The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answers
Answer:
[tex]x = 46[/tex]
Step-by-step explanation:
Given
The three angles in the triangle are: x, 34 and 100
Required
Determine the value of x
Angles in a triangle add up to 180.
So, we have:
[tex]x + 34 + 100 = 180[/tex]
[tex]x + 134 = 180[/tex]
Subtract 134 from both sides
[tex]x + 134 - 134 = 180 - 134[/tex]
[tex]x = 180 - 134[/tex]
[tex]x = 46[/tex]
Hence, the measure of x is 46
Related Questions
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Answers
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
need help asap
hsjshsuehdue
Answers
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answers
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
1. A professional basketball used for league play has a diameter of 25 cm. Which of the following is closest to the volume of the basketball in cubic centimeters?
Answers
Answer:
V = 8,181.23 [tex]cm^{3}[/tex]
Step-by-step explanation:
Unfortunately, we are not given any answer choices to choose from but using the information provided we can find the actual volume of the basketball. A basketball is made in the shape of a sphere and the formula for the volume of a sphere is the following...
V = [tex]\frac{4}{3} * \pi * r^{3}[/tex]
radius of a circle/sphere is half of it's diameter. Since we are provided the diameter size we simply divide it by 2 which would give us 12.5cm. Now we simply plug this value into the formula and solve for V.
V = [tex]\frac{4}{3} * \pi * 12.5^{3}[/tex]
V = [tex]\frac{4}{3} * \pi * 1953.125[/tex]
V = 8,181.23 [tex]cm^{3}[/tex]
plz help me with this
Answers
Step-by-step explanation:
numbers 1 4 and 7
You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?
Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.
Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.
We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.
The results of this survey may be affected by nonresponse bias.
Answers
Answer:
The results of this survey may be affected by nonrepsonse bias
Step-by-step explanation:
Just took this test
Answer:
The results of the survey may be affected by no response bias
Step-by-step explanation:
If Karen's 45 minute lunch break ended at 12:30 P.M., what time did her lunch break begin?
Answers
Answer:
11:45 PM
Step-by-step explanation:
please mark brainliest :D
**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much
Answers
Answer: A,C
Step-by-step explanation: They are facing each other making them interior angles
If a second square window has an area of 100 square inches, what is the length of each side?
Answers
Answer:
25
Step-by-step explanation:
25, 50, 75, 100
Plzzzz helppppp meeeeee
Answers
Answer:
The answer is 12.
Explanation:
The bottom is seconds, and on the left side it is feet.
Look at the bottom and find the number 1.5.
Stop there on the line and move up until you hit the dark blue line.
It stops at 12. So that is your answer.
I hope this helps! Have a nice day!
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answers
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
What is negative 2 3/8 as a decimal?
Answers
On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N
Answers
Answer:
im too confused. What am i supposed to be doing?
Step-by-step explanation:
Answer:
The mass =32/24×3
The mass is 4kg
Step-by-step explanation:
PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST
Answers
Answer:
d
Step-by-step explanation:
A consumer group is investigating the relationship between sugar content and number of calories for different brands of cereal. The equation of the line of best fit for the data is y = 4x + 80, where x is the number of grams of sugar and y is the number of calories in one serving.
What is the meaning of the y-intercept in the line of best fit?
A. Out of all the brands of cereal, the greatest number of calories in one serving was 80.
B. The number of calories in one serving is estimated to be 80 if there is 0 grams of sugar.
C. Out of all the brands of cereal, there were 0 brands of cereal that had 80 calories in one serving.
D. The number of calories in one serving is expected to increase by 80 for each increase in 1 gram of sugar.
Answers
Answer:
The answer is B
Step-by-step explanation:
B says that 80 grams is what you have if x is 0 which makes more sense than the rest
The statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have:
The equation of the line of best fit for the data:
y = 4x + 80
If we put x = 0 then y:
y = 4(0) + 80
y = 80
This means the number of calories in one serving is estimated to be 80 if there are 0 grams of sugar.
Thus, the statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
#SPJ2
Look at this set of ordered pairs:
h
(5, 15)
(6,0)
(19, 5)
(-1, 12)
Is this relation a function?
no
yes
Answers
Answer:
Yes
Step-by-step explanation:
.......................
A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answers
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
Which of the following equations represents the greatest value of x?
Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4
Answers
Answer:
equation 3
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
125/3=41 which is the greatest
(can I get brainliest please)
15, 45, 70, 30, 120
What is the mean absolute deviation of the 5 text messages?
Answers
Answer:
the answer is 56
Step-by-step explanation:
15+45+70+30+120=280
280 divided by 5 is 56
To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed
Hope this helps
Have a great day!
5x-2x(x-1)=???????????????????????????????
Answers
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
Jalen bought 24 juice packs for $7.20 . Tia bought 6 juice packs for $2.70 . Which statement describes the difference in the unit prices in jalen’s and tia’s juice packs
Answers
Answer:
Jalen's purchase unit rate: 0.3
Tia's purchase unit rate: 0.45
0.45 - 0.3 =
Step-by-step explanation:
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answers
Answer:
%22.2
Step-by-step explanation:
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
Answers
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answers
Answer:
bail
Step-by-step explanation:
I WILL GIVE BRAINLEST!!!!!!!!
A dress is on sale for 35% off the regular price. Which expression represents the
price of the dress after the discount? D is to represent the regular price of the
dress after the discount.
A. 0.35d
B. 0.65d
C. 1.35d
D. 1.65d
PLZSSSSSS SHOW YOUR WORK PLZSSSSS
Answers
Answer: 0.65d (second choice)
====================================================
Explanation:
If you have a 35% discount, this means you save 35% but still pay 65% of the original price.
Notice how 35%+65% = 100%
Or you can think of it as 100% - 35% = 65%
Then we rewrite 65% into 0.65
If d is the original price, then d*0.65 = 0.65d is the price after the discount.
------------------------------
As a slightly longer alternative method, we can say,
d = original price
discount = 35% of d = 0.35d
final price = d - 0.35d
final price = 1d - 0.35d
final price = (1-0.35)d
final price = 0.65d
Benny's water bottle has 15 ounces of
water and he drinks 0.5 ounces per
second. Juan's water bottle has 10
ounces of water and he adds 0.25
ounces per second. After how many
seconds will Benny's water bottle have
no more than Juan's?
Answers
Answer:
Benny's:[tex]15/0.5= 30 \\[/tex]
= 30 seconds to complete his bottle
Juan's = [tex]10/0.25 = 40[/tex]
= 40 seconds to complete his water bottle.
Step-by-step explanation:
Hope this helped you so much with your math problem, and I hope that I get brainly.
What is the range of y = x + 20?
Answers
X=20
Explanation
2 parts. help plz. show work
Answers
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
Solve for the value of x.
Answers
Answer:
X=63
Step-by-step explanation:
180-134=46
since the sides are same, the angles are 67.
x+4=67
x=63
3/4
of a number is 24.
Find the number.
Answers
Answer:
32
Step-by-step explanation:
Divide 24 by 3/4 to find the number.
24 ÷ 3/4
= 24 × 4/3
= 32
Answer:
3/4×X=24
4×3/4×X=4×24
3x=96
X=32
Step-by-step explanation: