A side of the triangle below has been extended to form an exterior angle of 164". Find
the value of x.
1649
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.
Is (1, 6) a solution to this system of equations?
5x + 2y = 17
x + 3y = 19
yes
no
y = 2x - 3
y = 2x + 1
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.
is 5y=7x+6 linear or nonlinear
Answer:
Linear
Step-by-step explanation:
5y=7x+6 is linear equation in two variables.
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of money she has after 20 years?
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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Help pls and thank you:)
Answer:
y= -3x - 1
Step-by-step explanation:
The graph intercepts y at -3 and the slope is -1
Answer:
It's the 3rd answer. y = -x - 3
Step-by-step explanation:
I need more hleppppp
Answer:
C, 40%
Step-by-step explanation:
0.15 + 0.25 is 0.4 and in percentage that is 40%
Answer:
c
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}
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}
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?
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
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Which of the following is the best estimate for the weight of a pick-up truck?
5 T
5 gal
5 lb
5 mi
Answer:
5 T
Step-by-step explanation:
It is the only one remotely close to the weight of a pick-up truck.
What is
P =4s when p= 64
Missing variable
Answer:
s=16
Step-by-step explanation:
P=4s
Put P=64
64=4s
s=16
Explain and Show the equation of line perpendicular to y=-1x+2 going through the point (6, 3)
Answer:
y = x-3 is the equation
Step-by-step explanation:
If two lines are perpendicular, the product of their slopes is -1
The general equation form of a straight line is;
y = mx + b
Fro the equation;
y = -1x + 2
The slope is -1
So the equation of the perpendicular line is as follows;
-1 * m = -1
m = 1
so we can use the point-slope equation form
That would be:
y-y1 = m(x-x1)
y-3 = 1(x-6)
y-3 = x-6
y = x-6+3
y = x-3
Please simplify
–z -10y +2 +15y – 2z -10
Answer:
25y-3z-8
Step-by-step explanation:
happy to help
Answer:
-z-2z-10y+15y+2
-3z+5y+2
Step-by-step explanation:
Help pls and thank you :)
Answer:
[tex]y=\frac{-2}{3} x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]. Here's what the variables mean:
y = the y-coordinate
m = the slope
x = the x=coordinate
b = the y-intercept (what y is equal to when the line crosses the y-axis)
First, we need to calculate the slope of the line (m). The slope is the [tex]\frac{rise}{run}[/tex] of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is [tex]\frac{-2}{3}[/tex].
We can also calculate this using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] by using two points that fall on the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Here, we can use the points (-3,3) and (0,1).
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}[/tex]
Two negatives make a positive
[tex]=\frac{1-3}{0+3}\\=\frac{-2}{3}[/tex]
Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.
Now, we plug our calculated values back into the original equation:
[tex]y=mx+b\\y=\frac{-2}{3} x+1[/tex]
I hope this helps!
I need help my teacher never taught me well
Answer:
3:20
Step-by-step explanation:
Answer:
4:18
hope it helps.....
URGENT!!
need answer asap
Answer:
1) is 34
Step-by-step explanation:
What is the greatest common factor of 14 and 49?
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
Answer:
5*-2 = 1/25
5*3 = 125
2*-4 = 1/16
2*5 = 32
[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
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
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.
Answer:
64
Step-by-step explanation:
Can a triangle can have sides with lengths 2.7, 3.5, and 9.8.
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.
The parabola y = x^2 is shifted up by 7 units and to the left by 1 unit. What is the equation of the new parabola?
Answer:
6
Step-by-step explanation:
Answer:
(x+1)^2+7
Step-by-step explanation:
khan academy
While shopping, Lucinda spent $48. If the amount she spent was 15% of her savings how much savings did she have before she shopped?
(4/9) to the power of 2
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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price club sells a 12 ounce box of crackers for 2.59 and shop mart sells 1 1/2 pound box of crackers for 4.68. the unit price at price club is _____? per ounce, and the unit at shop mart is ___? per ounce?
PLZ HELPPP!!!!! LOT OF POINTSSSS
Answer:
2.3 and 1.8
Step-by-step explanation:
solve the system by graphing.
y = -x + 5
y = x + 1
Step-by-step explanation:
the answer from the graph is:
(2 , 3)
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.
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.
I need this answer ASAP
Answer:
The surface area is 143m
Step-by-step explanation:
(at least I think)
I’ve tried and none my answers match the choices
Answer:-13/3
Step-by-step explanation: