Answer:
r = t + q - s
Step-by-step explanation:
t = r - q + s
goal is to isolate the variable
add q to both sides (this cancels the q out on the right side)
t + q = r - q + q + s
t + q = r + s
subtract s from both sides
t + q - s = r + s - s
t + q - s = r
In other words:
r = t + q - s
6. Find m2.
Can someone explain how to get the answer to this question please.
Answer:
m∠2 is 55°
Step-by-step explanation:
Let us revise some facts in geometry
In any triangle, the sum of the measures of its angles is 180°If two line intersected at a point, then they formed two pairs of vertically opposite angles, the vertically opposite angles are equal in measuresWe will use these facts to solve our question
∵ ∠1 is an angle of a triangle
∴ m∠1 + 40° + 85° = 180° ⇒ 1st fact
→ Add the like terms in the left side
∴ m∠1 + 125° = 180°
→ Subtract 125° from both sides
∴ m∠1 + 125° - 125° = 180° - 125°
∴ m∠1 = 55°
∵ ∠1 and ∠2 formed from the intersecting of two lines
∴ ∠1 and ∠2 are vertically opposite angles
∴ m∠1 = m∠2 ⇒ 2nd fact
∵ m∠1 = 55°
∴ m∠2 = 55°
What is the inverse of the function f(x) = 2x – 10?
Answer:
f^-1(x) = (x+10) / 2
Step-by-step explanation:
sooo
f(x) = 2x - 10
y = 2x - 10
x = 2y - 10
x + 10 = 2y
y = (x + 10) / 2
f^-1(x) = (x+10) / 2
Answer:
[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]
As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].
A student is ordering dried chili peppers and corn husks for a cooking class.
Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.
Devaughn is 14 years older than Sydney. The sum of their ages is 110. What is Sydney's age?
Answer:
The answer would be 48
Sydney is 48
Devaughn is 62
48 + 62 = 110
Okays so you start by doing the equation 110 - 14 = 96
then dividing 96 by 2 (96 ÷ 2) which is 48
add 14 to 48 and you will get 62. We can automatically assume that sydney is 48 because when you add 48 to 62, you will get 110. I hope that this helps! ^‿^
Help me I don’t get it
g+3f+f+g+g
g+g+g+3f+f
g(1+1+1)+f(3+1)
g(3)+f(4)
3g+4f
HELP ASAP PLSSS
Identify the relationship
BETWEEN the two angles below. Select ALL that
apply.
Linear Pair
Supplementary Angles
Congruent Angles
Complementary Angles
Vertical Angles
Adjacent Angles
Answer:
complementry and ajaecent
Step-by-step explanation:
complementry because they add up to 90 and ajecent cause they are next to each other
5. Expand the monomial x⁴y².
Answer:
23y
Step-by-step explanation:
this my answer hope it's help
make me brainless pls
The sum of two numbers is 100; the first number is 12 less than the second number? What equation best represents the following
Answer:
Let the first number be f.
Let the second number be s.
f = s-12
f+s = 100
Substitute the f in the first equation for the second equation.
s-12+s = 100
2s-12 =100
2s = 112
s = 56
Therefore f = 56-12 = 44
The 2 numbers are 56 and 44.
The tires of a semi-trailer truck are 3.2 feet tall. How many 360-degree rotations do the tires make when the truck travels 190 feet? Round your answer to the nearest whole number.
Answer:
4329deg/360deg=12 revolutions
Step-by-step explanation:
2.) Virginia stitches pants. She made 10 pairs on Monday, 12 on Tuesday, 9 on Wednesday, 11
on Thursday and 15 on Friday. She is paid $5.79 for each complete pair, How much did
Virginia earn during this week?
Answer:
in total she made 330.03$
Step-by-step explanation:
in total she made 57 pants and she paid 5.79 for each so you multiply and get the total
1.Which measuring tool will you use to get 3/4 cup
a.1/2
b.1/4 + 1/4
c.1/2 + 1/4
d. 1/2 + 1/8
The banana bread card states it serves 10 people. How much flour is required to make enough bread for 30 people?
========================================================
The card says we need 1 & 1/2 cups of flour
Let's convert this to decimal form
1 & 1/2 = 1 + 1/2
1 & 1/2 = 1 + 0.5
1 & 1/2 = 1.5
The mixed number 1 & 1/2 is equivalent to the decimal number 1.5
Now multiply this by 3. This is because the recipe originally serves 10 people, but we want to serve 3 times as many people (3*10 = 30 total).
So, 3*1.5 = 4.5
Now convert back to a mixed number
4.5 = 4 + 0.5
4.5 = 4 + 1/2
4.5 = 4 & 1/2
We'll need 4 & 1/2 cups of flour.
----------------------
Here's another way to approach the problem
Multiply 3 by 1 & 1/2 to get
3*(1 & 1/2) = 3*(1 + 1/2)
3*(1 & 1/2) = 3*1 + 3*1/2
3*(1 & 1/2) = 3 + 3/2
3*(1 & 1/2) = 3 + (2+1)/2
3*(1 & 1/2) = 3 + 2/2 + 1/2
3*(1 & 1/2) = 3+1 + 1/2
3*(1 & 1/2) = 4 + 1/2
3*(1 & 1/2) = 4 & 1/2
what is the slope of the line that passes through (3,-5) and (-7,15)
Answer:
Slope = -2
Step-by-step explanation:
Answer: The slope is -2
Step-by-step explanation: Find the difference in y-values divided by the difference in x-values
15 -(-5) = 20
-7 - 3 = -10
20/-10 = -2
Solve for r.
a = qb to
What is r equal to?
r=a−qb is the correct answer-
r=0
Step-by-step explanation:
r is not in the equation
A stick is 9 m long. A rope is 2 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each piece of rope?
