Answer:
Solving for x
5x - 9 = 3x + 7
subtract 3x from both sides
-3x -3x
2x - 9 = 7
get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction
+9 +9
2x = 16
divide by 2 since that is the inverse operation of multiplication
/2 /2
x = 8
The solution for ''x'' for the expression ( 5x – 9 = 3x + 7
What is an expression?Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.
To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.
First, we can simplify both sides of the equation by combining like terms:
5x - 9 = 3x + 7
2x - 9 = 7
Next, we can add 9 to both sides of the equation to isolate the variable term:
2x = 16
Finally, we can divide both sides of the equation by 2 to get the value of x:
x = 8
Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.
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Suppose AABC = AEFD, AEFD = AGIH, ZA = 90°, and mZF= 20°. What is mZH?
a. 20°
b. 70°
C. 90°
d. Cannot be determined
Question
If a 45°-45°-90° triangle has a hypotenuse length of 72, what is the length of each leg of the triangle?
Select the correct answer.
O 7V2
O 7
O V2
O 2
Answer: B
Step-by-step explanation:
We are given that a 45-45-90 triangle has a hypotenuse of [tex]7\sqrt{2}[/tex].
In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.
[tex]a^2+a^2=(7\sqrt{2})^{2}[/tex] [combine like terms]
[tex]2a^2=(7\sqrt{2})^2[/tex] [square root both sides]
[tex]a\sqrt{2} =7\sqrt{2}[/tex] [divide both sides by root 2]
[tex]a=7[/tex]
Now, we know that a leg is length 7, which is B.
PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.
Answer:
BFG = 135
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel
3x+15 = 5x-5
Subtract 3x from each side
3x+15-3x = 5x-5-3x
15 = 2x-5
Add 5 to each side
15+5 = 2x-5+5
20 = 2x
Divide by 2
20/2 = 2x/2
10 =x
We know that AFG + BFG = 180 since it forms a straight line
AFG + BFG = 180
3x+15 + BFG = 180
3(10) + 15 + BFG = 180
30+15 + BFG = 180
45 + BFG = 180
BFG = 180-45
BFG = 135
Answer:
<BFG = 135
Step-by-step explanation:
They are the same angle, so they will be equal to eachother.
3x + 15 = 5x - 5
-3x -3x
----------------------
15 = 2x - 5
+5 +5
-----------------------
20 = 2x
----- ----
2 2
10 = x
3(10) + 15
30 + 15
45
180-45 = 135
The answer is 135.
With the given information, which of these conclusions is reasonable? A.Town A and Town B had the same low temperatures. B.The temperatures in each town were the same every day. C.The mean low temperatures in Town A and Town B were the same. D.The variability of temperatures in Town A and Town B was the same.
Answer:
A. Town A and Town B had the same low temperatures.
Step-by-step explanation:
The towns both A and B had low temperatures is shown by the same rate of low temperatures.
Find the value of a. Round
the nearest tenth.
Answer:
a = 24.0
Step-by-step explanation:
We can use the law of sines to solve
sin 150 sin 12
---------- = ----------
a 10
Using cross products
10 sin 150 = a sin 12
10 sin 150 / sin 12 = a
a=24.04867
To the nearest tenth
a = 24.0
Find the missing side of the triangle
Answer:
missing side is √193
= 13.892443989449
if g(x) = (x) -5 ; find g(-5),g(0) and g(5).
Answer:
see below
Step-by-step explanation:
g(x) = (x) -5
Let x = -5
g(-5) = -5 -5 = -10
Let x= 0
g(0) = 0-5 = -5
Let x= 5
g(5) = 5-5 = 0
Yesterday,Kofi earned 50 cedis mowing lawns today. Kofi earned 60% of what he earned yesterday mowing lawns. How much money did kojo earn mowing lawns today
Determine the amount of money Kofi earn mowing lawns today
The amount of money Kofi earn mowing lawns today is 30 cedis
Given:
Amount Kofi earn mowing lawns yesterday = 50 cedis
Amount Kofi earn mowing laws today = 60% of yesterday's earning
= 60% of 50 cedis
= 60/100 × 50 cedis
= 0.60 × 50 cedis
= 30 cedis
Therefore, the amount of money Kofi earn mowing lawns today is 30 cedis
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What is the quotient of es031-1?
Answer:
(x - 2)
Step-by-step explanation:
Given expression is,
[tex]\frac{x^3+3x^2-4x-12}{x^2+5x+6}[/tex]
We have to find the quotient.
x² + 5x + 6) x³ + 3x² - 4x - 12(x - 2
x³ + 5x² + 6x
-2x² - 10x - 12
-2x² - 10x - 12
0
Therefore, quotient of the given expression will be (x - 2).
Answer:
X - 2
Step-by-step explanation:
please help! will mark brainliest
Answer:
x = 67
Step-by-step explanation:
∠ C = ∠ FGD ( corresponding angles )
Consecutive angles in a parallelogram sum to 180° , then
∠ B + ∠ C = 180 , substitute values
73 + x + 40 = 180
x + 113 = 180 ( subtract 113 from both sides )
x = 67
Answer:
Step-by-step explanation:
<B = <GFE The parallelograms are similar.
<GFD + <GFE = 180 Consecutive angles in a parallogram = 180
<GFD = x + 40 Given
FGE = 73 Step One
x + 40 + 73 = 180 Substitution
x + 113 = 180 Subtract 113 from both sides
x = 67
HELP ME PLZZ...Complete this proof...BRAINLY TO HELPFUL ANSWER
Answer:
1. Angles 2, 3 and angles 1,3 are complementary angles(Given)
2. To prove :
Since Angles 2, 3 and angles 1,3 are complementary.
When angles are complementary, then the sum of the measures of angles is 90 degrees.
So, and (Definition of Complementary angles)
3. (Substitution)
4. (Subtraction property of equality)
Step-by-step explanation:
Problem 2 Find the mBC.
Answer:
38º
Step-by-step explanation:
<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.
So mBC = 38º
A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost is a function of the number of miles that the car is driven. In addition to a flat fee of $75, Plan A offers a rate of $0.20 per mile for an unlimited number of miles. Plan B offers a higher mileage rate of $0.35 per mile but does not charge a flat fee for the rental.
Create a system of linear functions modeling the cost of the car rental plans, A and B, as a function of the miles driven.
For how many miles will the rental fee be the same under both plans A and B?
The solution is, at 500 miles, will the rental fee be the same under both plans A and B.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
from the given information, we get,
Plan A: y = .2x + 75
Plan B: y = .35x
Find an xy pair that satisfies both (intersection)
Substitute Plan B's y for Plan A
.35x = .2x + 75
.35x - .2x = 75
.15x = 75
x = 500
Hence, The solution is, at 500 miles, will the rental fee be the same under both plans A and B.
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A. 83°
B. 90°
C. 97°
D. cannot be determined
Answer:
90
Step-by-step explanation:
c is perpendicular to b
That means angles 5,6,7,8 are 90 degrees
a is parallel to c
That means b is perpendicular to a
That means that 1,2,3,4 are 90 degrees
<1 = 90 degrees
Answer:
the answer is 90
Step-by-step explanation:
simpliy because c and b make a right angle
Find the missing side
Answer:
[tex] \sqrt{(12) {}^{2} } + (7) {}^{2} \\ = 13.89[/tex]
Answer: x = 14
Step-by-step explanation:
[tex]h^2 = p^2 + b^2 \\x^2 = 12^2 + 7^2\\x^2 = 144+49\\x^2 = 193\\x = \sqrt{193} \\x = 13.89\\so, x = 13.9 \\so, x = 14[/tex]
Sin(a+b)=?
