if m<2=98, m<3=23 and m<8=70, find each measure
Answer:
Step-by-step explanation:
From the picture attached,
There are two parallel lines intersected by three transverse lines.
m∠2 = 98°, m∠3 = 23°, m∠8 = 70°
a). Since ∠1 and ∠2 are linear pairs,
m∠1 + m∠2 = 180°
m∠1 + 98° = 180°
m∠1 = 180 - 98
m∠1 = 82°
b). m∠4 = m∠7 [Corresponding angles]
m∠7 = 180° - (m∠2 + m∠3) [Property of a triangle]
= 180 - (98 + 23)
= 180 - 121
= 59°
m∠4 = m∠7 = 59°
c). m∠5 = 180° - (m∠3 + m∠4)
= 180° - (23° + 59°)
= 180° - 82°
= 98°
d). m∠6 = 180° - (m∠7 + m∠8)
= 180° - (59° + 70°)
= 180 - 129
= 51°
e). m∠7 = 59° [Calculated in part b]
f). m∠9 = 180° - (m∠4 + m∠8) [Property of a triangle]
= 180° - (59 + 70)°
= 180 - 129
= 51°
g). m∠10 = 180° - m∠9
= 180 - 51
= 129°
Will give u a crown
Answer:
[tex]E=\frac{mv^2}{2}[/tex]
Step-by-step explanation:
[tex]m=\frac{2E}{v^{2} }[/tex]
Multiply [tex]v^2[/tex] to both sides:
[tex]m*v^2=\frac{2E}{v^{2} } *v^2[/tex]
[tex]mv^2=2E[/tex]
Switch sides:
[tex]2E=mv^2[/tex]
Divide both sides by 2:
[tex]E=\frac{mv^2}{2}[/tex]
HELP ASAP PLEASE!!!!
Answer:
[tex]x^3-5x^2+10x-14[/tex]
Step-by-step explanation:
[tex]\left(2x^3-5x^2+3x-10\right)-\left(x^3-7x+4\right)[/tex]
Remove brackets:
[tex]2x^3-5x^2+3x-10-x^3+7x-4[/tex]
Group similar terms together:
[tex]2x^3-x^3-5x^2+3x+7x-10-4[/tex]
Add/Subtract the terms:
[tex]x^3-5x^2+10x-14[/tex]
Answer:
Step-by-step explanation:
( 2X³ - 5X² + 3X - 10 ) - ( X³ - 7X + 4 )
2X³ - 5X² + 3X - 10 = X² - 10
X³ - 7X + 4 = - 7X² + 4
X² - 10 - - 7X² + 4 =
X² - 10 + 7X² + 4 =
THE ANSWER IS
8X⁴ - 6
Someone plz help hurry will mark.
-2(5x+8)=14+6x in steps 1,2,3,4
x= -1.875 or x= -15/8
Step-by-step explanation:
-2(5x+8)=14+6x
-10x-16=14+6x
-16x-16=14
-16x=30
x= 30÷(-16)
x= -1.875 or -15/8
If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x?
What is 12% of 800?
Answer:
96
Step-by-step explanation:
The polygons below are similar. Find the value of x.
Answer:
16
Step-by-step explanation:
Answer:
x = 16
Step-by-step explanation:
We can use ratios to solve
8 x
-------- = ---------------
6 12
Using cross products
8 * 12 = 6x
Divide each side by 6
96 = 6x
Divide by 6
96/6 = 6x/6
16 = x
Delia went to the market to buy 4.5 pounds of sliced fruit in a container.she paid with a 20 bill and a 5 bill and received 3.67 as change.what was the cost for one pound of sliced fruit before taxes
Answer:
One pound of the item will cost 4.74 billStep-by-step explanation:
In this problem, we are told that Delia bought 4.5 pounds of fruit
and paid with a toa total bill of 20+5= 25 bill
and also she received a change of 3.67
this means that the item she bought cost 25-3.67= 21.33bill
now if 4.5 pounds of items cost 21.33 bill
then 1 pound will cost Xbill
cross multiply and solve for Xbill
X= 21.33/4.5
X= 4.74 bill
One pound of the item will cost 4.74 bill
What is the slope of a line parallel to the line through (5, -1) and (0, -6)
Answer:
The slope is 1
Step-by-step explanation:
Do the slope formula y2-y1/x2-x1
C' is the image after C(-4,-2) after a reflection across the y-axis. What are the coordinates of C'?
Answer:
(4,-2)
Step-by-step explanation:
r y-axis: (x,y) ⇒ (-x,y)
(-4,-2) ⇒ (4,-2)
Answer:
The coordinates of C is = (-4,2)
Step-by-step explanation:
y-axis
(x, y) →→→→→→→→→→→ (-x, y)
(-4,-2) →→→→→→→→→→→ (-4,2)
What value of x makes this proportion true?
O A. 20
OB. 5
O C. 6
O 0.9
Answer:
5
Step-by-step explanation:
To find this answer first you multiply 4 by 25, giving you 100, then you divide 100 by 20 to get 5.
To check your work, if you multiply 20 by five you get 100, and if you multiply 25 by four you get 100 as well.
I hope this helps u!
Pls give thx and a brainliest ;)
this is a test please help How many noncollinear points make a plane?
0
1
2
3
Answer: 3 non collinear.
Step-by-step explanation:
0.5
0.5"
- 5
f.
What is the the answer to this?
Answer:
could you be more specific pls
Write 4.36 as a mixed number in simplest form.
