A side of the triangle below has been extended to form an exterior angle of 164". Find
the value of x.
1649
Answers
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
[tex]x^\circ+53^\circ=164^\circ[/tex]
[tex]x^\circ=164^\circ-53^\circ[/tex]
[tex]x^\circ=111^\circ[/tex]
[tex]x=111[/tex]
Therefore, the value of x is 111.
Related Questions
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of money she has after 20 years?
Answers
Answer:
Use the equation 500x0.04x20 and then 500x20 and add the sums up and get 10,400 i believe is im wrong sorry :/
$900 is the total amount of money she has after 20 years.
What is simple interest?Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
From the formula of simple interest A = P(1 + rt)
Where A = amount earned
P = principal amount
r = rate of interest
t = time
In our case
P = 500
r = 4%
t = 20
Thus,
Amount earned after 20 years = 500(1 + 4*20/100)
Amount earned after 20 years = 500(1 + 4/5)
Amount earned after 20 years = 900
therefore, the total amount of money she has after 20 years is $900.
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What is the greatest common factor of 14 and 49?
Answers
Answer:
7
Step-by-step explanation:
The greatest common factor is found by listing the factors of both numbers, then finding what the biggest number is that is common.
Hope I helped!! :)
Brainliest?
Have a good night/day/afternoon!!!
The greatest common factor of 14 and 49 is 7.
To find the greatest common factor (GCF) of 14 and 49, we can determine the factors of both numbers and identify their largest common factor.
The factors of 14 are 1, 2, 7, and 14.
The factors of 49 are 1, 7, and 49.
The common factors of 14 and 49 are 1 and 7.
Since we are looking for the greatest common factor, we can conclude that the GCF of 14 and 49 is 7.
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i need help with this someone help me asap please
Answers
Answer:
5*-2 = 1/25
5*3 = 125
2*-4 = 1/16
2*5 = 32
HELP GIVING BRAINLIEST NUMBER 5!!!!!!
Answers
Answer:
1 solution
Step-by-step explanation:
4x + 5 = 6(x+3) - 20 - 2x
4x + 5 = 6x + 18 - 20 - 2x
4x + 5 = 4x -2
X = 3 therefore, there is only one solution
[100 points! Please, I need the right answer!!]
The length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. Which measurement is more precise but less accurate than Sandrine’s?
1.95 inches
2 inches
2.12 inches
3 inches
Answers
Answer:
Given that he length of a 2-inch-long thorn was measured by Sandrine to be 1.9 inches long. The measurement that is more precise among the choices given is:
2 inches.
This is because it is the closest approximation of the length compared to the rest of the approximations.
Step-by-step explanation: can i have brainliest pls
Answer:
I'm note sure but I think it's the first one
Henry rolls a fair dice 42 times. How many times would Henry expect to roll a number greater than 5?
Answers
Answer:
7 times
Step-by-step explanation:
There is one number greater than 5 on a dice - that is the number 6.
So probability of throwing a six = 1/6.
So it is 42 * 1/6.
please help me with this its my last math question will give brainly for correct answer
The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original number. Find the original number. Check your answer.
The original number is 46.
The original number is 82.
The original number is 28.
The original number is 64.
Answers
Answer:
64
Step-by-step explanation:
The following dot plot shows the pulse rates of runners after finishing a marathon:
Which of the following data sets is represented in the dot plot?
{6, 5, 2, 4}
{140, 165, 170, 180}
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
{140, 141, 142, 145, 145, 149, 150, 151, 152, 160, 165, 170, 170, 172, 178, 179, 180, 180}
Answers
Answer:
The correct answer is Option C:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Step-by-step explanation:
Dot plots are one of the tools that are used to represent data in statistics and mathematics.
As the dot plot is given, we can make the data set from the plot.
As we can see that there are 6 dots above the value 140 that means 140 occurs 6 times in the data set.
Similarly, 165 occurs 5 times, 170 two times and 180 four times.
So the dataset will be:
{140, 140, 140, 140, 140, 140, 165, 165, 165, 165, 165, 170, 170, 180, 180, 180, 180}
Reflect Rodrigo drew this diagram
related to the diagram in problem 3.
How does Rodrigo's diagram help to
support understanding of the
Pythagorean Theorem?
Answers
I need help my teacher never taught me well
Answers
Answer:
3:20
Step-by-step explanation:
Answer:
4:18
hope it helps.....
What is the slope of the line?
Answers
Answer:
I believe m=-5/3
4(10s) – 20 – 50s – 12 + 4s PLEASE HELP AND EXPLAIN
Answers
40s-20-50s-12+4s
-6s+-32
I need this answer ASAP
Answers
Answer:
The surface area is 143m
Step-by-step explanation:
(at least I think)
Read the excerpt from Heart of a Samurai.
