Answers
Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)
We know that the angles opposite to equal sides of a triangle are equal.
∴ AB = AC ⇒ ∠B = ∠C
Now, Side BA of Triangle ABC has been produced to D.
∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)
⇒ 3x - 10 = 25 + x + 15
⇒ 3x - 10 = 40 + x
⇒ 3x - x = 40 + 10
⇒ 2x = 50
⇒ x = 50/2
⇒ x = 25
∴ The value of 'x' in the given figure is 25!
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Related Questions
You jog 623 miles around a track each day. If you jogged that distance 4
times last week, how many miles did you jog? in a fraction
Answers
Answer:
6 2/3 miles times 4
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Hope this helps, have a nice day/night! :D
-5x - 25= 78; her work is shown below identify the error and where it was made
Answers
[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]
For the problem -4(-5)(9), will the answer be positive or negative?
Answers
Answer:
Positive
Step-by-step explanation:
-4(-5)(9)
Negative cancels out negative, so it makes a positive:
20(9)
Simplify normally to get 180 as your final answer.
Explain what the vertical line test is and how it is used.
Answers
Answer:
The vertical line test is a test to determine if a relation or its graph is a function or not. For a relation or graph to be a function, it can have at most a single y-value for each x-value. Thus, a vertical line drawn at any x-position on the graph of a function will intersect the graph at most once.
Step-by-step explanation:
(winks and runs off)
How do i find the measure of <2 in this equation?
Answers
Answer:
142
Step-by-step explanation:
It is equal to the one above it.
I hope this helps!!
Gina needs to cut a board to use for a project. The board is 10 feet long. She first has to cut off 1 1/2 feet from one end of the board. She then cuts the remaining section of board into 3 equal pieces.
Which equation can be used to determine the the length of each equal piece?
Answers
Answer:
3x+1 1/2=10
Step-by-step explanation:
k12
The solution is Option B.
The equation used to determine the length of each piece of board is given by 3x + 1 1/2 = 10
What is an 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.
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 data ,
Let the total length of the board Gina has is = 10 feet
The first piece of length cut from the board is = 1 1/2 feet
So , the remaining piece of board = total length of the board Gina has - length cut from the board
And the equation is
The remaining piece of board = 10 - 1 1/2
Let the remaining piece of board be A
The remaining piece of board is cut into 3 equal pieces
Let the one remaining piece of board be = x
So , the three remaining pieces of board = 3x
Now , the equation will be
The remaining 3 pieces of board 3x = remaining piece of board
So , substituting the values in the equation , we get
3x = 10 - 1 1/2
Adding 1 1/2 on both sides of the equation , we get
3x + 1 1/2 = 10
Therefore , the equation is 3x + 1 1/2 = 10
To learn more about equations click :
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Could you please help with this
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
a square lot has a side of 8 5/8 meters,what is the area of the lot?
Answers
Find the slope of the line passing through the points (5,9) and (5, - 7)
Answers
Answer:
9/11
Step-by-step explanation:
you lose one quarter, two dimes, and two nickels.
a. Write the amount as a decimal.
The amount as a decimal is ____.
b. Write the amount as a fraction in the simplest form.
The amount as a fraction is ____.
Answers
Answer: .55
55/100
Step-by-step explanation:
Dimes=20
Nickels=10
A. 55 cents
B. 60/100
Answer number three and four please
Answers
Answer:
Yes (both)Step-by-step explanation:
Let's verify using Pythagorean:
#3 1² + 1² = (√2)² ⇒ 1 + 1 = 2 ⇒ 2 = 2, TRUE#40.3² + 0.4² = 0.5² ⇒ 0.09 + 0.16 = 0.25 ⇒ 0.25 = 0.25, TRUERaymond frequently dined at his favorite restaurant, Hungry Hippo. At his most recent visit, he paid his bill. If the bill had been half as much, he would have gotten three times as much change. If the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get. How much was Raymond’s change?
Answers
Raymond's change was $ 4.
Since Raymond frequently dined at his favorite restaurant, Hungry Hippo, and at his most recent visit, he paid his bill, and if the bill had been half as much, he would have gotten three times as much change, while if the bill had been two dollars more, Raymond would have gotten only half as much change as he actually did get, to determine how much was Raymond's change the following calculation must be performed:
1 / 2X = 3Y X + 2 = 1 / 2Y X = Y 2 = 1 / 2Y Y = 2 x 2 Y = 4
Therefore, Raymond's change was $ 4.
Learn more in https://brainly.com/question/7328385
PLZ help I need to answer quickly!
Answers
Answer:
4.2
Step-by-step explanation:
All sides are proportional, so choose a pair and find the proportion
Ex: AB and JK = 7/5=1.4
so each side is multiplied by 1.4 to get the larger figure
So 3*1.4=4.2
what is 7a-7b when a-b=5
Answers
Answer:
35
Step-by-step explanation:
7a -7b
Let a-b = 5
Factor
7(a-b)
7(5)
35
Answer:
a=5+7b/7
Step-by-step explanation:
7a-7b
a-b=5
7a-7b=5
7a-7b+7b=5+7b
7a-0=5+7b
7a=5+7b
7a=5+7b/7
a=5+7b/7
I just need help simplifying
Answers
Answer:
(x - 2) / (x - 1)
Step-by-step explanation:
(x - 2)(x + 3) / (x - 1)(x + 3) <-- factor top and bottom
(x - 2) / (x - 1) <-- cancel out x + 3
Im pretty sure its
-1
desde que empezó la cuarentena, el consumo de energía eléctrica en mi casa se ha incrementado. Es porque estamos todos en casa sin salir, usando la computadora, televisión y otros artefactos a la vez. El último recibo nos vino por julio y agosto, ya que no pudimos salir a pagar por la cuarentena, pero el recibo se extravió. Solo alcanzo a recordar que el monto total era de 150 soles y que en julio el consumo fue 20 soles menos que en agosto. ¿Cuánto fue nuestro consumo en julio y agosto? Verifica tu respuesta.
