For triangle XYZ, m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°. Find m∠Y.
m∠Y = 28°
m∠Y = 38°
m∠Y = 95°
m∠Y = 142°
The measure of <Y is 38.
What is Angle Sum Property?According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property.
Given:
m∠X = 47°, m∠Y = (2x − 18)°, and m∠Z = (5x − 45)°.
Using angle sum property
m<X + m<Y + m<Z = 180
47 + 2x- 18 + 5x - 45= 180
7x -16=180
7x= 180+16
7x= 196
x= 196/7
x= 28
So, the measure of <Y = 2x- 18 = 2(28) - 18 = 56-18 = 38
Hence, the measure of <Y is 38.
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An empty swimming pool is to be filled to the top. The pool is shaped like a rectangular prism with a length 12m, width 10m, and depth 2m. Suppose water is pumped into the pool at a rate of 24m^3 per hour. How many hours does it take to fill the empty pool?
ANSWER QUICKLY PLS
What is 10x10x20x90?
Pls help!
Answer:
The answer is 180,000
Answer: 180000
I really hope this helped you! good luck
5 2/11 - 3 2/18
A. 3
B. 1
C. 4
D. 2
Answer:
would be closest to D: 2
Step-by-step explanation:
Answer:
The answer is D.2
help :))) ill give brainliest
Answer:
A rectangle is formed
Step-by-step explanation:
sqaure im not sure it just makes sense for example point 1 goes to 2 which goes to 3 and goes to 4 and 4 goes back to 1 thanks for your time
help me please ill give the crown
Answer: D
Step-by-step explanation: i think this because,well I'm smart
(I Think)
1.7.PS-13
At the end of a party,
each friend get?
5
cup of dip is left. Jim divides of the leftover dip equally between 3 friends. How much dip does
7
Each friend gets cup.
(Type a whole number or a fraction.)
Question Help
53
Need some help with steps please. Its Systems of equations and inequality's Linear Inequality's
Answer:
[tex]y\leq \frac{4}{5} x-1[/tex]
Step-by-step explanation:
−4x+5y≤−5
−4x+5y+4x≤−5+4x
5y≤4x−5
[tex]\frac{5y}{5}[/tex]≤[tex]\frac{4x-5}{5}[/tex]
y≤[tex]\frac{4}{5}[/tex]x-1
Answer:
y<=4/5x-1
Step-by-step explanation:
HELLP ME FOR 30 PTS PLEASEEE
Step-by-step explanation:
9. x°=90°-30°=60°
10. x°=180°-(40°+65°)=180°-105°=75°
11. x°=180°-(35°+45°)=180°-80°=100°
12. x°=180°-(25°+x°+65°)
x°=180°-90°-x°
2x°=90°
x°=45°; (x+65)°=110°
13. x°=180°-(48°+x°-44°)
x°=180°-4°-x°
2x°=176°
x°=88°; (x-44)°=44°
14. x°=180°-(73°+x°-11°)
x°=180°-62°-x°
2x°=118°
x°=59°; (x-11)°=48°
HELP!! PLEASE!! 25P POINTS!!
Determine which integer(s) from the set S:{−24, 2, 20, 35} will make the inequality five sixths m minus five is less than one half m plus 3 false.
S:{−24, 2}
S:{35}
S:{−24, 2, 20}
S:{20}
Answer:35
Step-by-step explanation:
The integer in the set S:{−24, 2, 20, 35} that will make the inequality five-sixths m minus five is less than one-half m plus 3 false is 35What is inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities imply that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.In this case, based on the information we will replace m with 35. This will be illustrated thus:= 5/6(35 - 5) < 1/2(35 + 3)= 5/6(30) < 1/2(38)= 25 < 19In this case, 25 isn't less than 19. Therefore, 35 is the correct integer.
Answer: 35
Step-by-step explanation:
The graph below shows the amount of sugar required to make different sized batches of cookies.(Options below)
Which statement is true about the graph of the line?
The point (3, 2) lies on the graph and indicates that 2 dozen cookies can be made from 3 cups of sugar.
The point (4, 6) lies on the graph and indicates that 4 dozen cookies can be made from 6 cups of sugar.
The point (2, 3) lies on the graph and indicates that 3 dozen cookies can be made from 2 cups of sugar.
The point (6, 4) lies on the graph and indicates that 6 dozen cookies can be made from 6 cups of sugar.
Answer:the answer would have to be 2,3
Step-by-step explanation: the line intercepts at 2,3, if you were to check the following answers such as 6,4 and 4,6 the line does not intercept with the corresponding line.
Answer:
Step-by-step explanation:
CORRECT OPTION IS :
The point (6,4) lies on the graph and indicates that 6 dozen of cookis can be made from 6 cups of sugar
Can someone help me asap I go to this class soon
find the value of the expression 11a^3b^0 if a=2, b=-8
The solution for the given expression 11a³b⁰ is 88.
What is Power of any number?Power implies a number is multiplied how many times by itself. If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times
The given expression is,
11a³b⁰
Also given that,
The value of a=2 and b=-8,
Substitute the value of a and b in expression 11a³b⁰,
11×2³×(-8)⁰
⇒11×8×1 (Since, a⁰=1)
⇒88.
