Answers
Answer:
[tex]a) x=15\\b) AD\ is\ not\ parallel\ tp BC[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\Angle\ D=3x\\Angle\ A=2x\\Angle\ B=90\\Angle\ C=x\\The\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ states\ that\ the\ sum\ of\ all\\ the\ interior\ angles\ of\ a\ quadrilateral\ is\ 180.\\Hence,\\ \angle D+ \angle A + \angle B + \angle C=360\\3x+2x+90+x=180\\3x+2x+x=180-90\\6x=90\\x=15\\Hence, x=15[/tex]
[tex]Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.[/tex]
Related Questions
Please help and thank you im failing at school so decided to download this app
Answers
Answer:
you could scan and take a picture in the app when u login
On a coordinate plane, an absolute value graph has a vertex at (1, 3). Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answers
Answer: g(x)= |x-1| + 3
Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three
The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
The vertex is given as:
[tex](h,k) = (1,3)[/tex]
An absolute function is represented as:
[tex]y = a|x - h| + k[/tex]
Substitute 1 for h, and 3 for k
[tex]y = a|x - 1| + 3[/tex]
Assume that the value of (a) is 1
[tex]y = 1 \times |x - 1| + 3[/tex]
So, we have:
[tex]y =|x - 1| + 3[/tex]
Represent as a function
[tex]g(x) =|x - 1| + 3[/tex]
Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
Read more about absolute functions at:
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-2x + y =0
5x + 3y = -11
Answers
Answer:
(-1, -2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define Systems
-2x + y = 0
5x + 3y = -11
Step 2: Rewrite Systems
-2x + y = 0
Add 2x on both sides: y = 2xStep 3: Redefine Systems
y = 2x
5x + 3y = -11
Step 4: Solve for x
Substitution
Substitute in y: 5x + 3(2x) = -11Multiply: 5x + 6x = -11Combine like terms: 11x = -11Isolate x: x = -1Step 5: Solve for y
Define equation: y = 2xSubstitute in x: y = 2(-1)Multiply: y = -2Step 6: Graph Systems
Check the solution set.
A motorcyle was traveling down the interstate for 3.5 hours and went
297.5 miles, what was the average speed of the motorcycle driver?*
A. 85 mph
B. 87 mph
C. 90 mph
D. 93 mph
help please!?
Answers
Answer:
85 mph
Step-by-step explanation:
297.5 divided by 3.5
List the angles in order from least to Greatest.
Answers
Answer:
I think it would be B) A,B,C
Step-by-step explanation:
well A is smaller than B or C and B is smaller than C.
Which is the solution to the equation below? 32 = q/2
A) 16
B) 64
C) 46
D) 30
Answers
Answer:
Step-by-step explanation:
B buster
Answer:
64
Step-by-step explanation:
32*2 = q
q=64
Someone, please help me with this
Answers
Answer:
C = (0, 6)
E = (7, 0)
F = (0, -7)
Step-by-step explanation:
Answer: F is (0,-7)
C is (0,6)
E is (7,0)
Step-by-step explanation:
someone help asap pleasee :)
Answers
angles on a straight line add up to 180 so 180-120=60
and then angles in triangle add up to 180, so 50+60=110 and then 180-110=70
PLEASE HELP
Complete the proofs below using the most appropriate method, SSS or SAS.
7. Given: AM = CP, CM = GP, C is the midpoint of AG
Prove: A4CM = ACGP
G
M
Statements
Reasons
1.
1.
2.
2.
3.
3.
4.
4.
5.
5.
Answers
answer
AM= CP-given
CM=GP-given
C is the midpoint of AG-given
AC=CG- definition of midpoint
ACM=CGP- SSS
The complete proof is as follows:
[tex]\mathbf{AM = CP}[/tex] -- Given[tex]\mathbf{CM = GP}[/tex] -- GivenC is the midpoint of AG -- Given[tex]\mathbf{AC \cong CG}[/tex] --- Definition of Midpoint[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSSThe given parameters are:
[tex]\mathbf{AM = CP}[/tex] [tex]\mathbf{CM = GP}[/tex] C is the midpoint of AGThis means that, the above statements would represent the first three blanks, and their respective reason is "Given"
Because of (3), above
4. [tex]\mathbf{AC \cong CG}[/tex] --- midpoint definition
(1), (2) and (4) imply that:
The three sides of both triangles are congruent by SSS
Hence, the last statement would be:
[tex]\mathbf{\triangle ACM \cong \triangle CGP}[/tex] ---- Congruent by SSS
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Hillary can read 560 words in 7 minutes. how many can he ready in 1 minute?
