hours to 2day
Answers
Answer:
Step-by-step explanation:
18 hours : 48 hours = 3:8
2(-4y-7)+3=11 solve for y
Answers
Answer:
y = -11/4
Step-by-step explanation:
2 ( -4y - 7) + 3 = 11
-8y - 14 + 3 = 11
-8y - 11 = 11
-8y = 22
y = -11/4
Answer:
12
Step-by-step explanation:
-4 + 12 =7
please help me really fast
Answers
Answer:
$30.00 fee
$45.00=total bill
$0.10 per minute of usage
x = minutes used
$30.00 + 0.10 per minute = $45.00
$30.00+$0.10(x) = $45.00
$0.10(x) = $45.00-$30.00 = $15.00
x = $15.00/$0.10 = 150 minutes used
12. A staffs shadow is 8 feet and a tree's shadow is 16 feet. If the staff is 9 feet tall, how tall is the tree?
A. 15 ft
B. 18 ft
C. 12 ft
D. 9 ft
Answers
Answer:
18 ft
Step-by-step explanation
1. Put 8/16 like a fraction and since we do not know the height of the tree yet we put the height as 9/d.
2. We have to cross multiply so we multiply 8 by d and we get 8d. Then we multiply 9 by 16 and we get 144.
3. We divide both sides by 8 so we can get (d) by itself and we divide 144 by 8 also.
4. We get d = 18
The answer is correct but my explanation is a little hard to read so sorry about that :)
What is the CIRCUMFERENCE of the given circle?
12.57 in
30.23 in
25.13 in
50.27 in
Answers
Use — 2pi * radius
So.
2pi*4. = 25.13
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answers
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
learn more about the altitude of a triangle here :
https://brainly.com/question/17020135
#SPJ5
We need to get the tomatoes from farm to the stores. We have tomato farms we can buy from in California and Florida. It cost .25 per pound to buy tomatoes from California. It costs .15 per pound to buy Florida tomatoes. California has available 6,000 pounds of tomatoes and Florida has available 8,000 pounds of tomatoes. Our stores are in Tampa, Atlanta and Dallas. Tampa needs 3,000 pounds, Atlanta needs 4,000 pounds and Dallas needs 5,000 pounds. Choose the appropriate technique to minimize the total shipping cost.
a. Forecasting / time series analysis
b. Linear programming model
c. Regression analysis
d. None of the above
Answers
Answer:
b. Linear Programming model
Step-by-step explanation:
Correct option is b. Linear Programming model.
As we know that, Linear programming model is a technique that used to find the optimal solution of a given problem with the available resources.
△XYZ is similar to △XVW. Enter the congruence statements that must be true.
The congruence statements that must be true are
Answers
Answer:
angle X is congruent to angle X
angle Y is congruent to angle V
angle Z is congruent to angle W
Step-by-step explanation:
Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45
Answers
Answer:
x = 14
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW :-
Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.___________________________________________________________
In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.
As they are supplementary angles , their sum will be 180°.
So ,
[tex](3x) + (7x + 40) = 180[/tex]
[tex]=> 3x + 7x + 40 = 180[/tex]
[tex]=> 10x + 40 = 180[/tex]
Substracting 40 from both the sides ,
[tex]=> 10x + 40 - 40 = 180 - 40[/tex]
[tex]=> 10x = 140[/tex]
Dividing both the sides by 10 ,
[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]
[tex]=> x = 14[/tex]
HELP
Sairam has two jobs. He earns $8 per hour babysitting
his neighbor's children and he earns $11 per hour
working at the coffee shop.
Write an inequality to represent the number of hours,
x, babysitting and the number of hours, y, working at
the coffee shop that Sairam will need to work to earn
a minimum of $200.
Answers
Answer:
sairam will have to work around 18.18 hours at coffee shop to get 200$
Step-by-step explanation:
write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7
Answers
Answer:
1. -8 , -5 , 1 , 2
2: -5, -4 , -3 , 2
3: -15, -10, -7
Step-by-step explanation:
Given
1. -5, 2, 1, -8
2. -4, -3, -5, 2
3. -10, -15,-7
Required
Sort in ascending order
To write in ascending order, means that the number must increase from left to right.
So, we have:
1. -5, 2, 1, -8
From left to right, we have:
[tex]-8 < -5 < 1 < 2[/tex]
Hence, the sorted list: -8 , -5 , 1 , 2
2. -4, -3, -5, 2
From left to right, we have:
[tex]-5 < -4 < -3 < 2[/tex]
Hence, the sorted list: -5, -4 , -3 , 2
3. -10, -15,-7
From left to right, we have:
[tex]-15 < -10 < -7[/tex]
Hence, the sorted list: -15, -10, -7
Pls help extra points and mark brainlist
Answers
Answer:
the answers are a and d
Step-by-step explanation:
x+x+x=3x and you can't add a constant (2) to a variable(3x) so it would just be 3x+2