Answer:
[tex]Side\ 3 = 6x - 7[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 17x - 5[/tex]
[tex]Side\ 1 = 3x + 5[/tex]
[tex]Side\ 2 = 8x - 3[/tex]
Required
Determine the length of the third side
The perimeter of a triangle is calculated as thus:
[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
Substitute values for Perimeter, Side 1 and Side 2
[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]
Collect Like Terms
[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]
[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]
Solve for Side 3
[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]
[tex]Side\ 3 = 6x - 7[/tex]
Hence, the length of the third side is 6x - 7 units
If the measure of angle 1 is (3 x minus 4) degrees and the measure of angle 2 is (4 x + 10) degrees, what is the measure of angle 2 in degrees?
A horizontal line. A line extends from the line to form a 90 degree angle. Another line cuts through the 2 lines to form angles 1 and 2, which total 90 degrees.
32 degrees
38 degrees
58 degrees
66 degrees
Answer:
58 degrees
Step-by-step explanation:
3x-4+4x+10=90
7x+6=90
7x=84
x=12
4(12)+10=angle 2
58 degrees = angle 2
Answer:
C. 58 Degrees
Explanation:
I got it right on the quiz.
Hope this Helps!
Solve for x. 0=2x^2 - 8 x - 10
Answer:
its 1 or -5
Step-by-step explanation:
Please help me.I'll give you some points
from where I stopped, you could solve using a scientific calculator
In Triangle JKL, ∠J is congruent to ∠L. Triangle J K L is shown. Ray L K extends beyond point K to form an exterior angle that is labeled sixty-seven and eight tenths degrees. What is the measure of ∠L? Enter the correct answer in the box.
Answer:
m<L = [tex]33.9^{o}[/tex]
Step-by-step explanation:
Triangle JKL is an isosceles triangle, given that <J ≅ <L. An isosceles triangle has two of its angles and sides to be equal.
The exterior angle formed = [tex]67.8^{0}[/tex]
But,
<J + <L = [tex]67.8^{0}[/tex] (the sum of two opposite interior angles is equal to the exterior angle)
Let <J ≅ <L be represented by a, so that;
a + a = [tex]67.8^{0}[/tex]
2a = [tex]67.8^{0}[/tex]
a = [tex]\frac{67.8^{o} }{2}[/tex]
= [tex]33.9^{o}[/tex]
The measure of <L is m<L = [tex]33.9^{o}[/tex] (m<L =
Thus,
m<J ≅ m<L = [tex]33.9^{o}[/tex]
Since y’all so smart Write each fraction or mixed number as a decimal.
9 29
40
Okay
.9
then
.29
also
.40
HA THERE YOU GO
4x - 30x3 - 4x2
What is the polynomial in standard form
Answer:
-368
Step-by-step explanation:
Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief.
What is the explanatory variable?
A) age of patient
B) gender of patient
C) amount of symptom relief
D) concentration of active ingredient
Answer:
D
Step-by-step explanation:
The required explanatory variable is concentration of active ingredients. Option D is correct.
Given that,
From the paragraph, "Medical researchers studying a medication in male and female patients 20 to 29 years old noticed that, up to a certain amount, a larger concentration of an active ingredient lead to greater levels of symptom relief." it is to be determined which is an explanatory variable.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A) age of patient = Not explanatory
B) gender of the patient = Not explanatory
C) amount of symptom relief = Not explanatory
D) concentration of active ingredient = Explanatory
Thus, the required explanatory variable is the concentration of active ingredients. Option D is correct.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
t÷5/12= -3/10
Thank you if you help :)
Answer:
t = -1/8.
Step-by-step explanation:
t / 5/12 = -3/10 Invert the 5/12 and multiply:
12t / 5 = -3/10
Cross multiply:
12t * 10 = 5 * -3
120t = -15
t = -15/120 = -1/8.
The gallons of gasoline used on a car trip varies directly as the number of miles driven. If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1000 miles? Round your answer to the nearest tenth
Answer:
35.7 gallons
Step-by-step explanation:
Given that:
Distance traveled = 700 miles
Gasoline used = 25 gallons
The gallons of gasoline used are directly proportional to the number of miles traveled.
To find the gallons of gasoline to be used after driving 1000 miles, we can use the unitary method in which we first of all find, how much gallons of gasoline would be used for 1 mile and then multiply the value with 1000 to find the answer.
