Answers
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
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Related Questions
help pleasee due todayyy ! :(
Answers
Answer:
1. $434
2. 36 ways
Step-by-step explanation:
1. 350×6÷100=21
21×4=84
84+350=434
I need help!!!! Need the answers now please!!
Answers
Answer:
Answer of this equation is (x-2)^2/ (X+3)^2
Step-by-step explanation:
x^2-4/X+3 × x-2/ x^2+5x+6
(X+2)(x-2) / X+3 × x-2/ x^2+(2+3)X+6
(X+2)(x-2)/X+3 × x-2/(X+2)(X+3)
(x-2)(x-2)/(X+3)(X+3)
(x-2)^2/(X+3)^2
A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers who get their hair cut, 24% also get their hair colored. What is the probability that a randomly selected customer gets their hair cut and colored?
Answers
Answer:
0.35
Step-by-step explanation:
The probability that a customer gets a hair cut and also gets a hair colored is 0.2088
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here: The probability of customers getting a haircut is 87% and the probability that the customers that have a haircut also get their hair colored are 24%
Thus the conditional probability that a customer who has a hair cut also gets his hair colored is
P( haircut/hair colored )= 87%×24%
=0.87×0.24
=0.2088
Hence, The probability that a customer gets a hair cut and also gets a hair colored is 0.2088
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jrbrbhrferfeerjfklebiviebvewb bpqib iqbepib phqb ehb piqebj f hbwflvfuyfe
Answers
Answer:
Ghjurdvbjkhffgjiojjjggdtj
Step-by-step explanation:
pls help meh ill give brainliest i gave it before so why not middle school math
Answers
Answer:
1800
Step-by-step explanation:
suppose the initial cost to be x
it was increased by 6.5%
so, since the price increased is 117
117=6.5% of x
117=(6.5/100) . x
117 . 100=6.5 x
x=11700/6.5
x=1800
Hurry! might mark brainliest! what is this in slope-intercept form?
Answers
The y-intercept is zero, and the slope is 2/3
please help i have to get this all done by tommorw
Answers
The diagram shows a plan for fencing off a section of a public park to make a dog park. A wall that separates the park from a highway will form one side of the dog park. The other 3 sides, shown as dotted lines, will be fenced. How much fencing is needed to make the dog park?
Answers
Answer:
i dont see the diagram
Step-by-step explanation:
What is the factored form of the binomial expansion x3 − 27x2 + 243x − 729?
(x – 3)3
(x – 3)4
(x – 9)3
(x – 9)4
Answers
Answer:
C
Step-by-step explanation:
(x-9)3 on edge
Help me please
Order the ratios from least to greatest:
9/4; 5 to 2; 13:6; 10/3; 20:7
Use a semi-colon to separate each ordered ratio.
Order the ratios from least to greatest:
5:16; 3/8; 2 to 6; 4/15; 12:40
Use a semi-colon to separate each ordered ratio.
Answers
Answer:
To establish a ratio relation you must see the difference hence 9:4 =2.25So 2.25, 2.5, 2.11, 3.33, 2.85From least to greatest:
13:6 ; 9:4 ; 5:2 ; 20:7 ; 10:3
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Y=-3x+3
Fill in the table using this function rule.
X. Y
-1. _
-2. _
0. _
1. _
2._
3._
4._
Answers
-2,9
0,3
1, 0
2,-3
3,-6
4, -9
The second is 9
The third is 3
The fourth is 0
The fifth is -3
The sixth is -6
The last is -9
What are the answers here?
Answers
Answer:
x
Step-by-step explanation:
y interspect x
The equation is x+2y=20
Rearrange the equation for y.
Answers
Answer:
2y=20-x
y=20-x/2
y=10-x/2
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.
Answers
Answer: See explanation
Step-by-step explanation:
Alyssa starts with $40 and saves $10 each week. This can be written as:
= 40 + 10x
Bill has $24 and saves $12 each week. This can be written as:
= 24 + 12x
where, x = number of weeks
a. Bill will never have more money than Alyssa.
False.
From the 9th week, Bill will have more money than Alyssa. To check goes below.
Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130
Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132
b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.
False.