The value of expression 11a³b⁰ is 88.
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Rosie buys her favorite hot chocolate from a hot chocolate shop. She pays $5.00 and gets a 20 oz. cup. What is the unit rate price per ounce for her hot chocolate?(1 point)
Answer:
4oz = 1$
Explain your answer:
This is the last question I need help with and I need it fast
Answer:
x=5
Step-by-step explanation:
m = y2-y1 / x2-x1
-7/2 = -5 - 2 / x -3
-7/2 = -7 / x-3
x-3 = -7 * -2/7
x-3 = 2
x=5
Two angles are complementary to each other. One angle measures 26°, and the other angle measures (10x − 11)°. Determine the value of x.
2.6
5.6
7.5
24.5
Determine which integer will make the inequality 4x + 6 < 2x + 12 false.
S:{1}
S:{−1}
S:{4}
S:{−4}
Out of the given integer(s), {4} is the integer which will make the inequality 4x + 6 < 2x + 12 false.
What is Inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions unequally.
Based on the question, we are supposed to determine which integer will make the inequality 4x + 6 < 2x + 12 false
Let's solve the inequality for the range of x first;
4x + 6 < 2x + 12
4x - 2x < + 12 - 6
2x < 6
x < 3
So for all values of x < 3, the inequality 4x + 6 < 2x + 12 is true and for all values of x > 3, the inequality 4x + 6 < 2x + 12 false.
Hence, we accept {4} as our required integer.
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List 20 multiples of 9. Use the multiples to justify the divisibility rule 9.
20 multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180.
if the sum of its digits is divisible by 9 or if tje sum is a mutiple of 9, then the number is divible by 9.
add up the digits and figure out if the sum if the digits is a multiple of nine or weather its divisble by 9
Answer:
9 x 1 9
9 x 2 18
9 x 3 27
9 x 4 36
9 x 5 45
9 x 6 54
9 x 7 63
9 x 8 72
9 x 9 81
9 x 10 90
9 x 11 99
9 x 12 108
9 x 13 117
9 x 14 126
9 x 15 135
9 x 16 144
9 x 17 153
9 x 18 162
9 x 19 171
9 x 20 180
Step-by-step explanation: Divisibility Rule of 9
That is, if the sum of digits of the number is divisible by 9, then the number itself is divisible by 9. Example: Consider 78532, as the sum of its digits (7+8+5+3+2) is 25, which is not divisible by 9, hence 78532 is not divisible by 9.
Help!!!!!!!!!!!!!!!!!!!!
Help me solve it with explanation.
Answer:
I will guess 16
Step-by-step explanation:
Answer:
A 22
Step-by-step explanation:
n is any number in a sequence. It can be replaced by any number in any order, hence 8. "8th term in this sequence".
You plug 8 in accordance to the question in the following equation:
2n+6
2(8)+6
Then, solve it using order of operations:
16+6
=22
Please Help!! Its due TONIGHT!!!!
HELP ASAP. Identify the center of dilation for the given figures. I will give brainliest if right.
what is the answer to the problem?
Susie has 8 pieces of string. Each string measure 6.5 inches long, how many inches of string does she have in all?
Answer:
52
Step-by-step explanation:
8 times 6.5= 52
Answer:
She has 52 pieces of string in all.
Step-by-step explanation:
Simplify x raised to the negative seventh power over y raised to the fifth power.
The simplification of x raised to the negative seventh power over y raised to the fifth power will be 1/x⁷y⁵.
What is a mathematical expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. It is possible to multiply, divide, add, or subtract in math. An expression has the following structure: (Mathematical Operator, Number/Variable, Expression)
It is given that the expression is, "x raised to the negative seventh power over y raised to the fifth power."
The expression can be written as,
=x⁻⁷/y⁵
= 1/x⁷y⁵
Thus, for the given expression the simplification is obtained as, 1/x⁷y⁵
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20 girls and 28 boys volunteer to plants trees at a school. The principal divides the girls and boys into identical groups that have girls and boys in each group. What is the greatest number of groups the principal can make?
Answer:
I think it's 4 groups because I think it's asking to find the gcf
mr.wong wants to make travel bags for groups of students to take on a field trip. he will put 24 note pads,34 water bottles,and 48 granola brads into the bags. he wants to put the same number of each type of item into each travel bag. What is the greatest number of total bags mr Wong can make
What is the slope of this line?
Answer:
-3/4
Step-by-step explanation:
The "rise" is -3 and the "run" is 4
Answer:
-3/4
Step-by-step explanationn:
"run" is 4
"rise" is -3
According to the frequency chart below, how many people have two or more brothers and sisters?
A. 39
B. 30
C. 20
D. 10
Answer:
B. 30
10+15+3+2=30
What does the point (2,8) mean?
Answer:
One cup of flour makes four muffins
Step-by-step explanation:
In (2, 8), two is the number of cups used and eight is the number of muffins made.
(2, 8) tells you that, for every two cups of flour used, Richard makes eight muffins.
This means that one cup of flour makes four muffins.
Answer:
2 cups, 8 muffins
Step-by-step explanation:
(x, y)
On the x axis its labeled Cups and on the y axis its labeled muffins
Hope this helps :)