700 miles are traveled by gallons of gasoline = 25
1 mile is traveled by gallons of gasoline = [tex]\frac{25}{700}[/tex]
1000 miles are traveled by gallons of gasoline = [tex]\frac{25}{700}\times 1000 = \bold{35.7\ gallons}[/tex]
1.
Does the equation y = -x + 2 have a
positive or negative slope?
I believe the awnser is negative
can someone help me answer this
Rewrite the equation 2y−4x=10 in function notation where f(x)=y.
Answer:
f(x)=5+2x
Step-by-step explanation:
Give me 5 fun facts!
Daddy Long Legs arent actually spiders.
The Great Wall of China can be seen from space.
The Pepper X has been declared the hottest pepper in the world.
iCarly was cancelled.
The black widow's venom is dangerous but cant hurt you if you are super healthy but you would still need medical attention.
Your welcome. :)
Answer:
1: American flags left on the moon will eventually get bleached white by the sun.
2: White-faced capuchin monkeys greet each other by sticking their fingers up each others’ noses
3: Gummy bears were originally called "dancing bears
4: The yo-yo was originally a weapon used in the Philippine jungle
5: The Greek name for the mosquito is "anopheles," which means “good for nothing
step-by-step explanation:
Please hurry I need this fast
Answer:
int option 3
Step-by-step explanation:
Answer:
I think it is option 4
Step-by-step explanation:
could be 3 possiblyu
List the domain and range of the relation.
{(4-3), (8,8), (0.-3)(8.1) (4.3)}
The domain is
Answer:
(4,-3) Domain: 4. (8,8) Domain: 8. (0,-3) Domain: 0. (8,1) Domain: 8 (4,3) Domain: 4
How can you drop two eggs the fewest amount of times, without them breaking?
Answer, please
Bonnie is making a dipping sauce. She mixes 150150150 milliliters of soy sauce with 100100100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 111 milliliter of vinegar?
Complete Question
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answer:
1.5 mm soy sauce
Step-by-step explanation:
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Hence:
100 mm vinegar = 150mm soy sauce
1 mm vinegar = x
Cross Multiply
100 × x = 150 × 1
x = 150 × 1/100
x = 1.5 mm soy sauce
Hence, Bonnie mixes with every 1 milliliter of vinegarwoth 1.5 mm soy sauce
Complete Question
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Answer:
1.5 mm soy sauce
Step-by-step explanation:
Bonnie is making a dipping sauce. She mixes 150 milliliters of soy sauce with 100 milliliters of vinegar. How much soy sauce does Bonnie mix with every 1 milliliter of vinegar?
Hence:
100 mm vinegar = 150mm soy sauce
1 mm vinegar = x
Cross Multiply
100 × x = 150 × 1
x = 150 × 1/100
x = 1.5 mm soy sauce
Hence, Bonnie mixes with every 1 milliliter of vinegarwoth 1.5 mm soy sauce
WILL GIVE BRAINLIEST determine if the function is linear. if it is, find the rate of change
Answer:
No, the function isn't linear. I know because the following points don't form a line. The values for the last 3 are y=-x.
Step-by-step explanation:
I'm so sorry. I can't find the rate of change. Use this image to help.
how do i solve this problem ?
Answer:
find the areas of each triangle with the formula
1/2bh which is basically 1/2 multiplied by the base and height of the triangle
since there's two triangles solve the equation by dividing each triangle
A person has a rectangular board 12 inches by 16 inches around what she wants to put a uniform border of shells if she hasn't of shells were border whose area is 128 square in determine the width of the Border
Answer:
2 inches
Step-by-step explanation:
Given that:
Dimensions of rectangular board = 12 inches by 16 inches
Area of uniform border around the rectangular board = 128 square inches
To find:
Width of the border = ?
Solution:
Let the width of the uniform border = [tex]x[/tex] inches
Now, there are two rectangular shapes after the addition of border.
One rectangle with the border, one without the board.
Area of border can be found by subtracting the area of board from the area of rectangle with the board.