Answers
Merry Christmas!! :)
3 4/5 - 2 1/3 and if needed simplify
Answers
Answer:
1 7/15 or 22/15
Step-by-step explanation:
A lemonade recipe calls for 6 gallons of water. How many cups of water are needed for the recipe.
Answers
Answer:
96
Step-by-step explanation:
Hope this helps
There are 400 marbles in a bag. 60 of the marbles are blue. What percent of the marblesare not blue?
Answers
Answer:
80%
Step-by-step explanation:
400-60= 320
320 is 80% of 400
what is the slope of a line passing through the points (7,5) and (3,5)
Answers
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 5)
Point (3, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5-5}{3-7}[/tex]Subtract: [tex]m=\frac{0}{-4}[/tex]Divide: [tex]m=0[/tex]Answer:
0/-4
Step-by-step explanation:
You would us the slope formula: [tex]\frac{y2-y1 }{x2-x1}[/tex]
so y2 is 5 and y1 is 5 so 5-5= 0
then x2 is 3 and x1 is 7 so 3-7= -4
so the slope is [tex]\frac{0}{-4}[/tex]
Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per hour. Michael and Landon worked a combined 14 hours and ironed 360 shirts. Graphically solve a system of equations in order to determine the number of hours Michael worked, ,x, and the number hours Landon worked, y.
I need two equations in y=mx+b form pls
Answers
Answer:
Michael worked 4 hours and Landon worked 10 hours.
Step-by-step explanation:
Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:
40x+20y=360
40x+20y=360
Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.
x+y=14
Write System of Equations:
40x+20y= 360
x+y=14
Solve for y in each equation:
40x+20y = 360 x+y = 14 20y = -40x+360
[tex]\frac{-20y}{20}[/tex] =[tex]\frac{-40x+360}{20}[/tex]
y = -2x+18
What is 1338384.444 x .8
Answers
Answer:
1070707.5552
Step-by-step explanation:
Answer:
10707075.552
Step-by-step explanation:
used a calculator because I'm way too tired to write this down...
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answers
Answer:
60 po
Step-by-step explanation:
kase na try ko na ehh
Answer:
The correct answer is 15 kilometers.
Step-by-step explanation:
We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.
In order to find this quantity, we simply need to divide 30 kilometers by 2.
30 ÷ 2 = 15
Therefore, the correct answer is 15 kilometers.
Hope this helps! :D
Which of the following sets of numbers could not represent the three sides of a right
triangle?
O {15, 20, 25}
O {20, 21, 28}
O {48, 55, 73}
{39, 80, 89}
Answers
Jason has been smoking cigarettes since he was 13 years old. He has smoked an a age of one pack of cigarettes a day since he started smoking. A single pack contains 20 individuals cigarettes. What is the number of cigarettes he will smoke by the time he's 15, 19, 25, and 50? How many packs will he have smoked by then?
Answers
Answer:
No of cigarettes
15 years of age = 14600 cigarettes
19 years of age = 43800 cigarettes
25 years of age = 87600 cigarettes
50 years of age = 270100 cigarettes
No of packs
15 years of age = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
Step-by-step explanation:
Jason started smoking when he turned 13 years of age.
Average smoking per day = 1 pack = 20 cigarettes
No of Cigarettes consumed
When he turned 15 yearsNo of days = 730 days
No of cigarettes = 730 * 20 = 14600 cigarettes
When he turns 19No of days = 6*365 = 2190 days
No of cigarettes = 2190*20 = 43800 cigarettes
When he turns 25No of days = 12*365 = 4380 days
No of cigarettes = 4380*20 = 87600 cigarettes
When he turns 50No of days = 37*365 = 13505
No of cigarettes = 13505*20 = 270100 cigarettes
No of packs
15 years of age = 14600/20 = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
The turkey Damian's dad bought at the store weighed 23 pounds after it was cooked. When his aunt cut all the meat off the bone, the meat weighed 17 pounds. Damian says that the meat of the cooked turkey was 74% of the weight of the turkey. Do you agree with Damian?
Answers
Answer:
YES.
Step-by-step explanation:
Given:
Weight of turkey with bone = 23 pound
Weight of turkey without bone = 17 pound
Computation:
Weight of turkey without bone percent = [17/23]100
Weight of turkey without bone percent = 73.913 %
Weight of turkey without bone percent = 74% (Approx)
So,
Damian says correct.
Ppz help due tomorrow
Answers
Answer:
I think it’s just option 1. Tell me if I was wrong.
Step-by-step explanation:
How much grape juice would you need to mix with 154 quarts of sparkling water?
Answers
The amount of grape juice need to mix with 15 / 4 quarts of sparkling water is , 15/8 quarts.
