Triangle ABC is congruent to triangle XYZ. Angle A measures 50 degrees, angle B measure 2x+40 degrees, and angle Z measures 4x+8 degrees. Find the value of x.
20.5
13.67
16
10.5
Final answer:
To find the value of x, we use the fact that the angles of a triangle sum up to 180 degrees. By setting an equation with the given angle measurements and solving for x, we find the value of x to be 13.67.
Explanation:
The student asks about determining the value of x in two congruent triangles, ABC and XYZ, given the measurements of the angles. If triangles are congruent, their corresponding angles are equal. Using the fact that the sum of the angles in a triangle is 180 degrees, and given Angle A is 50 degrees, Angle B is 2x+40 degrees, and Angle Z is 4x+8 degrees, we can set up an equation because Angle B corresponds to Angle Z in congruent triangles:
50 + (2x + 40) + (4x + 8) = 180
Combine like terms:
50 + 2x + 40 + 4x + 8 = 180
6x + 98 = 180
Subtract 98 from both sides:
6x = 82
Divide both sides by 6:
x = 13.67
Therefore, the value of x is 13.67.
Too many nutrients is not good for bodies of water. This man-made is called what?
A. Cultural eutrophication
B. Point-source pollution
C. Eutrophication
Two consecutive integers have a sum of 45 . find the integers.
What metric unit would be appropriate to measure a length of two cities?
The width of a rectangle is 6 less than twice its length. if the area of the rectangle is 110 cm^2, what is the length of the diagonal?
Final answer:
The length of the rectangle is 10 cm and the width is 11 cm. Using the Pythagorean theorem, the length of the diagonal can be calculated to be √221 cm.
Explanation:
The length of the rectangle is 10 cm and the width is 11 cm.
To find the length of the diagonal, we can use the Pythagorean theorem:
Diagonal2 = Length2 + Width2
Diagonal = √(102 + 112) = √(100 + 121) = √221 cm.
The length of the rectangle is 10 cm and the width is 11 cm. Using the Pythagorean theorem, the length of the diagonal can be calculated to be √221 cm.
Team tool Bella gathered 15 pounds of wood in 1/3 of an hour. What was their speed in pounds per hour.
Team tool Bella gathered 15 pounds of wood in 1/3 of an hour.
1/3 of an hour is equal to 1/3 of 60 mins = 1/3 * 60 mins = 20 mins
We have to find their speed in pounds per hour( 60 mins).
Pounds of woods gathered in 1 hour or 60 mins = 15/20*60
= 15 * 3
= 45 pounds
Therefore, their speed in pounds per hour is 45 pounds / hour
Hope this helps ..!!
Thank you :)
I need 21 centimeters but i need to translate that into millimeters wht is the answer in milli eters
Ravi is driving 440440 miles to visit his grandma. He drives at a rate of 5555 miles per hour. How many hours will it take him to get 3434 of the way there?
Find the lateral area of the square pyramid.
Which of the following is a polynomial function in factored form with zeros at 0, –3, and 4?
A. f(x) = x^3 + x^2 – 12x
B. f(x) = x(x – 3)(x + 4)
C. f(x) = x^3 – x^2 – 12x
D. f(x) = x(x + 3)(x – 4)
help me....................
4/5 are girls. Today 3/5 brought there lunch. What fraction of the students are girls who brought there lunch today?
The radius r of a circle can be written as a function of the area A with the following equation:
[tex]r= \frac{A}{ \pi } [/tex]
What is the domain of this function? Explain why it makes sense in this context.
helppppppppppppppppp
Solve the system of equations using the substitution method.
{2x+8y=4
x=−3y+5
Enter your answers in the boxes.
x=
y=
Answer:
Step-by-step explanation:
X=14
y=-3
Answer:
(14,-3)
Step-by-step explanation:
1. Real numbers that cannot represent as a quotient of two integers are ____ numbers.
2. The sum of a number and it’s ____ equals zero.
3. You can simplify an expression by combining it’s ____.
4. ____ is a numbers distance from zero on a number line.
5. when you make conclusions based on patterns you observe, you use ____.
Please help asap! lots of points
Answer:
The answer is D.
Hope I helped :)
Have a blessed day <3
~Michael~
16 POINTS. Find the x and y intercepts of number 8 show work. I think my points are wrong.
PLEASE HELP, 40 points, absurd answers will be reported, good answers will get brainliest
8.03b
(PART 1)
Find at least three examples of conic sections in the real world (marketing, architecture, nature, etc.). Make sure your collage demonstrates at least two of the conic categories you have learned. You may use circles, ellipses, parabolas, or hyperbolas. Arrange your images on paper or in a document.
(PART 2)
Respond to each of the following prompts in a word processing document.
Write a brief description about one of the conics from your collage.
Write the equation that represents your conic in its standard form. To do this either find the measurements of your conic example to create the equation or guess the measurements of the conic.
Your assignment must include:
Your conics collage.
A description about one conic from your collage.
The standard form equation of one of the conics.
An explanation of how the equation for the conic was found.
A company need to package hazardous chemicals in special plastic rectangular prism containers that had 80 cubic feet. Find the whole number dimensions of the container that would use the least amount of plastic.
To package hazardous chemicals in special plastic containers the dimensions of the container should be 4 × 4 × 5 feet.
A rectangular prism with a volume of 80 cubic feet needs to be designed to use the least amount of plastic. To do this, we need to find the dimensions (length, width, height) that, while maintaining the given volume, result in the minimum surface area.
The volume of a rectangular prism is given by:
Volume = length × width × height
For our case: length × width × height = 80 cubic feet
To minimize the surface area, the dimensions should be close to a cube as this shape has the smallest surface area-to-volume ratio. We will seek integer dimensions. The formula for the surface area (SA) of a rectangular prism is:
SA = 2(length × width + width × height + height × length)
We start by considering potential combinations of whole numbers whose product is 80:
1 × 1 × 801 × 2 × 401 × 4 × 201 × 5 × 161 × 8 × 102 × 2 × 202 × 4 × 102 × 5 × 84 × 4 × 5Calculating the surface area for each configuration:
1 × 1 × 80: SA = 2(1×1 + 1×80 + 80×1) = 2(1 + 80 + 80) = 322 sq. feet1 × 2 × 40: SA = 2(1×2 + 2×40 + 40×1) = 2(2 + 80 + 40) = 244 sq. feet1 × 4 × 20: SA = 2(1×4 + 4×20 + 20×1) = 2(4 + 80 + 20) = 208 sq. feet1 × 5 × 16: SA = 2(1×5 + 5×16 + 16×1) = 2(5 + 80 + 16) = 202 sq. feet1 × 8 × 10: SA = 2(1×8 + 8×10 + 10×1) = 2(8 + 80 + 10) = 196 sq. feet2 × 2 × 20: SA = 2(2×2 + 2×20 + 20×2) = 2(4 + 40 + 40) = 168 sq. feet2 × 4 × 10: SA = 2(2×4 + 4×10 + 10×2) = 2(8 + 40 + 20) = 136 sq. feet2 × 5 × 8: SA = 2(2×5 + 5×8 + 8×2) = 2(10 + 40 + 16) = 132 sq. feet4 × 4 × 5: SA = 2(4×4 + 4×5 + 5×4) = 2(16 + 20 + 20) = 112 sq. feetThus, the dimensions 4 × 4 × 5 feet are the ones that use the least amount of plastic, giving a surface area of 112 sq. feet.
Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 6/5 .
What is the volume of the dilated prism?
Enter your answer, as a decimal, in the box.
a flyer on a reconnaissance flight has 4 hours for a round trip. his blade can fly 200 mph in still air. he flies out from his base against a 20 mph wind and immediately returns to his base, flying with the same wind. how many hours did he take for his fight out?
Can someone please help me
Answer:
Convert to inches to solve and then convert back. The first solution is 1 foot 10 inches.
Step-by-step explanation:
To solve convert feet inches into inches by multiplying the number of feet by 12 and adding it to the inches. Then subtract and convert back.
For example: 5 feet is 5*12=60 inches. So 5 feet 7 inches is 60+7=67.
3 feet is 3*12=36 inches. So 3 feet 9 inches is 36+9=45 inches.
Subtract the two.
67-45= 22 inches.
22 inches is 12+10. 12 inches is 1 foot. This is 1 foot 10 inches.
MATH HELP!!!
Dwight's gross semimonthly pay is $1220. To maintain his current lifestyle, how much should he save up by the time he retires?
$292800
$317200
$702720
$761280
Answer:
292,800
Step-by-step explanation:
1220*24 (24 is semimonthly)=29,280
Then you want to multiply by 10
29280*10=292,800
Dwight's save up by the time he retires will be 292800$
Dwight's gross semimonthly pay is $1220
What is the meaning of semimonthly?
semimonthly means two times per month
Semimonthly for per year is,
12(2)=24
Dwight's gross semimonthly pay is $1220.
1220*24 (24 is semimonthly)=29,280
For one year the amount will be 29280
Then you want to multiply by 10
29280*10=292,800
Therefore Dwight's save up by the time he retires will be 292800$.
To learn more about the saving visit:
https://brainly.com/question/25787382
PLESSSSSS HELP WILL CROWN BRAINLIEST!!!! 20PTS!!!!!!!!!!!!
Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After running for 54 minutes, she completes 6 kilometers. Her trainer writes an equation letting t, the time in minutes, represent the independent variable and k, the number of kilometers, represent the dependent variable. Which equation can be used to represent k, the number of kilometers Julissa runs in t minutes? k – 2 = 1/9(t – 18) k – 18 = 1/9(t – 2) k – 2 = 9(t – 18) k – 18 = 9(t – 2)
Answer:
the answer is C
Step-by-step explanation:
using her first part 2 kilometers in 18 minutes
total kilometers - 2
and total time - 18
so you would get:
k – 2 = (t – 18)
Factor by grouping m^2 +8mn -3mn-24n^2
20 POINTS
If two quantities are added and the sum is zero, what do you know about the quantities?
Find (fxf)(0)
F(x)+3x-2
To find (fxf)(0), substitute 0 into the given function f(x) = x + 3x - 2. The resulting value is -2.
Explanation:To find (fxf)(0), we need to substitute 0 into the given function. The function is f(x) = x + 3x - 2. Substituting 0 for x, we get f(0) = 0 + 3(0) - 2 = -2. Therefore, (fxf)(0) = f(f(0)) = f(-2).