Dimensions of the rectangle with the border = (12+2[tex]x[/tex]) inches by (16+2[tex]x[/tex]) inches
Area of rectangle = Length [tex]\times[/tex] Width
So, area of border = ((12+2[tex]x[/tex]) [tex]\times[/tex] (16+2[tex]x[/tex])) - 16 [tex]\times[/tex] 12 = 128 square inches
[tex]\Rightarrow 4x^2+56x+192-192=128\\\Rightarrow 4x^2+56x-128=0\\\Rightarrow x^2+14x-32=0\\\Rightarrow (x+16)(x-2)=0\\\Rightarrow x = 2, -16[/tex]
Width can not be negative, so possible value of width = 2 inches
TRUE OR FALSE? 8 + 3 = 3 + 8 5 + 4x = 3d + 2 + 3 9- 3h = -3h + 9
Answer:
false
Step-by-step explanation:
1+2, 1/3+1/4, 2^3 * 2^2
(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)
y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)
If the measurement of Angle 1 = 160 degrees, what is the measurement of Angle 2?
A. 40
B. 35
C. 20
Answer:
C
Step-by-step explanation:
im pretty sure it this because it would make 180 degrees ;-;
Answer:
20 degrees
Step-by-step explanation:
angles on a straight line/ straight line angles/ supplementary angles = 180 degrees
angle 1 + angle 2 = 180 degrees
160 + angle 2 = 180
angle 2 = 180 = 160
angle 2 = 20 degrees
What is the slope of the line that passes through the points (4, -1)
And (-2,4)
Answer:
-5/6
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-(-1)/-2-4
5/-6
-5/6
Best of Luck!
Answer:
5/-6
Step-by-step explanation:
The slope formula is (y2 - y1)/(x2-x1).
Plug in the numbers.
4 - -1/-2 - 4
5/-6
in Nathan's pocket there nickels and quarters. There are three more nickels than twice the number of quarters. The coins amount to $2.60. How many quarters does Nathan have in his pocket? How many nickels does Nathan have in his pocket?
5 footballs to 9 baseballs,
The ratio of the number of footballs to the number of baseballs is,
The ratio of the number of baseballs to the number of footballs is,
Answer:
footballs to baseballs is 5:9
baseballs to footballs is 9:5
Step-by-step explanation:
football to baseball: there is 5 footballs and 9 baseballs
baseball to football: there is 9 baseballs to 5 footballs
Answer:
5:9
9:5
Step-by-step explanation:
C. How much fence would Mr. Brown need
to fence the garden?
Answer:
Whats the area or perimeter?
My teacher said to do an number line with it :(
Answer:
3+1¼=⅓+1/5=8/15
Final answer is 8/15
Step-by-step explanation:
Im not sure.....
If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48
Marissa bought x shirts that cost $19.99 each and y pairs of shorts that cost $14.99 each. The next day she went back to the store and bought 3 more shirts that cost $19.99 each and 4 more pairs of shorts that cost $14.99 each. Which expression represents the total amount Marissa spent? StartFraction x + 3 over 19.99 EndFraction + StartFraction y + 4 over 14.99 EndFraction StartFraction 3 x over 19.99 EndFraction + StartFraction 4 y over 14.99 EndFraction 19.99 (x + 3) + 14.99 (y + 4) (3 x) 19.99 + (4 y) 14.99
Answer:
19.99(x+3)+ 14.99(y+4)Step-by-step explanation:
Step one:
given data
day one
x shirts that cost $19.99 each and
y pairs of shorts that cost $14.99 each.
Day two
3 more shirts that cost $19.99 each and
4 more pairs of shorts cost $14.99 each.
Step two:
the total number of shirts is
x+3
and the total number of shorts is
y+4
The total cost is ex[ressed as
19.99(x+3)+ 14.99(y+4)
Answer:
its c!!
Step-by-step explanation:
When Bob was 5 years old his brother Fred was 2 years old how old was fred when bob was born
0
Step-by-step explanation:
bob:fred
5. : 2
0. :0
bob is older than fred with 3 years so when bob was born the fred didn't even exist
but im not sure
The freezing point of of gasoline is about -50 degrees Celsius, and the freezing point of water is 0 degrees Celsius. What is the difference between the freezing point of water and gasoline? Explain your answer.
Answer:
the difference is that -50 is -50 celsius from 0 hope this helps at all!?
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
0 is larger then -50 and you want the difference so minus them
0-(-50) now when 2 negative signs meet like this they turn to addition
0+50 which is 50
their difference is 50