What is Quart measurement ?The quart is a measurement which is use to find the capacity of liquid. Or we can say Quart is a unit of liquid volume which is measured in gallon. There are different measurements into which we can convert the unit such as ounces and liters.
Mathematically, we can write :
1 quart = 32 fluid ounces
or
1 quart = 0.94 US liters = 4 cups (approx.)
According to question,
[tex]1\frac{1}{2}[/tex] quarts of water = 3/2 quarts of water = 3/4 quarts of grape
let, 15 /4 quarts of sparkling water = x
now, solving the equation
x = ( 3/4 × 15/4 ) ÷ 3/2
x= 3/4 × 15/4 ×2/3
x =15/8
Thus, The grape juice needed is , 15/8 quarts.
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The complete question is :
A recipe of sparkling grape juice is made with [tex]1\frac{1}{2}[/tex] quarts of sparkling water and 3/4 quarts of grape juice? How much of grape juice would you need to mix with 15/4 quarts of sparkling water?
Which of these is equal to 5 (8 – t)?
A) 5t - 40
B) 5t + 40
C) t - 40
D) 40 - 5t
Answers
Answer:
D) Is the correct answer 40 - 5t
Step-by-step explanation:
I hope that help's
8x5=40
5x-t=-5t
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club A charges.
The table below represents what Health Club B charges.
Answers
Answer:
The answer is below
Step-by-step explanation:
The question is not complete but I would show how this charges can be represented by an equation.
For health club A:
The graph (x, y) passes through the points (2, $136) and (4, $242). Let x represent the total months and y represent the total charges. The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-136=\frac{242-136}{4-2}(x-2)\\\\y-136=53(x-2)\\\\y-136=53x-106\\\\y=53x+30[/tex]
For health club B:
The table (x, y) has the points (4, 173) and (6, 23y). Let x represent the total months and y represent the total costs. The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-173=\frac{237-173}{6-4}(x-4)\\\\y-173=32(x-4)\\\\y-173=32x-128\\\\y=32x+45[/tex]
What is the equation of a line that has a slope of 2 and passes through point (-1, 7)?
Answers
Answer:
2x+9
Step-by-step explanation:
Help please I don’t understand
Answers
Answer:
It is xy
Step-by-step explanation:
Answer:
XY
Step-by-step explanation:
omit the hypotenuse (XZ) since it's always hypotenuse while the adjacent and opposite sides vary.
hypotenuse cannot be both adjacent and hypotenuse at the same time.
On July 4, 2017, the United States of America had a population of 325.7 million people. The total land area of the United States is 3,535,932 square miles. What was the population density of the United States on July 4, 2017? Round to the nearest tenth.
Answers
The population density in the United States is D = 92.1 people/mi^2
How to get the population density?
To get the population density, we need to take the quotient between the total number of people and the area.
In this case, we know that the total population is 325.7 million, and the area of the United States is 3,535,932 mi^2
Then the population density:
D = (325.7 million)/( 3,535,932 mi^2) = 9.21*10⁻⁵ million/mi^2
And we know that 1 million = 1,000,000 = 1*10⁶
Then:
9.21*10⁻⁵ million/mi^2 = 9.21*10¹ people/mi^2 = 92.1 people/mi^2
This means that in each square mile in the United States, there are around 92.1 people.
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x2+4<0 in graphical
Answers
I won't be able to graph for you because I am currently on phone but I will tell how to graph an Inequality in coordinate plane.
[tex] {x}^{2} + 4 < 0[/tex]
We don't need to solve the Inequality. The graph will do.
We draw the parabola with the vertex at (0,4) Basically plot point (0,4) then draw parabola.
Because it is < sign, thus the shade/region will be below the graph.
So the shade will be outside of the curve and not inside.
What is the vertex of the absolute value function defined by f(x)=|x+2|+4?
a) (2,4)
b) (-2,4)
c) (-2,-4)
d) (2,-4)
Answers
(-2, 4)
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Answers
Answer:
Each base angle of one triangle is 54°
Step-by-step explanation:
Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).
Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:
(180 – 72)/2 = 54°.
Each base angle of one triangle is 54°
The measure of a base angle of one of the triangles is 54°.
Given that,
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.
A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles.
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
We have to determine,
What is the measure of the base angle of one of the triangles?
According to the question,
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
The angles meeting in the center are congruent and all form 360°.
then it means each angle will be,
[tex]=\dfrac{360}{5}\\\\= 72 \ degree[/tex]
There are 5 angles.
Therefore,
All isosceles triangles, it means two base angles are equal and can be,
[tex]=\dfrac{180-72}{2}\\\\=\dfrac{108}{2}\\\\=54[/tex]
Hence, Each base angle of one triangle is 54°
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