Based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.
What is the Angle Addition Postulate?The angle addition postulate states hat the sum of two smaller angles is always the measure of a bigger angle from which the smaller angles are formed from.
Given:
Measure of angle 2 = 45°
Measure of angle XWY = 133°
Therefore:
Measure of angle 1 + 45 = 133 [angle addition postulate]
Subtract 45 from each side of the equation
Measure of angle 1 + 45 - 45 = 133 - 45
Measure of angle 1 = 88°
Therefore, based on the angle addition postulate, the measure of angle 1 is calculated as: 88°.
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Solve please!!!!!!!!!
look at the picture, pls help me!!!
. The highest natural point in the world is Mt. Everest with an elevation of 29,028 feet
above sea level. The lowest natural point in the world is the Dead Sea, which sits at
1,312 feet below sea level. Which equation could be used to represent these two
elevations as solutions?
The equation that can be used to represent these two elevations as solutions will be 29028 - (-1312).
How to illustrate the information?From the information, highest natural point in the world is Mt. Everest with an elevation of 29,028 feet above sea level andd the lowest natural point in the world is the Dead Sea, which sits at 1,312 feet below sea level.
Therefore, the equation which depict the two elevations will be the difference between the elevations and this will be:
= 29028 - (-1312)
= 30340
The distance between them is 30340 feet.
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Question 4 (1 point)
Which statement best describes the effect on the graph of y = (x-9)2 if the equation is changed to y = (x+9)2?
Oa
Ob
Oc
Od
The graph moves up 18 units.
The graph moves right 18 units.
The graph moves down 18 units.
The graph moves left 18 units.
Answer:
left
Step-by-step explanation:
Answer:
c. the graph moves left 18 units
Step-by-step explanation:
edge 2021
(:
Select three ratios that are equivalent to 8: 5.
Choose 3 answers:
А 16:10
(B) 50 : 80
C 48:30
D 32 : 20
E 64 : 35
Answer: A C and D
Step-by-step explanation:
8:5 = 160%
16:10 = 160%
50:80 = 62.5%
48:30 = 160%
32:20 = 160%
64:35 = 185%
Glad to help!
PLEASE HELPP
On a blueprint, the height of a door is 3.5 inches. The actual height of the door is 7
feet. What is the scale on the blueprint?
Answer:
Scale is every 1 inch on the blueprint is 2 inches scaled In reality
Step-by-step explanation:
7/3.5=2
so 2 inches for every 1 inche in the scale
Answer:
1:2
Step-by-step explanation:
7/3.5=2
=1:2
Rebecca bought fresh fruit to make smoothies for breakfast this week. She spent a total of $18.90 on strawberries and blueberries at the farmers' market. She bought 4.5 pounds of strawberries at $2.40 per pound. If she bought 4.5 pounds of blueberries as well, how much did they cost per pound?
Answer:
1.8 per pound
Step-by-step explanation:
Rearrange
X=2w + 1 over 5 – 3w
to make w the subject.
(4 marks)
W =
Answer:
Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
Step-by-step explanation:
We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.
[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]
Subtract 2w on both sides
[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]
Subtract 5x on both sides
[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]
Taking w common on left hand side
[tex]w(-3x-2)=1-5x\\[/tex]
Divide both sides by -3x-2
[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]
So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb. Which statement are true?
LOOK AT ATTACHED IMAGE
CHOOSE ONE ANSWER
A. Martin climbs at a rate of 20 meters per hour
B. Alexia take 0.21 of an hour to climb one meter
C. Martin climbs at a rate of 0.20 meters per hour
D. Alexia climbs a rate of 15 meters per hour.
Answer:
Martin climbs at a rate of 20 meters per hour
Step-by-step explanation:
Martin and Alexia are rock climbing. Each person's rate stays the same for the first hour they climb.
For Martin's,
Distance = [tex]3\dfrac{1}{3}\ m=\dfrac{10}{3}\ m[/tex] in 1/6 hour
Rate is given by :
[tex]R=\dfrac{\frac{10}{3}}{\frac{1}{6}}\ m/h\\\\=\dfrac{10}{3}\times 6\\\\=20\ \text{meters/hour}[/tex]
For Alexia,
Distance = [tex]17\dfrac{1}{2}\ m=\dfrac{35}{2}\ m[/tex] in 5/6 hour
Rate is given by :
[tex]R=\dfrac{\frac{35}{2}}{\frac{5}{6}}\ m/h\\\\=\dfrac{35}{2}\times \dfrac{6}{5}\\\\=21\ \text{meters/hour}[/tex]
Hence, the correct option is (A) "Martin climbs at a rate of 20 meters per hour"
Solve y = mx + b for x.
