Answers
Solution:
Note that:
Sum of interior angles = 180°(5x + 7) + (4x + 16) + (5x + 17) = 180Simplify the equation to find x.
(5x + 7) + (4x + 16) + (5x + 17) = 180=> (14x + 40) = 180=> 14x = 140=> x = 10Sum of angles=180
[tex]\\ \rm\bull\rightarrowtail 5x+7+4x+16+5x+17=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x+40=180[/tex]
[tex]\\ \rm\bull\rightarrowtail 14x=140[/tex]
[tex]\\ \rm\bull\rightarrowtail x=10[/tex]
Related Questions
simplify and solve 1/4 x 12 (thanks)
Answers
Answer:
solution is 3
Step-by-step explanation:
hope it helps
Answer:
The question simplified is 3x.
or 3
Step-by-step explanation:
Let 1995 correspond to x=0. Let b be the ratio between the population in 1995 and 1996. Determine an exponential function of the form y=a(b)^x to represent the population symbolically. Round to 3 decimal places.
Answers
The table is an illustration of an exponential function
The equation of the table is [tex]y = 148 * 0.997^x[/tex]
How to determine the equation of the tableGiven that 1995 corresponds to x = 0, then
The initial value (a) of the function is:
a = 148.0
The equation of the function is:
[tex]y = ab^x[/tex]
When x= 1, we have:
[tex]147.6 = ab^1[/tex]
[tex]147.6 = ab[/tex]
This gives
[tex]147.6 = 148b[/tex]
Divide both sides by 148
[tex]b = 0.997[/tex]
Hence, the equation of the table is:
[tex]y = 148 * 0.997^x[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
Which of the following are exterior angles? Check all that apply.
Answers
Answer:
A) 4
B) 3
F) 5
Step-by-step explanation:
The interior angle of any polygon are angles that are on the inside part of the polygon.
In the diagram in the question is a triangle, the interior angles are;
2, 1 and 6.
Exterior angles are angle that are not inside the triangle. The lie on the same line of the interior angle. Exterior angles and interior angles are complementary.
Exterior angles are: 3, 4, and 5.
please help ms i’ll mark
Answers
Answer:
4x = 16 + 4
Step-by-step explanation:
No explanation necessary.
The other solution options occur in the original equations
Answer:
4x = 16 + 4
Step-by-step explanation:
Every one of those options are correct, but only 4x = 16 + 4 hasn't been mentioned, so that's the conclusion.
Which value for R in the table would most likely indicate an association between the conditional variables? 0. 09 0. 10 0. 13 0. 79.
Answers
The value for R in the table which is most likely to indicate an association between the conditional variables is 0.79.
What is an association between the conditional variables?The association between the conditional variables, exist when the relative frequencies between the two variables are not similar.
The more the difference in the values shows the stronger the association between two.
The table given in the problem is attached below. The given option for the R value in the table is, 0.09, 0.10, 0.13, and 0.79.
As it is known that the bigger the difference, gives the stronger the association. Here, the R value with 0.79 is the most opposite to the value above the R.
Hence, the value for R in the table which is most likely to indicate an association between the conditional variables is 0.79.
Learn more about the association here;
https://brainly.com/question/359719
Answer:
D)
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.
Complete the table based on the given domain.
x y
-6
5
15
15
Answers
Answer:
x y
-6 11
3 5
15 -3
-12 15
Guaranteed Right answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
Heike runs 800 meters every day. After 9 days, how many kilometers have Heike run?
please help.
Answers
Answer:
7.2 Kilometers
Step-by-step explanation:
800 meters = 0.8 kilometers
Therefore, do 0.8 x 9
0.8 x 9 = 7.2 kilometers
Answer:
7.2
Step-by-step explanation:
800 ÷ 1,000 = 0.8
Multiply 0.8 by 0.9
Kai had 15 yards of kite string. He
had to cut off 1 of it when his kite
got stuck in a tree. How much string
did he cut off?
Answers
Answer:
he cut 5 strings to pull it out
A stainless steel patio heater is a square pyramid. The length of one side of the base is 25. 4 The slant height of the pyramid is 89. 7 What is the height of the pyramid?
I NEED HELP ASAP
Answers
Answer:
85.71
Step-by-step explanation:
slant ht, half of base and perpendicular ht form a right triangle
here slant ht is hypotenuse.
so (89.7)^2 = 25.4^2 + h^2
85.71
Hi, may someone help me with this?
Answers
A rate compares two quantities that have
Blank…
unit
Answers
Answer:
A rate compares two quantities that have
Blank…
unit
The booster club now raises $0.41 for each pom pom they sell.
Write and solve an equation to find how many pom poms they need to sell to raise fifty dollars.
(will give points if answered)
Answers
0.41p=50
Divide both sides by 0.41
0.41/0.41 cancels out.
50/0.41 = 121.951
You can’t sell 121.951 Pom Poms.
So
Answer:
0.41p=50
122 Pom poms
x divided by negative 3 is less than or equal to 3. what is the solution to the following inequality
Answers
Answer:
x is greater than or equal to -9
Step-by-step explanation:
you multiple by -3 on both sides so therefore the inequality sign flips.
