Answer:
EF ║ CD and AB ║ CD are the parallel segments.
Step-by-step explanation:
The given question is incomplete without picture; here is the picture attached with the answer.
Since m∠A = m∠D = 42°
Therefore, AB ║ CD and segment AD is the transverse.
Now ∠AEF + ∠IEF = 180° [Supplementary angles]
138° + ∠IEF = 180°
∠IEF = 180 - 138
= 42°
∠IHG + ∠DHG = 180° [ Supplementary angles ]
∠IHG + 122 = 180
∠IHG = 180 - 122
∠IHG = 58°
But ∠IEF ≠ ∠IHG
Therefore, EF and GH are not parallel.
If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)
But ∠IHG ≠ ∠IAB
Therefore, AB and GH are not parallel.
Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]
which reveals that EF ║ CD
Therefore, EF ║ CD and AB ║ CD
Please helpppppppppppppppp
Answer:
29520728184915396206153835295
I need help asap plssss
Answer:
x = -4
Step-by-step explanation:
(x - 5) (x + 4) = x^2 + 4x
If you expand this, you get:
x^2 - x - 20 = x^2 + 4x
graph similar terms together, the x^2 disappears:
-20 = 5x
x = -20/5 = -4
In triangle RST, mZR>m2S +mZT. Which must be true of triangle RST? Check all that apply.
OmZR > 90°
mZS + mZT< 90°
0 m2S = mZT
OmZR>mZT
OmZR>mZS
OmZS> mZT
Answer:
Step-by-step explanation:
1,2,4,5
The correct statements are,
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Here, RST is a triangle,
Therefore,
m∠R + m∠S + m∠T = 180°
⇒ m∠S+m∠T = 180° - m∠R
Since, m∠R > m∠S + m∠T
⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)
⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)
⇒ m∠S+m∠T < 180° - (m∠S + m∠T)
⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)
⇒ 2(m∠S+m∠T) < 180°
⇒ m∠S+m∠T < 90°
⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )
Again, m∠R > m∠S + m∠T
⇒ m∠R > m∠S and m∠R > m∠T
Thus, Option first second fourth and fifth are correct.
Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)
That is why m∠S = m∠T is not correct.
And, there are not enough information to prove m∠S > m∠T
That is why m∠S > m∠T is also incorrect.
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options of Answer
A) 10 bags of chips and 2 jars of salsa
B) 20 bags of chips and 2 jars of salsa
C) 14 bags of chips and 5 jars of salsa
D) 18 bags of chips and 6 jars of salsa
Answer:
D) 18 bags of chips and 6 jars of salsa
Step-by-step explanation:
Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.
Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]
Solution :
x represents chips
y represents salsa
Option a: 10 bags of chips and 2 jars of salsa
so, x = 10 and y =2
Putting values in inequality
[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]
[tex]25+8[/tex] ≤[tex]60[/tex]
[tex]33[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]
[tex]50+8[/tex]≤[tex]60[/tex]
[tex]58[/tex]≤[tex]60[/tex]
Hence it is correct.
Option c : 14 bags of chips and 5 jars of salsa
so, x = 14 and y =5
Putting values in inequality
[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]
[tex]35+20[/tex]≤[tex]60[/tex]
[tex]55[/tex]≤[tex]60[/tex]
Hence it is correct.
Option d :18 bags of chips and 6 jars of salsa
so, x = 18 and y =6
Putting values in inequality
[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]
[tex]45+24[/tex]≤[tex]60[/tex]
[tex]69\geq 60[/tex]
Hence it is not correct since it violates the inequality
-6/1 x - 3/5 divided by -0.25
Answer:
-14.4
Step-by-step explanation:
-6x(-0.6)x(-4)= -14.4
[tex] - \frac{6(5 - 2x)}{5x} [/tex]
i hope its help
Students deliver newspapers and magazines to houses.
One day, they have to deliver 850 newspapers and 1440 magazines.
Each student can deliver either 25 newspapers or 60 magazines in 1 hour.
Each student can only work for 6 hours.
Work out the minimum number of students needed.