Answer:
the answer is 9
Step-by-step explanation:
Given the function g(a) =4a -3. Solve for g(-2)
Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11
Step-by-step explanation: your welcome. :)
Answer:
-11
Step-by-step explanation:
g(a) = 4a -3
g(-2)= 4(-2)-3
g(-2)= -8-3
g(-2)= -11
Write the equation of the line that passes through (6, 2) with a slope of 4.
Answer:
y=mx-22
Step-by-step explanation:
Take standard line equation y=mx+c and substitute the given values of m=4, x=6, y=2 to find out the value of c
The average class size in the school is 25 students. Suppose this class is
representative of all the students in the school. How many students in this class are
boys?
Answer:
10 of the students in the class are boys
The governor of state A earns $49,185 more than the governor of state B. If the total of their salaries is $297,715, find the salaries of each.
The governor of state A earns $|
and the governor of state B earns $
Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars
Hope this helps!!!
Step-by-step explanation:
mark me brainliest please
Write 2.81 repeating as a mixed number in simplest form, if possible explain.
Answer:
2.81 as a mixed number is 2 81/100
Step-by-step explanation:
Cj walks 8 miles in 3 hours what is the unit rate does cj walk
Answer: 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
8/3 ( 8 divided by 3)
2 [tex]\frac{3}{5}[/tex]
Answer: 2 3/5
Step-by-step explanation: sorry for answering late and have a wonderful day!!!!!
also my i didnt know i walked 8 miles in 3 hours lolz. im just playin XD
7) Find the base of a triangle whose height is 12cm, and area is 96cm? Your answer
Answer:
16 cm
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Substitute given information into the formula:
96= ½ ×base ×12
Simplify:
96= 6 ×base
Divide both sides by 6:
base= 96 ÷6
base= 16 cm
Answer:
16 cm[tex] \\ [/tex]
Step-by-step explanation:
It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.
[tex] \\ [/tex]
To find the base of the triangle, we have to know this formula :
[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]
Now, substituting the values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]
Therefore,
The base of the triangle is 16 cmWhich step shows the result of applying the subtraction property of equality?
One-fourth (12 x + 8) + 4 = 3
Step
Solution
1
3 x + 2 + 4 = 3
2
3 x + 6 = 3
3
3 x = negative 3
4
x = negative 1
Answer:
1
Step-by-step explanation:
Answer:
3X + 6 = 3
Step-by-step explanation:
Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
A man gets an invoice for $460 with terms 4/10, 1/15, n/30. How much would he pay 6 days after the invoice date?
Answer:
$441.60
Step-by-step explanation:
Invoice amount: $460
Term 4/10= 4% discount if paid early within the first 10 days of the invoice date
Amount due: $441.60
Discount amount: $18.40
Invoice amount: $460
Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date
Amount due: $455.40
Discount amount: $4.60
Invoice amount: $460
Term: n/30= no discount if paid on or after the 30 days from the invoice date
Amount due: $460
Discount amount: $0
A light airplane is flying at 85 km/h on a heading of 130°. The wind is blowing at 25 km/h from a bearing of 260°. Find the ground velocity of the airplane.
Answer:
71.54km/hr
Step-by-step explanation:
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
what is the measure of 6?
explain why please
please anwser this asap.
Statement Reason
1. 3x + 7 = ∠2 (Vertically opposite angles)2. ∠2 = ∠5 (Corresponging angles)3. ∠5 = ∠6 (Vertically opposite angles)⇒ ∠2 = ∠5 = ∠6 = 3x + 7
Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.
Finding the value of x:
⇒ ∠6 + 4x + 5 = 180
⇒ 3x + 7 + 4x + 5 = 180
⇒ 7x + 12 = 180
⇒ 7x = 180 - 12
⇒ 7x = 168
⇒ 7x/7 = 168/7
⇒ x = 168/7 = 24
Now, substitute the value of x into the expression "3x + 7" to find ∠6.
Finding the measure of ∠6:
⇒ ∠6 = 3x + 7
⇒ ∠6 = 3(24) + 7
⇒ ∠6 = 72 + 7
⇒ ∠6 = 79°
what is the SSS congruence theorem?
Dominic goes jogging every morning. If m represents the number of miles he jogs each day, which expression represents the total number of miles he jogs in a week?
7 m
7 + m
7 minus m
StartFraction 7 over m EndFraction
Answer:
The expression which represents the total number of miles he jogs in a week is 7 m ⇒ A
Step-by-step explanation:
Let us solve the question
∵ Dominic goes jogging every morning
∵ m represents the number of miles he jogs each day
→ That means he jogs m miles every day
∵ There are 7 days in a week
→ That means he jogs m miles every day for 7 days
∵ m + m + m + m + m + m + m = 7 × m
∴ He jogs in 1 week 7 × m miles
∴ He jogs 7 m miles in a week
The expression which represents the total number of miles he jogs in a week is 7 m
Answer:
A. 7m
Step-by-step explanation:
Since the answer above was really long