Answer: x = (y - b)/m
Step-by-step explanation:
y = mx + b
y - b = mx + b - b
y - b = mx
(y - b)/m = mx/m
x = (y - b)/m
identify the equation that represents the data in the table
a.y=x+5
b. y=-3x + 5
c. y=-5x + 1
d. y = x + 13
Answer:
i would say A
Step-by-step explanation:
632 16/25 + 31 3/10 and turn it into a decimal :)
Answer:
663.94
Step-by-step explanation:
HELP PLEASE Question one
Answer:
40
Step-by-step explanation:
ABE and CBD are verticle angles, meaning that they have the same measure. Angle CBD is 40 so that must make ABE 40 as well.
Pls brainliest
When a driver applies the brakes, the tires lock but the car will continue to slide, leaving skid marks on the road. You can approximate the speed at which a car was traveling on a dry road based on the length of a skid mark left by the car using the formula Speed = (30xlengthx0.75)1/2, where speed is measured
in miles per hour and length is measured in feet. At approximately what speed
was a car traveling if it left a 50-foot long skid mark? Round to the nearest tenth.
.
The speed of the car was 33.5 miles per hour on the road on the basis of the skid mark it leaves behind on the road.
Given that, when a driver applies the brakes, then the tires lock but the car continue to slide, and leaves a skid mark on the road. By using the length of the skid mark we can approximate the speed of the car by which it was travelling on the road. The formula which we will be using to approximate the speed = √30 × Length of the skid mark × 0.75, where the speed is measured in miles per hour and the length is measured in feet.
Length of the skid mark on the road = 50 feet
speed of the car = √30 × Length of the skid mark × 0.75
simply put the value of length of the skid mark in the above formula and solve accordingly.
=√30 × 50 × 0.75
=√1125
=33.5
∴ The speed of the car was 33.5 miles per hour when it was on the road and leave behind a 50 feet skid mark on the road.
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2. when we solve a quadratic equation, how many solutions should we always start out seeking? explain why when solving a quadratic equation in the form ax? bx c
For a quadratic equation, we start out seeking 2 solutions.
According to the statement
We have to find about the quadratic equation.
So, For this purpose, we know that the
Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power
From the given information:
when we solve a quadratic equation, how many solutions should we always start out seeking.
Then
Here, we are required to search out out what number solutions to start out out seeking while solving a equation and also the condition for a quadratic graph not having zeros ( no x-intercepts).
Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.
And, a quadratic can haven't any zeros ( no x intercepts) if the roots of the equation are complex numbers.
A quadratic is one which has the very best degree of its variable ( usually x) to be 2.
Consequently, after we solve a quadratic, one should start out seeking two (2) solutions.
This is so because, the quantity of solutions to begin out seeking corresponds with the very best power of the experimental variable, X.
Therefore, where X³ occurs in an equation, it's cubic and consequently has 3 solutions.
Therefore, where X¹ occurs in an equation, it's linear and consequently has 1 solution.
And, where X² occurs in an equation, it's quadratic and consequently has 2 solutions.
It is possible to possess a quadratic with no zeros (i.e no x-intercepts).
So, For a quadratic equation, we start out seeking 2 solutions.
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GIVING BRAINLIESET AND A CASH SEND PUT CASH TAG IN RESPONOSE
1. Pizza
A pizza is a circle and the area of a circle increases with the square of the radius.
A= pi r^2
you have 10pi inches in small pizza and the area is 100pi
20 pi inches in larger pizza and area is 400pi
So the area larger pizza is 5 times the area small pizza.
2. problem 5
1. Scale Up (smaller to larger)= larger figure measurement / small figure measurement.
scale up = 16/8 = 2.
the scale factor is 2.
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
2. the area of original = 1/2 bh= 1//2 x 8 x 6 = 24
3. the area of enlarged = 24 x 2= 48.
4. Yes. To enlarge a triangle with sloping sides, it is easiest to enlarge the base and the height. The base is 2 squares long and the height is 3 squares long. Multiply these lengths by the scale factor of 2 to find the enlarged shape.
**Polygon
explain: The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.
use the figure below and you find the polygon.