Answer:
4 students to deliver magazines and 6 students to deliver newspaper
Step-by-step explanation:
magazine [tex] = 60 \times6 = 360 \\ 850 \div 360 = 4[/tex]newspaper [tex] = 25 \times 6 = 150 \\ 850 \div 150 = 5.6[/tex]The minimum number of students needed is 6.
Given that, in one day students can deliver 850 newspapers and 1440 magazines. Each student can deliver either 25 newspapers or 60 magazines in 1 hour.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, in 1 hour a student can deliver 25 newspapers, so in 6 hours a student can deliver 25 × 6 =150
So, number of students = 850/150 = 5.66
≈ 6
Now, 60 × 6 =360
So, number of students = 1440/360 = 4
Therefore, the minimum number of students needed is 6.
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let (3x+24) represent the measure of a right angle. what are the possible values of x?
Answer:
x=22
Step-by-step explanation:
because 3x+24=90
3x=90-24
3x=66
x=22
brainlist please
1. Solve
2 -(3 -1)=6(1- )
Answer:
2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6
Step-by-step explanation:
A salesperson earns a base salary of $400 per week plus 20%
commission on sales. He is offered double his base salary if he'll
accept half his original commission. Graph and label the original deal
and the new deal below. Next to the graph, find when the original deal
is a better choice. Explain your thinking.
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
For how to graph this, best to look at the guidelines for graphing a break-even formula.
What we do want to know is where these two values equal each other.
So, set: 400 + 0.20X = 800 + 0.10X
Subtract 400 from both sides; also subtract 0.10X from both sides, to get:
0.10X = 400
To solve for "X", divide out both sides by: 0.10, to get:
X = 4,000
What can can glean from this, is that:
(1) The sales person is better off accepting the higher base salary, up to the point of sales being no more than $4,000;
(2) The sales person is better off accepting the lower base salary, if their sales are normally expected to exceed $4,000.
Jimmy's Bike Rentals charges a $13 fixed fee plus $7 an
our for renting a bike. Amanda paid $55 to rent a bike. How
hany hours did she pay to have the bike checked out ?
Answer:
6 hours
Step-by-step explanation:
let the no. of hours she rent the bike be x
then,
13 + 7*x = 55
13 + 7x = 55
7x = 55 -13
7x = 42
x = 6
The angle measurements in the diagram are represented by the following expressions.
ZA = 5x + 34°
ZB = 2x + 76°
Solve for x and then find the measure of ZA:
ZA=
point A (-1-1) point B(-2-1)
Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.
Simplify the following fraction:
90/20
Answer:
9/2 simplified
and 4 1/2 as a mixed number
Answer:
Fraction: 9/2
Mixed: 4 1/2
Step-by-step explanation:
We do this by first finding the greatest common factor of 90 and 20, which is 10.
Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:
9/2
Therefore, this equation is true:
90/20 = 9/2
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
9/2 = 4 1/2
GIVING BRAINLIST!!! SHORT QUESTION PLS ANSWER
Answer:
Terms:4x, -2x
Coefficients:4, 2
Constant:3
For brainily please help
How do you solve this type of problem?
Thanks!
what is the mathematical sum for the equation “1+1” ?
Answer:
2... i think
step by set explanation:
please help me thanks
Answer:
18 crayon in both boxes.
Step-by-step explanation:
Asked: Greatest number of equal crayons in both boxes.
Facts:
Number of crayons in pack 1 = 24
Number of crayons in pack 2 = 12
Total crayons in both packs = 24 + 12 = 36
Plan:
If both packs need to have equal crayons, then it should be dived by 2.
Solution:
36 ÷ 2 = 18
Find the y-intercept of the following equation. Simplify your answer.
y
=
–2
x
+
4
5
x = frac{−1}{2}y + frac{45}{2}
Answer:
y- intercept = [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + [tex]\frac{4}{5}[/tex] ← is in slope- intercept form
with y- intercept c = [tex]\frac{4}{5}[/tex]
Mr. Chen hires an electrician to install the light fixtures for an addition to his house. The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function y=120+55x can be used to model the total cost of the job, in dollars. What is the independent variable in this situation, and what does it represent?