Use the number line to help you decide which statement is true.
1/2 > 2/3
1/2 = 2/3
1/2 < 2/3
Answers
Answer:
the proper expression is 1/2 < 2/3
Your answer is D. 1/2<2/3
2/3 is farther on the number line so it's a larger number. Hope this helps!
-Learning with natalia-
Which statement is true of algebraic expression 5(m-3)?
Answers
Answer:
It is equal to [tex]5m-15[/tex].
Step-by-step explanation:
Multiply:
[tex]5*m=5m\\5*(-3)=-15\\5(m-3)=5m-15[/tex]
i need help please , i dont get it
Answers
Answer:
the answer is A, B’(-1,2)
Step-by-step explanation:
for problem two it is a 90 degree rotation
solve the equation r −18.6 = 21.9 for x.
Answers
Answer:
r = 40.5
Step-by-step explanation:
brainliest pls :3
Answer:
X=6,3
Step-by-step explanation:
What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48?
12
13
16
18
Answers
[tex]Hello[/tex] [tex]There![/tex]
Let's do step-by-step explanation!
[tex]10+(\frac{1}{2})[/tex] [tex]4[/tex] · [tex]48[/tex]
Multiply and divide (left and right) [tex](\frac{1}{2} )[/tex] · [tex]4[/tex] · [tex]48: 96[/tex]
[tex]=10+96[/tex]
Add and subtract (left to right) [tex]10+96:106[/tex]
Answer:
[tex]106.[/tex]
Hopefully, this helps you!!
[tex]Emilychu[/tex]
work out the value of (2^3)^2
Answers
Answer:
64
Step-by-step explanation:
(8)^2
64
What is the standard deviation around the regression line?.
Answers
Answer:
The standard deviation of the residuals calculates how much the data points spread around the regression line. The result is used to measure the error of the regression line's predictability.
Step-by-step explanation:
How do you find the standard deviation around the regression line?STDEV. S(errors) = (SQRT(1 minus R-squared)) x STDEV. S(Y). So, if you know the standard deviation of Y, and you know the correlation between Y and X, you can figure out what the standard deviation of the errors would be be if you regressed Y on X.
What does standard deviation tell you?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Any one knows? Please help
Answers
Answer:
1. 12
2.
a can be a triangle (obtuse)
b can be a triangle (acute)
Step-by-step explanation:
If a satellite travels 17,000 miles per hour
in orbit, how long will it take the satellite to
travel 4250 miles?
Answers
help will mark brainlyest
Answers
Answer:
4x - 35x - 3Step-by-step explanation:
m∠BEC = (2x+3)when x = 30°m∠BEC → (2(30)+3) → 63°m∠AED = (360-2(63))/2
m∠AED = 117°
solve for first:
(4x - 3)
(4(30) - 3)
117° ............matches.
solve for third:
5x - 33
5(30) - 33
117° ........matches
Hence the first option and third is correct. rest two are wrong.
I accidentally forgot how to calculate height pls help! im in 6th grade btw
Answers
1: 9 1/3
2: 12 1/2
3: 14 3/4
Step-by-step explanation:
A=BH
H=A/B
B=A/H
B = Base
H = Height
A = Area
Hope this help!
How many litres of fuel will a car use to travel 450 km if its fuel consumption is 6,8 km/l?
Answers
Step-by-step explanation:
are you sure the fuel consumption is given by 6,8 km/l ?
normally it is given by l/100km.
but ok, let's assume this is correct.
it would mean the car can drive 6,8 km with every liter of fuel in the tank.
how many liters will the car need to go 450 km ?
well, as many liters as 6,8 fits into 450 :
450/6,8 = 66.17647059... liters
this is not a very fuel efficient car ...
please please help me i’ll mark brainlist
Answers
Answer:
hmmm l
Step-by-step explanation:
dave builds a crate to hold veggies. the volume of the crate is 48 cubic feet. the base area of the crate is 16 square feet. what is the height of the crate?
Answers
16 sq ft = 2 ft x 8 ft
4 ft x 4 ft
but..
4 ft x 4 ft x 4 ft = 64 cubic ft
So 4 cannot be the height of this crate.
h represents the height of the crate (defined variable)
2 ft x 8 ft x h = 48 cubic ft
16h = 48
h = 3 ft
The height of the crate is 3 feet.
Check:
2 ft x 8 ft x 3 ft = 48 ft ³
Ryan ran for 10 minutes today. He plans to increase his running time by
2 minutes every day until he reaches 30 minutes. How many more days will
it take before Ryan is running for 30 minutes?
Answers
simplified expression for (-3 + 4x to the power of 2 - 4x) + (-1 - 3x to the power of 2 - 4)
Answers
Answer:
x^2 - 4x - 8
Step-by-step explanation:
see image.
combine like terms.
Please solve the complex number by finding the complex conjugate.Correct answer will get brainliest!
Answers
-2 - 2i*square root of 11/483
Answer:
I think it is -2 minus 2i by 11 over 438