***Map
you see the video link below
https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-map-distance-example
scale drawing see video below
https://virtualnerd.com/geometry/similarity/ratios-proportions/scale-drawing-definition
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90° The length of the longest side of the triangle is not known How many different triangles can be drawn with these dimensions? Explain your reasoning
Answer:
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one angle of 90°. The length of the longest side of the triangle is not known.
How many different triangles can be drawn with these dimensions? Explain your reasoning.
Step-by-step explanation:your weclome
The number of triangles that can be drawn with these dimensions will be one.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Thomas draws a triangle with side lengths of 5 centimeters and 12 centimeters and one point of 90° The length of the longest side of the triangle isn't known.
The longest side of the triangle is given as,
H² = P² + B²
H² = 12² + 5²
H² = 144 + 25
H² = 169
H = 13 cm
If the three dimensions of the triangle are known, then the number of possible triangles is only one.
The number of triangles that can be drawn with these dimensions will be one.
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THIS IS TIMES I ONLY HAVE 5 MINUTES LEFT PLEASE SOMEONE HELP!!
Tony and Mia want to go to the Gwinnett Carnival for their first date. Each ride cost $5 and tickets cost $10 per person. They have $80 total to spend on tickets and rides.
Part A: Write an equation that models this situation.
Part B: Tony believes he and Mia can go on 12 rides each. Do you agree or disagree?
Part C: If Mia contributes an additional $20 to the total amount of money they could spend, how many more additional rides can Tony and Mia go on?
Answer:
A. 10+10+5x=80 or 20+5x=80
B. Disagree, After the pay for each person to get in the have 60 dollars left. Each ride costs 5 dollars. 60 divided by 5=12 and each of them would need a ticket, so they could only ride 6 rides/
C. 20/5=4=they could by an additional 4 tickets, each would need a ticket so they could ride 2 more rides each
Step-by-step explanation:
80-20=60
60/5=12
Answer:
Below are the answers
Step-by-step explanation:
Part A: The equation would be 5x - 20 = 80
Part B: I disagree, because each ride is $5 and if they both go on 12 that would host $120 and they only have $60 to spend. Since we took away $20 for tickets.
Part C: If Mia adds $20 dollars it would look like this 5x - 20 + 20 = 80 or
5x = 80 They would be able to go on 4 more additional rides. Because the original equation they can only go on 12 rides now they can go on 16 rides.
Hope this helps ya!
plz help it’s been due and it’s almost brake
Answer:
thanks for the points
Step-by-step explanation:
lydia wants to buy as many $3 pop sockets as she can for her friends if she has $16 which linear inequality would be used for how many she can buy
Answer:
she can buy 5
Step-by-step explanation:
A cyclist tide his a bike at a speed of 27 miles per hour. What is this speed in miles per minute? How many miles will the cyclist travel in 15 minutes? Do not round your answers
Answer:
0.45 miles per minute and 6.75
Step-by-step explanation:
27/60=0.45<-- Miles per minute
0.45x15=6.75<--Miles in 15 minutes
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Find the volume of the prism
Which equation represents a line which is parallel to the line y=1/2x + 2
Answer:
1/2
Step-by-step explanation:
Is the equation true, false, or open? Explain. -9a + 3 = -9a + 3* 5
(5 Points)
Open: there is a variable.
False; the expressions are never the same.
True; the expressions are the same for all values of the variables.
Answer:
the answer is false because 3 is multiplied with 5 on the right side
Then, when substitute any number , there remain difference
Help please this should be easy
Answer:
The answers are A, D, and E
Step-by-step explanation:
Hope this helps have a blessed day
The jazz band has 13 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answer:
13 * r
Step-by-step explanation:
If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold r raffle tickets each. The expression is multiplication.
Need help now, will give brainliest
Answer:
sorry I don't understand it
Answer:
really??
Step-by-step explanation:
A client takes 112 tablets of medication four times per day for 4 days. How many tablets will the client have taken at the end of day four?
Answer:
1792
Step-by-step explanation:
1 day = 112 × 4
= 448
4 days = 448 × 4
= 1792
Can someone please help me with proofs
Answer:
You can say in step 3 that the triangles are congruent by SAS.
Factor completely (x2 + x - 6)(2x2 + 4x)
Answer:
Eq 1) x^2 + x - 6
Factors are : x-2(x+3)
Eq 2) 2x^2 + 4x + 0
Factor out 2x
Factors are: 2x(x+2)
Answer: 2x(to the fourth power) + 6x (to the third power) - 8x (to the second power) - 24x
Step-by-step explanation: