Answer:
134°Step-by-step explanation:
Angles 1 and 3 form a linear pair so they sum to 180°.
m∠1 + m∠3 = 180°Substitute the values and solve for x
8x + 6 + 2x + 14 = 18010x + 20 = 18010x = 160x = 16Find the measure of ∠1
m∠1 = 8*16 + 6 = 134You are playing a game that uses two fair number cubes. If the total on the number cubes is either 2 or 5 on your next turn, you win the game. What is the probability of winning on your next turn? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
The probability of winning the game on your next turn is; 14%
How to find the Probability of Winning?The sample size of the two number cubes, when rolled is:
n = 36
The number of outcomes that give a sum of 2 or 5 is 5,
And the outcomes are (1, 1) (2, 3) (3, 2) (1, 4) (4, 1)
The probability is the quotient of the number of outcomes of the sum of 2 or 5 and the total outcomes.
Thus,
Probability = 5/36 * 100% = 13.89% ≈ 14%
Read more about Probability of winning at; https://brainly.com/question/24756209
#SPJ1
Describe the transformation of the function f(x)=2|x+3| from its parent function. WHOEVER HELPS ME I WILL MARK BRAINLEST :)
Parent function is general modulus function
y=|x|Now
x is increased by +3 so change in x axis and vertex.
The vertex shifted 3 units leftwards .
And it's multiplied with 2Means compression factor is 2
Both graphs attached
Answer:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
Parent function: [tex]f(x) = |x|[/tex]
Translated 3 units left: [tex]f(x+3)=|x+3|[/tex]
Stretched parallel to the y-axis by a factor of 2: [tex]2f(x+3)=2|x+3|[/tex]
Therefore, the function has been:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2Attachments
Green graph - parent function [tex]f(x) = |x|[/tex]
Red graph - Translated 3 units left [tex]f(x)=|x+3|[/tex]
Blue graph - Stretched [tex]f(x)=2|x+3|[/tex]
answer that for me xx
David leaves reading at 11 45am. he arrives at cardiff at 1 45pm. david drives at an average speed of 56 miles per hour. work out the distance between bristol and cardiff
Step-by-step explanation:
speed = distance/time
we know the speed and the time (11:45am to 1:45pm = 2 hours).
distance = speed × time = 56 m/h × 2 h = 112 miles
Given: ΔABC is an isosceles triangle where AB = BC.
Prove: m∠BAC = m∠BCA
Proof:
Statement Reason
1. Let ΔABC be an isosceles triangle where AB = BC. given
2. Create point D on so that bisects ∠ABC as shown. constructing an angle bisector
3. m∠ABD = m∠DBC definition of angle bisector
4. BD = BD
5. ΔABD ≅ ΔCBD SAS
6. m∠BAC = m∠BCA Corresponding angles of congruent triangles are equal.
20
What is the reason for statement 4 in this proof?
A.
Transitive Property of Equality
B.
definition of midpoint
C.
definition of parallel lines
D.
Reflexive Property of Equality
Reset Next
You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.
Answer:
Transitive Property of Equality
Step-by-step explanation:
Help me i dont get this
Answer:
Step-by-step explanation:
88 / 184 ≈ 0.48
96 / 184 ≈ 0.52
104 / 166 ≈ 0.63
62 / 166 ≈ 0.37
Can someone help me with this
Find the x-intercept and y-intercept of the line.
6x - 3y = 6
x intercept:
y intercept:
Answer:
Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)
Step-by-step explanation:
#95 will give brainliest to best answer!
Answer:
3/10
Step-by-step explanation:
The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.
Hope this helps! :)
How to work out the mode
Answer:
mode
is the most common frequent value
Some please help me , also your beautiful and handsome and smart and you matter .
Answer:
∠ 1 = 36° , ∠ 2 = 144°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is
x + 12 + 6x = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = x + 12 = 24 + 12 = 36°
∠ 2 = 6x = 6 × 24 = 144°
Simplify the following...
[tex]1 \cfrac{1}{5} + 2 \cfrac{1}{7} [/tex]
Samuel bought an 8-ounce bag of lettuce and a 1-pound bag of carrots. what is the total weight of the lettuce and carrots in ounces?
Answer:
the answer is 10z
Step-by-step explanation:
7+1=8
8+2=10
10z
The Pyramid of the Sun in Mexico is a square pyramid. The base edge is approximately 220 meters, and the height is approximately 70 meters.
What is the approximate surface area of the sides of the pyramid to the nearest thousand square meters?
The surface area of the square pyramid will be 105768.98 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.
Given that:-
The base edge is approximately 220 metersThe height is approximately 70 metersThe surface area of the pyramid will be:-
[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]
SA = 48400 + 440 √17000
SA = 48400 + 57368
SA = 105768.98 square meters
Therefore the surface area of the square pyramid will be 105768.98 square meters.
To know more about a surface area follow
https://brainly.com/question/25292087
#SPJ1
Question: Write an equation for this.
