Given:
The angles of a quadrilateral are x°, (x+5)°, (2x-25)° and (x+10)°.
To find:
The value of x.
Solution:
We know that the sum of all interior angles of a quadrilateral is 360°. So,
[tex]x^\circ+(x+5)^\circ+(2x-25)^\circ+(x+10)^\circ=180^\circ[/tex]
[tex](5x-10)^\circ=180^\circ[/tex]
It can be written as
[tex](5x-10)=180[/tex]
[tex]5x=180+10[/tex]
[tex]5x=190[/tex]
Divide both sides by 5.
[tex]x=\dfrac{190}{5}[/tex]
[tex]x=38[/tex]
Therefore, the value of x is 38.
A group of friends went to lunch. The bill, before sales tax and tip was $35.55. A sale tax of 6% was added. The group then tipped 15% on the amount after the sales tax was added. What was the amount, in dollars, of the total cost?
Answer:
about $43.34 rounded to the nearest tenth
Step-by-step explanation:
First add 6% of 35.55 to 35.55
35.55x1.06=37.683
This is the price after tax
Next add the percentage of tax to 37.683
37.683x1.15=43.335
Rounded to the nearest cent and your final answer is $43.34
What is the solution of the system?
2x + 5y = 14
2 + 3y = 16
pls help
Answer:
x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1
Find the measure of the missing angle *
Answer:
≈ 49.9° and ≈ 71.0°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{17}[/tex] , then
? = [tex]sin^{-1}[/tex] ([tex]\frac{13}{17}[/tex] ) ≈ 49.9° ( to the nearest tenth )
----------------------------------------------------------------
Using the cosine ratio in the right triangle
cos? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14}{43}[/tex] , then
? = [tex]cos^{-1}[/tex] ([tex]\frac{14}{43}[/tex] ) ≈ 71.0° ( to the nearest tenth )
If 6c-d=17, then d=
Answer:d=7
Step-by-step explanation:
Easy math
Choose the graph of the equation y=2.5x
Answer:
I think it's A( i edited)
Step-by-step explanation:
Bc at the end of the arrow on A it ends at 2.5 which fits the equation y=2.5x
Answer:
The answer is A.
Step-by-step explanation:
What is the factored form?
Answer:
(b − 10)(b^2 + 10b + 100)
Step-by-step explanation:
HELP ME PLSS BRAINIEST
PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?
Answer:
5
Step-by-step explanation:
Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 6 +n + 5b. Jake says that 5 is a coefficient and 6 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made? (Used, two separate answers as needed)
Answer:
Jake doesn't include 1 as constant.
Step-by-step explanation:
The given expression is 6+n+5b.
Jake says that 5 is a coefficient and 6 is a constant.
In this case, the coefficient is 5.
Constants are 6 and 1.
And variables are n and b.
Hence, Jake doesn't include 1 as constant.
What is |-26|?
(a) -26,
(b) 26,
(c) 0,
(d) 1
Answer:
(b)26
Step-by-step explanation:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3: Solve for the unknown in both equations.
Step 4: Check your answer analytically or graphically.
Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1
1) The base of a 10-ft ladder stands 6 feet from the base of a house. Will the ladder reach 7 feet
high? Justify your answer.
10 ft
6 ft
ms tyc does yoga. she worked out a total of 255.5 minutes last week.she exercised 7 days.how many minutes does she exercise each day?
Answer:
36.5
Step-by-step explanation:
255.5/7 = 36.5
Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?
Answer:
172,872÷6=28,812.33 I believe this is the answer
One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
The measure of the other leg of the right triangle is equal to 8 cm.
Let the other leg of the right triangle be the opposite side.Given the following data:
Adjacent = 6 cmHypotenuse = 10 cmTo find the measure of the other leg, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula;
[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]
Opposite = 8 cm
Read more: https://brainly.com/question/14930619
Pls need help thank you
Answer:
∠POM and ∠POR
Step-by-step explanation:
Step-by-step explanation:
angle POM and angle QRT
PLEASE HELP ME WITH THIS QUESTION!!
Answer: Never produce a rational numbers
Step-by-step explanation: IT doesnt matter if integers are added, subtracted, multiplied, or divided, intergers will always be integers.
Please help will give brainliest
At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²
Answer:
(A) V = π(8)²h
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
Learn more about linear Equation;
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Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
Learn more about equations here;
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17.65 - 3.619 in nearest tenth
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need to pass this class please help!
Answer:
a=65
Step-by-step explanation:
in a right angle theres 90 degrees.
90-25=65
which function represents the data
Which section of the graph is decreasing?
Answer:
I would go with answer B
Step-by-step explanation:
The starting of the decreasing is B and slowly decreases down to C
This is for algebra 1
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Step-by-step explanation:
Answer:
domain :- (-4, 1, 4,5)
Range:- (-3,0,0,2)
Hope this helps! :)
Briooooo wat is dis answer I need HELP
Answer:
Mehmed II
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter.
Answer:
3/13
Step-by-step explanation:
Here is the full question
There are seven nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Find the probability that both coins are nickels.
Because there is no replacement, after you pick the first coin, the number of coins in your pocket becomes 13 and the number of nickels in your pocket becomes 6
probability that both coins are nickels = probability that the first coin is a nickel x probability second coin is a nickel
7/14 x 6/13 = 3/13
You earn 5000 with a annual raise of 250, how much will you earn in 3 years?
Answer:
5750
Step-by-step explanation:
5000+250=5250
5250+350=5500
5500+250=5750
Helpppppppp pleaseeeeeeee and can you give an explenations also?
Answer:
B
Step-by-step explanation:
A(-3 , 3) -> A'(-9 , 9)
B(3 , 3) -> B'(9 , 9)
C(3 , 0) -> C'(9 , 0)
A'B'C' is a dilation of ABC about the origin with factor of 3
ΔA'B'C' ~ ΔABC: all the corresponding angles are the same measurement