Step-by-step explanation:
y=120+55x
here,X = -24/11
Y=120
don't have time or else I would have shown the details
The independent variable in this situation is x and it represents the number of hours taken for installation
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Mr. Chen hires an electrician to install the light fixtures for an addition to his house.
The function y=120+55x can be used to model the total cost of the job, in dollars
The electrician charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation.
initial fee=120
Here x is the independent variable which represents the number of hours taken for installation
Hence, the independent variable in this situation is x and it represents the number of hours taken for installation
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Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)
Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
If you have 28 apples how many apples will you have if you divide 28 divided by 2
Answer:
14
Step-by-step explanation:
28 divided by 2 = 14
answer = 14
May I please receive help?
1. Find F(2) if f(x) = 8x+15/9x-3
2. Find the Domain of F(x) = x+8/x-7
3. R(x)= 8x+3/x^3 - 4x^2 + 3x
Answer:
thats a crazy question
Step-by-step explanation:
how the tables have turned
Answer:
8 + 4 = 12
Step-by-step explanation:
Brainyyyy
Amir is making pizza dough using a base recipe. For each cup of water, Amir needs to use 2 2/3
cups of flour. For each cup of flour he uses, Amir needs to use 1 1/2
tablespoons of olive oil. If he uses 4 cups of water, how many tablespoons of olive oil will he need?
4 cups of water would need 16 tablespoons of olive oil.
Each cup of water uses 2 2/3 cups of flour, while each cup of flour he uses, Amir needs to use 1 1/2 tablespoons of olive oil. Hence for 4 cups of water:
4 cups of water = 2 2/3 cups of flour × 4 cups = 32/3 cups of flour
32/3 cups of flour = 1 1/2 tablespoons of olive oil * 32/3 = 16 tablespoons of olive oil
4 cups of water would need 16 tablespoons of olive oil.
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the difference of complementary angles is 10 degree. find the measures of the angles.
Answer:
40° and 50°
Step-by-step explanation:
90=(x+10)+x
90=2x+10
80=2x
40=x
Therefore the answer is,
40 and 40+10
40° and 50°
Answer:
50° and 40°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x then the other is x - 10
x + x - 10 = 90
2x - 10 = 90 ( add 10 to both sides )
2x = 100 ( divide both sides by 2 )
x = 50
x - 10 = 50 - 10 = 40
The angle measures are 50° and 40°
Ms. Brown spent $5.25 on groceries and 75¢ on candies. What is the ratio of: a) cost of groceries to cost of candies b) cost of candies to total cost
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation:
Pls help!!!!!!!!!!!!
Answer:
3. W=4, L=10
4. W=4, L=8
Step-by-step explanation:
3.
L = 3W-2
W = W
P = 2L + 2W
P = 2(3W-2)+2W
P=28
2(3W-2)+2W=28
8W-4=28
8W=32
W=4
L=3W-2, or 10
Check: 2(4)+2(10) = 28? Yes
4.
L=2W
W=W
P=24
2L+2W=24
2(2W)+2W=24
6W=24
W=4
L=8
Check: 2(8)+2(4)=24 ? 16+8 = 24 Yes
Franklin's office just started a new recycling program this year. They aim to recycle 7 kilograms of paper each week. Write an equation that shows the relationship between the number of weeks Franklin's office is on the recycling program, x, and the total number of kilograms of paper recycled, y
Answer:
7x=y
Step-by-step explanation:
7x=y
7 times x(#of weeks)= y (paper recycled)
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
Franklin's office just started a new recycling program this year. They aim to recycle [tex]7[/tex] kilograms of paper each week.
So, it would be
[tex]7x=y[/tex]
Hence, the relationship between the number of weeks Franklin's office is on the recycling program is [tex]7x=y[/tex].
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George budgets $900 each month for fixed expenses. He nets $1720 semimonthly. What percent of his net monthly income does he budget for fixed expenses?
(Please help I'm VERY lost)
A. 52%
B. 26%
C. 30%
D. 25%
Answer:
B. 26%
Let say a month=30days
✓if ½ a month is 15 days
Then 30 days = 2(1720)
= $3440.00
% = (900÷3400)x100 =26%