In the diagram, find the measure of Angle y and Angle x.
PLEASE HELP ME!!
Answers
Answer:
Part 1) The measure of angle x is 24°
Part 2) The measure of angle y is 66°
Step-by-step explanation:
step 1
Find the measure of angle m∠IKL
we know that
m∠JKI+m∠IKL=180° ----> supplementary angles (form a linear pair)
we have
m∠JKI=48°
substitute
48°+m∠IKL=180°
m∠IKL=180°-48°=132°
step 2
Find the measure of angle x
we know that
The triangle IKL is an isosceles triangle
so
m∠KIL=m∠KLI=x
Remember that
The sum of the interior angles of a triangle must be equal to 180 degrees
m∠IKL+2x=180°
132°+2x=180°
2x=180°-132°
x=24°
step 3
In the right triangle JIL
Angles x and y are complementary
so
x+y=90°
24°+y=90°
y=90°-24°
y=66°
Related Questions
Write a description of how a diagram can help you solve 2×40
Kit gathered 5 eggs when she visited her cousin's farm. Altogether, the eggs weighed 225.0 grams. She wrote down the weight of each egg, but missed the last egg. The 4 weights she recorded were 45.07 grams, 45.72 grams, 43.98 grams, and 45.02 grams. Find the weight of the missing egg. Then, to help her uncle figure out which chickens are producing the best eggs, help her order the egg weights from least to greatest. How did place value help you compare and contrast the numbers in problem 5?
Can some one run the answer
How many quarts can be held in 19 gallons
Answers
The volume of the prism is 9/16 ft².
Option C is the correct answer.
What is a cube?
It is a polygon having six faces.
The volume of a cube is side³.
We have,
The volume of a cube = Side³
Now,
Prism is made up of 36 cubes.
Each cube has a side length of 1/4 ft.
Now,
The volume of each cube.
= Side³
= (1/4)³
= 1/64
Now,
The volume of the prism.
= 36 x 1/64
= 36/64
= 9/16 ft²
Thus,
The volume of the prism is 9/16 ft².
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1/4^3=0.015625in^3
Answers
Final answer:
The volume of a cube is calculated by multiplying its length, width, and height. Given the measurements with length of 5 cm, width of 16 cm, and height of 10 cm, their product equals 800 cubic centimeters.
Explanation:
The volume of a cube or a cuboidal object can be calculated using the formula Length x Width x Height. In this case, the given measurements are length is 5 cm, the width is 16 cm, and the height is 10 cm.
So, by substituting these values into the formula, we get:
Volume = Length x Width x Height
= 5 cm x 16 cm x 10 cm
= 800 cubic cm
So, the volume of the cube with the given measurements is 800 cubic cm.
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Answer:
800
Step-by-step explanation:
lol ain't even a cube das a rectangle
Answers
Answer:
Step-by-step explanation:
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4 three-dice (with sides labeled 1, 2, and 3) are rolled and the numbers face up on the 4 dice
are recorded. Give the sample space for this experiment. What is the probability that at least
one of the dice rolled is showing a 2?
What is the probability that at least one of the dice rolled is showing a 2?=
Answers
The sample space for the experiment N(S) = 12 and the probability of showing 2 on at least one die is 41/81.
What is probability?
Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given that four three-sided dice(4, 5, 6 are replaced by 1, 2, 3) are rolled.
As each die has two 1's, two 2's, and two 3's the no. of distinct sample space N(S) each die has is 3, and there are a total of four dice so the total no.of sample space is (3×4) = 12.
∴ The probability that one of the die is showing 2 is (2/6) = 1/3.
So, the probability that at least one of the die is showing two is sum of one die showing two to sum of 4 dice showing 2 which is,
= 2/6 + (2/6)(2/6) + (2/6)(2/6)(2/6) + (2/6)(2/6)(2/6)(2/6).
= 1/3 + 1/9 + 1/27 + 1/81.
= (27 + 9 + 3 + 1)/81.
= 40/81.
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Answers
-6x - 7y=-10 / *2
8x + 14y=4
-12x -14y= -20
_________________
-4x=-16 => x=4; y= -2
Answer:
y=4/7, x=-1/2
Step-by-step explanation:
Elimination is when you add the equations together