You have total 100 coins
that consist of 50 cents
and 10 cents. The total
money is 34 dollar. Find the
number of the 50 cent
coin.
To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.
System of EquationThe given data in this problem are
number of coins = 10050 cents = x10 cents = yamount = $34The system of equations can be written as
[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]
Let's start with equation (i)
[tex]x + y = 100\\\\y = 100 - x[/tex]
Substitute equation (iii) into equation (ii)
[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]
From the calculations above, the number of 50 cents coins are 60.
Learn more on system of equations here;
https://brainly.com/question/1554519
#SPJ1
Find the value of X
A. 32
3. 48
C. 92
D. 64
rashanda claims that she plays roughly 30 hours of golf per week she played 3 hours on monday 9 hours total on tuesday through thursday and 15 hours total over the next five days rashanda plays at a steady rate explain why her claim is or is not accurate
Answer:
Not accurate
Step-by-step explanation:
3+9+9=21
For each number, name its opposite.
a. -5
b. 0.5
c. -2
d. 28
e. -10.4
f. 0.875
g. -8,003
h. 0
Answer:
a. 5
b. 1
c. 2
d. -28
e. 10.4
f. 11.41
g. 8003
h. 1
Please help with my math!!!!!
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
How to determine the line equation by knowing its slope and a point
According to analytical geometry, we could know the equation of the line by means of the point-slope equation:
y - y₁ = m · (x - x₁) (1)
Where:
x - Independent variabley - Dependent variable(x₁, y₁) - Known pointm - SlopeIf we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:
y + 3 = -(1/3) · (x + 3)
y + 3 = -x/3 -1
y = -x/3 - 4
Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).
By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.
To learn more on linear functions: https://brainly.com/question/14695009
#SPJ1
Nick bought a new car.
each year the car depreciates in value by 12%.
work out the number of years it takes for the car to half in value.
?
After 5.4 years, the value of the car will be half the initial value.
How many years take for the car to be half in value?
We know that the value decreases by 12% each year.
Then the value of the car can be modeled with an exponential decay, written as:
[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]
Where A is the initial value, and t is the number of years.
The value will be halved when:
[tex](0.88)^t = 0.5[/tex]
We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:
[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]
This means that after 5.4 years, the value of the car will be half the initial value.
If you want to learn more about exponential decays:
https://brainly.com/question/11464095
#SPJ2
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
D. Ray
Step-by-step explanation:
Point: A dot in an exact location or position on a plane surface.
Line: A straight line that goes on infinitely in both directions and has no endpoints.
Line segment: A line between two points on each end.
Ray: A line with one endpoint and extends in one direction infinitely.
Aryll measures the water depth at the end of her dock. Waves are coming in, so the water level keeps changing.
The graph below shows the water level, h, in feet, t seconds after she began measuring. Approximately how much time passes between consecutive waves?
Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.
More can be learned about periodic functions at https://brainly.com/question/27723476
#SPJ1
Simplify this expression
(15+8d)(-5)-24d+d
Solve step by step
3.
Which is a true statement about two numerical sets of data that have positive
association?
What is the volume (in cubic units) of a cylinder with a radius of 5 units and a height of 8 units? Assume that π = 3.14 and round your answer to the nearest tenth when necessary.
Answer:
V = hpir^2 = 12(3.14)(3)^2 = 108(3.14) = 339.1
Step-by-step explanation:
add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c square - 4c
Perfect square formula/rules:
[tex]a^2+2ab+b^2=(a+b)^2[/tex][tex]a^2-2ab+b^2=(a-b)^2[/tex]Trinomials are often organized like [tex]ax^2+bx+c[/tex].
The b value in this case is c, and it will always equal the square of half of the b value.
Perfect square trinomial: [tex]ax^2+bx+(\dfrac{b}{2})^2[/tex]or [tex]ax^2-bx+(\dfrac{b}{2})^2[/tex]Solving the QuestionWe're given:
[tex]c^2-4c[/tex]In a trinomial, we're given the [tex]ax^2[/tex] and [tex]bx[/tex] values. a in this case is 1 and b in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:
4 ÷ 2 = 22² = 4Therefore, the term that we can add is + 4.
[tex]c^2-4c+4[/tex]
To write this as the square of a bracketed expression, we can follow the rule [tex]a^2-2ab+b^2=(a-b)^2[/tex]:
[tex](c-2)^2[/tex]
Answer[tex]c^2-4c+4[/tex]
[tex](c-2)^2[/tex]
A cylinder has a volume of 72 cubic inches. What is the volume of a cone with the same height and radius as the cylinder? Explain.
What is the circumference of the given circle in terms of pi.
HELP!!! simplify the expression.
4√2 × 5√8
Marsha sold 78 boxes of cookies. 51 boxes
were chocolate mint cookies. Of the remainder
sold, 1/3 were peanut butter crunchies. How many
boxes of peanut butter crunchies did Marsha sell?
Answer: 9
Step-by-step explanation:
78 subtract 51 is 27. One third of 27 is 9.