4.36 =
Answer: 4 9/25
Step-by-step explanation:
6) -13x = 26
I need a explanation
Answer:
x = -2Step-by-step explanation:
- 13x = 26
divide each side by -13
- 13x = 26
-13 -13
x = -2
Answer:
-2
Step-by-step explanation:
-13x =26
x=-26 :13
x=-2
An electric company calculates a persons monthly bill from the number of kilowatt kWh, x, used
The function (in photo ) determines the bill
How much is the bill for a person who uses 400 kWh in a month
A. 50
B. 60
C. 40
D. 30
Answer:
Option (A)
Step-by-step explanation:
From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.
b(x) = 0.10x when x ≤ 200
0.15(x - 200) + 20 when x > 200
For x = 400 kWh,
Function which represents the expenses of the bill,
b(400) = 0.15(400 - 200) + 20 [Since x > 200]
= 0.15(200) + 20
= 30 + 20
= $50
Therefore, Option (A) will be the answer.
7r - 1 = 2r + 9 last one for now thank you guys so much for helping me!
Answer:
[tex]r=2[/tex]
Step-by-step explanation:
[tex]7r - 1 = 2r + 9[/tex]
Add 1 to both sides:
[tex]7r-1+1=2r+9+1[/tex]
[tex]7r=2r+10[/tex]
Subtract 2r from both sides:
[tex]7r-2r=2r+10-2r[/tex]
[tex]5r=10[/tex]
Divide both sides by 5:
[tex]\frac{5r}{5}=\frac{10}{5}[/tex]
[tex]r=2[/tex]
Answer:
2
Step-by-step explanation:
What is 2/5 (6) - 3 and how do u get the answer?
Answer:
-0.6
Step-by-step explanation:
Jorge’s printer can print 36 pages in 18 minutes. How many pages can it print in 1 hour
Answer:
120 pages can be printed in 1 hour.
Step-by-step explanation:
First divide 36 by 18 to figure out how many pages can be printed in a minute.
Like this: 36 pages ÷ 18 minutes = 2 pages in one minute.
Now, multiply 2 by 60 to figure out how many pages can be printed out in a hour.
Like this: 2 pages in one minute × 60 minutes ( one hour) = 120 pages in one hour can be printed.
Hope this helps!
explain the difference between an Expression and an Equation.
Answer:
An equation has a set value or a mathematical sentence that contains an = sign. An expression is a math sentence that contains numbers, letters, and symbols( not an = tho) and the value of the variable can change.Equations and expressions are often encountered when understanding mathematical concepts. If compared with language, expressions are like phrases while equations are complete sentences. Expressions have no relations whereas equations reveal relationships. You need to solve equations while expressions can only be evaluated.Step-by-step explanation:
pls give brainliest if i helped:)
The difference between the expression and an equation is explained below:
Difference between the equation and expression:The equation represents the mathematical value while the expression could include the numbers, letters, etc. The expression should be treated as phrases while the equations are considered to be complete sentences. The expression does not show any kind of relations while the equation should show the relationship.
In this way, it should be differentiated.
learn more about an equation here: https://brainly.com/question/14006221
n/4+1=5 nnnnnnnnfegorogrohtohteohteoeoioeitleigeoeohohrhoagororohroooh
If f(x) = 5x + 40, what is f(x) when x = -5?
answers
-9
-8
7
15
Terrence deposited $5,720 in
a bank account with interest rate
6%. How much interest was
earned in 4 years?
Answer:
$1,372.80
Step-by-step explanation:
I =Prt
I =(5,720)(0.06)(4)=1,372.8
Write the expression in radical form. (96x)^2/5
Answer
Step by step explanation
Mackenzie is planning shapes to cut out of stone for a large sculpture. She puts diagrams of two figures on a coordinate grid (shown below).
Answer:
The Area of the triangle is about 0.3 m^2 less than the area of the hexagon
Step-by-step explanation:
Answer:
Answer A
Step-by-step explanation:
If (y – 1)^3 = 8, what is the value of (y + 1)^2?
Answer:
16
Step-by-step explanation:
Step 1: Write equation
(y - 1)³ = 8
Step 2: Find y
Cube root both sides: y - 1 = 2
Add 1 to both sides: y = 3
Step 3: Find question
(3 + 1)²
(4)²
16
Solve the following and explain:
2/3(9x-3)=5x+4-x
Answer:
3x(3x+2)
Step-by-step explanation:
1. Simplify: (4x2 - 2x) - (-5x2 - 8x).
Solution:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
A music festival offers one-day and three-day passes. A one day pass costs $100 and a three-day pass costs $250. write an expression for the total ticket sales if (n) one day passes and (t) three day passes are sold.
Answer:
100n+250t
Step-by-step explanation:
cost of the1 one day pass=100
cost of n one day passes=100n
cost of the 1 three day pass=250
cost of t three day passes=250t
Total sale= 100n+250t
The expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now it is given that,
Cost of one-day passes, n = $100
Cost of three-day passes, t = $250
So, Total tickets sold = Cost of one-day passes + Cost of three-day passes
⇒ Total tickets sold = n + t
⇒ n + t = $100 + $250
⇒ n + t = $350
which is the required expression for total tickets sold.
Thus, the expression for the total ticket sales if (n) one day passes and (t) three day passes are sold is n + t = $350.
To learn more about expressions :
brainly.com/question/21798279
#SPJ2
The sum of 17 and a number x is equal to 21.
Answer:
x = 4
Step-by-step explanation:
[tex]17 + x =21[/tex]
Subtract 17 on both sides
[tex]x = 4[/tex]