Bill savings can be represented by:
= 24 + 12x
where, x = number of weeks
c. Alyssa and Bill will have the same amount of money at Week 6.
False.
Alyssa = 40 + 10x
= 40 + 10(6)
= 40 + 60
= $100
Bill = 24 + 12x
= 24 + 12(6)
= 24 + 72
= $96
I know this is simple, but I’m having trouble. Can you help me?
A plastics stock dropped 1 1/4 points every day of a 5-day business week. How many points did the stock drop that week?
Answers
Answer:
That will be 1/14 points
Step-by-step explanation:
==============================================
Work Shown:
1/4 = 0.25
1 & 1/4 = 1 + 1/4 = 1 + 0.25 = 1.25
The stock dropped by 1.25 points each day for 5 days
It dropped a total of 5*1.25 = 6.25 = 6 & 1/4 points.
------------
Alternative method:
5*(1 & 1/4) = 5*(1 + 1/4)
5*(1 & 1/4) = 5*1 + 5*(1/4)
5*(1 & 1/4) = 5 + 5/4
5*(1 & 1/4) = 5*(4/4) + 5/4
5*(1 & 1/4) = 20/4 + 5/4
5*(1 & 1/4) = (20+5)/4
5*(1 & 1/4) = 25/4
5*(1 & 1/4) = (24+1)/4
5*(1 & 1/4) = 24/4 + 1/4
5*(1 & 1/4) = 6 + 1/4
5*(1 & 1/4) = 6 & 1/4
We get the same answer as before.
this one please if you can
Answers
1.Given, x={p,q}.
Now, possible subsets of x are ϕ,{p},{q},{p,q}.
2.if A = fa b, c. d, e and B of a, e, i, o, u. list the elements of B - A and also show it in a venn diagram by
shading
hope it helps
merryyyy Christmassss
happy holidays
have a great day/night
You should mark them brainliest
The expression (2x^4)^2(5x)^3 can be written equivalently as
Answers
Answer:
500 x^11
Step-by-step explanation:
Answer:
500x^11
Step-by-step explanation:
Using PEMDAS first get rid of parenthesis
(2x^4)^2 is the same as 2x^4 * 2x^4 or 4x^8
(5x)^3 is the same as 5^3 * x^3 or 125x^3
multiply the two together, remember exponents on like terms add together
125*4 = 500
x^8 * x^3 = x^11
multiply together
500x^11
please give thanks :)
help and ill give brainliest
Answers
Answer:
10
Step-by-step explanation:
The band gets 1/2 of the total amount of water. The total amount collected is twice as much as what the band gets. Multiply 5 by 2 to get 10
Brainliest Please
Happy Holidays
18/3=?/1 what's the missing unit rate
Answers
Answer: 6
Step-by-step explanation:
Answer:
it's equal to 6/1!!
Step-by-step explanation:
What is the quotient?
Answers
hope u understand this
Alice's mother wants to wallpaper two adjacent walls in Alice's bedroom. She also wants to put a border along the top of all four walls. The bedroom is 9 ft by 12 ft by 8 ft high. A) If each double roll covers approximately 60 fr and the wallpaper is sold in double rolls only, how many double rolls are needed? B) If the border is sold in rolls of 5 yd each, how many rolls of the border are needed?
Answers
Answer:
A) The number of wallpapers needed to cover the walls is 6 double roll wall papers
B) The number of wall paper border rolls needed is 3 rolls
Step-by-step explanation:
A) The given parameters are;
The dimensions of the room are 9 ft. by 12 ft. by 8 ft. high,
The area one double role wallpaper covers = 60 ft.²
Therefore, we have;
The area of the room wall = 12 × 8 × 2 + 9 × 8 × 2 = 336 ft²
The number of double rolls of wallpaper to be used = Area of wall/(area of wallpaper) = 336/60 = 5.6
Therefore, given that the wall papers are sold in single units, we round up to the next whole number of units to get;
The number of wallpapers needed to cover the walls = 6 double roll wall papers
B) The borders of a wallpaper are installed parallel (and installed along) to the ceiling line
Therefore, the amount of wallpaper border required is given as follows;
Wall paper border length required = 2 × Length of the room + 2 × Width of the room
∴ Wall paper border length required = 2 × 9 ft. + 2 × 12 ft. = 42 ft.