Answers
Answer:
Julio: 65 soles
Agosto: 85 soles
Step-by-step explanation:
julio: x
agosto: x + 20
x + x + 20 = 150
2x + 20 = 150
2x = 130 x = 65
julio: x = 65
agosto: x + 20 = 85
verificacion: 65 + 85 = 150
julio [65] = 20 menos que agosto [85]
Answer:
Julio: 65 soles
Agosto: 85 soles
The consumption in July was 65 soles and the consumption in August was 85 soles.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's call the amount of consumption in July "C1" and the amount of consumption in August "C2".
We know that:
C1 + C2 = 150 (the total consumption for both months)
C2 = C1 + 20 (August consumption was 20 soles more than July)
We can substitute the second equation into the first equation to get:
C1 + (C1 + 20) = 150
Simplifying this equation, we get:
2C1 + 20 = 150
Subtracting 20 from both sides, we get:
2C1 = 130
Dividing both sides by 2, we get:
C1 = 65
So the consumption in July was 65 soles.
Using the second equation, we can find the consumption in August:
C2 = C1 + 20 = 65 + 20 = 85
So the consumption in August was 85 soles.
We can check that these values are correct by verifying that they add up to the total consumption of 150 soles:
65 + 85 = 150
Therefore,
The consumption in July was 65 soles and the consumption in August was 85 soles.
Learn more about equations here:
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The complete question:
Since the quarantine began, the consumption of electrical energy in my house has increased. It is because we are all at home without going out, using the computer, television and other devices at the same time. The last receipt came to us in July and August, since we could not go out to pay for the quarantine, but the receipt was lost. I can only remember that the total amount was 150 soles and that in July consumption was 20 soles less than in August. How much was our consumption in July and August? Check your answer.
Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
Answers
The detailed answer is there in the image I have attached.
Hope it helps you....
Please mark as Brainlliest!!!!
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answers
x>-6
1st step: 3(x-1)>-15------(3x-3)>-15
2nd step: subtract -3 from -15 which is -18
3rd step: 3x>-18------x>-6
Answer:
x > -4
Step-by-step explanation:
First, distribute the 3 among everything inside the parentheses to get 3x - 3 > -15.
Next, add 3 on both sides to get 3x > -12, then divide 3 on both sides to get x > -4.
Hope this helps :)
Also I love the kitty lol, but what's with the hair tie?
Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.
Answers
Answer:
w + 4 ≥ -23
Step-by-step explanation:
"a number w": w
"increased by 4": + 4
"is greater than or equal to": ≥
"-23": -23
Put the parts of the equation together:
w + 4 ≥ -23
~
Answer: (x + 4) ≥ -23
solve for x
5x - 2 = 6
give your answer as an improper fraction in its simplest form
Answers
Answer:
x= 8/5
Step-by-step explanation:
add 2 to both sides
5x=8
divide both sides from 5
x=8/5
volume of a cube is 343 cm cube . find the edge
Answers
Answer:
Edge: 7 cm
Step-by-step explanation:
Cubic root of 343 = 7
can someone help me with this sum please
Answers
Answer:
See below...
Step-by-step explanation:
v * 7x = 7vx
8c * 6e = 48ec
3a * 4a = 12a^2
8xw * 2w = 18xw^2
8mn * 3m^2n = 24m^3n^2
4acx * 5ax^2 * 6c = 120a^2c^2x^3
4m * 4n = 16mn
3x * 4x = 12x^2
5w * 3wx = 15w^2x
6c * 5ac^2 = 30ac^3
9wx^2 * 6w^2x = 54w^3x^3
9a^2c * 4ac^2e^3 = 36a^3c^3e^3
which one is it please do this quick!
Answers
Answer:
B
Step-by-step explanation:
The answer is B because Figure JKML is a result of PQRS by a scale factor of 3
You can verify this because the distance from J to K is 6 and the distance from P to Q is 2, from 2 to get to 6 you need to multiply 2 by 3 meaning JKML would be the dilation of figure PQRS by a scale factor of 3
Just need some help with this one
Answers
Answer:
y = -2/3x + 10/3
need help for this question
Answers
The first one it's the first image, and the second one is the second image.
4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Answers
Answer:get scammed 4/7 of the T-shirts in a crate are in size S. The rest are in size M and L.
The ratio of the number of T-shirts in size M to the number of T-shirts in
size L is 2:3. There are 48 more T-shirts in size L than in size M. Find the number of T-shirts in size S.
Step-by-step explanation:
Please help will mark brainliest
Answers
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
Solve for x
1−6x = −17
Answers
Answer:
x = 3
Step-by-step explanation:
1 - 6x = - 17 ( subtract 1 from both sides )
- 6x = - 18 ( divide both sides by - 6 )
x = 3
Use the example as a model. Simplify the expressions.
t^37=?
i
-i
1
-1
Answers
Answer:
Step-by-step explanation:
[tex](\iota)^{37}=(\iota)^{36} \times \iota=[(\iota)^2]^{18}\times \iota=(-1)^{18} \iota=\iota[/tex]
I need help pleaseeeeee
Answers
ok for the first one says
f(x)= 2 which is our Y, now we see when y is 2 our x = 1
f(x)=0 so when y= 0 , x = 2
f(1) = 2