Each of them was also given a metal stick, with four prongs on one end.
“Fork,” the sailor said – and showed them they should use it to eat the rice.
The fishermen recited their prayer before eating. “Itadakimasu – I will humbly receive.”
Then Goemon said, “It might be poison.”
What can readers infer based on details in the excerpt?
A. Goemon likes new experiences.
B. Goemon is not afraid of his rescuers.
C. Goemon does not trust his rescuers.
D. Goemon has used a fork before.
Answers
Answer:
c. goemon does not trust his rescuers.
Step-by-step explanation:
goemon said it might be poison.
he was cautious about eating the food.
??????????????????????????????
Answers
Add not divide
Justin set his watch 19 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Justin last set his watch if the watch is 50 seconds behind?
Answers
Answer:
31 days
Step-by-step explanation:
Hope this helps!
Brainiest?
Answer:
31 days
Step-by-step explanation:
you have a set number already 19 if every day the watch goes back 1 day 31+19=50
Marco needs to buy some cat food. At the nearest store, 3 bags of cat food cost $6.75. How much
would Marco spend on 2 bags of cat food?
Answers
Answer:
6.75/3=2.25
2.25 per bag
2.25x2=4.5
Step-by-step explanation:
$4.50 for 2 bags
Please simplify
–z -10y +2 +15y – 2z -10
Answers
Answer:
25y-3z-8
Step-by-step explanation:
happy to help
Answer:
-z-2z-10y+15y+2
-3z+5y+2
Step-by-step explanation:
is 5y=7x+6 linear or nonlinear
Answers
Answer:
Linear
Step-by-step explanation:
5y=7x+6 is linear equation in two variables.
I need help. For khan academy. Explain if you can
Answers
Answer: Ok so the number on the y axis is 0,-3 cause it is above -4. And the next point is 1,-5. That is because the first thing you plot is the x axis and then the y axis so that it gives you your number
What is
P =4s when p= 64
Missing variable
Answers
Answer:
s=16
Step-by-step explanation:
P=4s
Put P=64
64=4s
s=16
(4/9) to the power of 2
Answers
Answer:
24.01
Step-by-step explanation:
The question is incomplete the complete question is
Evaluate (4/9) to the power of 2.
We have given that,
(4/9)^2
Apply the product rule to 4/9.
What is the exponent rule?
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]
[tex]=\frac{4^2}{9^2}[/tex]
[tex]4^2=16[/tex]
[tex]=\frac{16}{9^2}[/tex]
[tex]9^2=81[/tex]
[tex]=\frac{16}{81}[/tex]
Therefore the (4/9) to the power of 2 is equal to [tex]\frac{16}{81}[/tex].
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Some one help ASAP please help I’m stuck
Answers
Answer:
SOH CAH TOA
Step-by-step explanation:
/hyp/2=/ opp/ 2 +/Adj/2
x2=(1/21)2 + 1/28)2
A satellite cable company charges an installation fee of $50 plus an additional $35.95 per month for service.
Answers
y = 2x - 3
y = 2x + 1
Answers
Answer:
No solution.
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
If the lines are parallel, they will have no solutions.
If the lines are the same, they will have infinite solutions.
If the lines are anything else, they will usually have 1 solution.
If we graph the systems of equations, we see that the lines are parallel.
∴ the systems has no solution.
{(1, -2), (-2, 0), (-1, 2), (1, 3)}
determine if the following relations are functions. then state the domain and range.
Answers
Domain={1,-2,-1}
Range={-2,0,2,3}
Hope this helps
Have a great day/night
Match each equation with the correct answer.
19 - 4
24 - 9
Answers
Answer:
half of 30
Step-by-step explanation:
19 - 4 = 15
24 - 9 = 15
Is (1, 6) a solution to this system of equations?
5x + 2y = 17
x + 3y = 19
yes
no
Answers
Yes
Explanation:
5x + 2y = 17
We are given the values (1, 6)
Substitute then into the equation
(I put a question mark to basically ask the question “is 5(1) + 2(6) equal to 17?”)
5(1) + 2(6) = 17?
5 + 12 = 17?
Yes!
Hope this helped and made sense :)
f(x) = -6x-1
f(-1/2) = ?
Answers
Answer:
Intersection point of this is (0,-0.5)
Step-by-step explanation:
Hope this helps :)
Can a triangle can have sides with lengths 2.7, 3.5, and 9.8.
Answers
Answer: No
Step-by-step explanation:
2.7 + 3.5 is not greater than 9.8.
Answer:
no It cant
Step-by-step explanation:
2.7 + 3.5 is not greater than 9.8.