The size of each wall paper border sold = 5 yd. = 15 ft.
Therefore;
The number of wall paper border rolls required = 42 ft./(5 yd.) = 42 ft./(15 ft.) = 2.8 rolls
Therefore, we round up to get the number of wall paper border rolls needed as 3 rolls of wall paper borders.
Every school day Dylan writes the school bus 4.79 mi round trip between home and school estimate the total distance Dylan wrote the school bus last month when there were 21 school days writing a question a model of your work
Answers
Answer:
[tex]100.59\ \text{miles}[/tex]
Step-by-step explanation:
The distance traveled by Dylan every day is 4.79 miles
Let the number of days he went to school be [tex]x[/tex]
Distance traveled by Dylan in a month is given by
[tex]y=4.79x[/tex]
Total number of days Dylan went to school last month is 21
The distance traveled by Dylan last month was [tex]y=4.79\times 21=100.59\ \text{miles}[/tex]
if abcd is dilated by a factor of 1/3 the coordinate of A would be?
Answers
Answer:
A' = (-1, -1)
Step-by-step explanation:
Rule for the dilation of any point A(x, y) about the origin by a factor of k is given by the rule,
A(x, y) → A'(kx, ky)
From the graph attached,
Coordinates of point A are (-3, -3) and it is dilated by a scale factor of [tex]\frac{1}{3}[/tex] about the origin then the coordinates of the image point A' will be,
A(-3, -3) → [tex]A'(-3\times \frac{1}{3},-3\times \frac{1}{3})[/tex]
→ A'(-1. -1)
Therefore, coordinates of A' = (-1, -1) is the answer.
Find the third side in simplest radical form:
Answers
Answer:
x = √143
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify
We are given a right triangle
Step 2: Define variables
Leg a = 1
Leg b = x
Hypotenuse c = 12
Step 3: Solve for x
Substitute: 1² + x² = 12²Isolate x term: x² = 12² - 1²Exponents: x² = 144 - 1Subtract: x² = 143Isolate x: x = √143what is the measure of ABC?
Answers
Answer:
B
Step-by-step explanation:
The angle at the centre is equal to the arc that subtends it , thus
∠ ABC = arc AB = 75° → B
What is the multiplicative identity of -12/13
A.-13/12
B.1
C.0
D12/13
Answers
Answer:
The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
We know that when a number let say 'n' get multiplied by '1', it remains unchanged.
i.e.
n × 1 = n1 × n = nThe number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.
Given the number
-12/13
Multiply the number '-12/13' by '1'.
i.e.
-12/13 × 1 = -12/13
1 × -12/13 = -12/13
Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
How can you find the diameter and radius if you know the circumference.
Answers
Answer:
If we say the circumference is 1600 pi, and this is equal to pi times the diameter, we can just divide both sides by pi to get the diameter, which is going to be 1600.
Step-by-step explanation:
Circles are all similar, and "the circumference divided by the diameter" produces the same value regardless of their radius. This value is the ratio of the circumference of a circle to its diameter and is called π (Pi).
The teacher is handing out note cards to her students. She gave 121 note cards to the first student, 144 note cards to the second student, 169 note cards to the third student, and 196 note cards to the fourth student. What kind of sequence is this?
Answers
Answer: repeated addition i think
Step-by-step explanation:
- 2(5 + 5x) = 100
show work
Answers
Answer:
-10-10x=100
-10x=100+10
-10x=110
x=-11
Step-by-step explanation:
Answer:
-2(5+5x)=100
-10-10x=100
-10x=110
x=-11
Step-by-step explanation:
:)
6(-12+5)-3(-12) Help solve with work please.
Answers
Answer:
-6
Step-by-step explanation:
6 into -7 + 36
-42+36=-6
Answer:
Step-by-step explanation:
steps are stated below
step 1
6(-12+5)-3(-12) equation
step 2
6(-12+5)-3(-12) simplify the equation
(6)(-7)−(3)(-12)
-42-(3)(-12)
step 3
-42-(3)(-12) times the number in the brackets
-42-(-36)
-6