Cos(a+b)=
Answer:
sin (a+b)= sina*cosb - sinb*cosa
cos (a+b) = cosa*cosb + sina*sinb
Answer:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
on:
HELP PLS IM FAILING PYTHAGOREAN THEOREM
Answer: 4.6 km
Step-by-step explanation:
a^1 + b^2 = c^2
2^2 + b^2 = 5^2
4 + b^2 = 25
b = sqrt 25 - 4
b = sqrt 21 = 4.6 km
A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost. Swim Lesson Packages Number of Lessons Total Cost 1 $10 5 $40 10 $80 15 $80 Which package is the best deal? 1 lesson for $10 5 lessons for $40 10 lessons for $80 15 lessons for $80
Answer:
15 lessons for $80.
Step-by-step explanation:
find the missing side lengths answered in the simplest radical form with the denominator rationalized
9514 1404 393
Answer:
u = 7√2; v = 7
Step-by-step explanation:
The ratios of side lengths in an isosceles right triangle are ...
1 : 1 : √2 = 7 : v : u
Then v = 7 and u = 7√2.
The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options
Answer:
all of the options
Step-by-step explanation:
A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
pls answer this its a question from wootube
Answer:
Its -34 cuhcuhcuchuchcuh
Step-by-step explanation:
cuhcuhcuchucuhcuhcuhcuhcuchcuh
can i get some help please
Hi there!
[tex]\large\boxed{102^o}[/tex]
Using the triangle exterior angle theorem, we know that:
∠4 = the other two angles of the triangle combined (both are given)
Thus:
∠4 = 51 + 51 = 102°
Angle 4 is an outside angle.
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
The two opposite inside angles to angle 4 are shown as 51 and 51
Angle 4 = 51 + 51
Angle 4 = 102 degrees.
a see-saw has length 5.2 m. when one end is resting on the ground it makes an angle of 23 degrees with the ground. find the height of the other end above ground level.
answer: I did it in the picture above I hope it's clear and helpful
Find the volume of each figure. Round your answers to the nearest tenth, if necessary.
Answer:
201.1 km^3
Step-by-step explanation:
The volume of a cylinder is V=πr2h. In this problem, our radius is 8, and our heigh is 4. Plugging in our values we get:
V=π(8)(2)(4)=64π, which is approximately 201.1.
Hope this helped,
~cloud
Answer:
804.2 km^3
Step-by-step explanation:
Volume of cylinder = πr^2h
π(8)^2(4)
= 804.247719319
Rounded of to nearest 10th = 804.2 km^3
Answered by G a u t h m a t h
Which is the correct answer?
Answer:
a reflection in the y axis followed by a translation 1 unit down
Step-by-step explanation:
Reflection over the y-axis then a unit down
7+3√5/3+√5 - 7-3√5/3-√5
Answer:
0
Step-by-step explanation:
We can write the equation in a simpler form so it doesn't look like a mess of numbers:
[tex]7+\frac{3\sqrt{5}}{3}+\sqrt{5} -7 -\frac{3\sqrt{5}}{3}-\sqrt{5}[/tex]
Because we are just adding three terms together and then subtracting those exact terms, we have the answer as 0.
What is 7 3/8 rounded to the nearest whole number?
Answer:
7
Step-by-step explanation:
4/8 = 1/2
3/8 is less than 1/2 so round down
7 3/8 rounds to 7
Answer:
7
Step-by-step explanation:
7 3/8 = 7.375
The closest whole number is 7
Answer from Gauthmath
geometry translations help!!
Answer:
A' (7,-8)
B' (8,-11)
C' (4,-10)
Answered by GAUTHMATH
Answer:
Step-by-step explanation:
A will be 7,-8
B will be 8,-11
C will be 4,-10
How?
add 3 to the x coordinate of the original points and -7 to the y coordinate of the original points, Example: 4+3 = 7 and -1+-7 = -8
SOMEONE HELP ME PLEASE
