If the two congruent angles (angles A and B) of an isosceles
triangle are each twice the third, non-equal angle. (angle C)
find the measure of the non equal angle, angle C.
Answers
Answer:
If the third angle is x, the other two angles are 2x
The measure of the angles of a triangle must add up to 180 degrees
x + 2(2x) = 180
x + 4x = 180
5x = 180
x = 36
The other two angles are 2x = 2 * 36 = 72
The three angles are 36, 72, and 72 degrees
Step-by-step explanation:
EXAMPLE-
x+2x+2x=180
5x=180
x=180/5
x=36º third angle
the equal angles are each 2*36=72º
The required measure of three angles are 36, 72, and 72 degrees in the given triangle.
What is an Isosceles Triangle?An Isosceles Triangle is defined as a triangle with two sides of equal length is an isosceles triangle.
Given that the third angle is x, the other two angles are 2x
We know that the measure of the angles of a triangle must add up to 180 degrees.
As per the given question, the equation would be as:
x + 2(2x) = 180
x + 4x = 180
5x = 180
x = 36
So, the other two angles are 2x = 2 × 36 = 72
Therefore, the required measure of three angles are 36, 72, and 72 degrees in the given triangle.
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Related Questions
Find the slope of a line with the given points
Answers
Answer:
C) 0
Step-by-step explanation:
Hi there!
We are given these two points: (11, -10), and (-16, -10)
We want to find the slope of these two points
The formula for the slope (m) calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have 2 points, but let's label their values to avoid any confusion.
[tex]x_1=11\\y_1=-10\\x_2=-16\\y_2=-10[/tex]
Now substitute these points into the formula (remember: the formula has SUBTRACTION)
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-10--10}{-16-11}[/tex]
simplify
m=[tex]\frac{-10+10}{-16-11}[/tex]
m=[tex]\frac{0}{-27}[/tex]
divide
m=0
The answer is 0, which is option C.
Hope this helps!
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7 – Зу = 20
y = 5х – 4
QUICK! how do i do this i need the x and y this is the Systems of equations with substitution
Answers
Answer:
x=1/15 y = -4 1/3
Step-by-step explanation:
First combine like terms.
-3y = 13
y= -13/3
y= -4 1/3
Substitute for y in next equation
-4 1/3 = 5x - 4
5x = 4 1/3 - 4
5x = 4 1/3 - 4
5x = 1/3
x = 1/3 divided by 5
Since fractions can't be divided, multiply by the inverse
x = 1/3 times 1/5 = 1/15
I need help with this
Answers
Answer:
-6
Step-by-step explanation:
greater than -8
absolute value is even
absolute value is between 5 & 11
Help ASAPPP PLEASEEE AND THANK YOUUY
Answers
Do a checkered pattern then each rows would have two
And each column should have one
Hey, can someone help me with my math homework?
Answers
aqueell ears hanan pus
pleaseee helppp
unit test due in 30 minss!!!
Answers
Answer:
Fraction: 81/100
Decimal: 0.81
Percent: 81%
Step-by-step explanation:
Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303
Answers
Answer:
111
Step-by-step explanation:
150 + 20 = 170
170 - 52 = 118
118 + 23 = 141
141 - 16 = 125
125 + 14 = 139
139 - 28 = 111
Two gallons of juice is poured into 8 containers so that each container holds the same amount of juice.
This visual model represents the situation, with each letter representing one of the containers.
Two equally sized rectangles. Each rectangle is divided into 8 equal parts. Longer lines separate every 2 parts. The first 2 parts of the first rectangle are each labeled A. The second 2 parts of the first rectangle are each labeled B. The third 2 parts of the first rectangle are each labeled C. The fourth 2 parts of the first rectangle are each labeled D. The first 2 parts of the second rectangle are each labeled E. The second 2 parts of the second rectangle are each labeled F. The third 2 parts of the second rectangle are each labeled G. The fourth 2 parts of the second rectangle are each labeled H.
How much juice does each container hold?
18 gal
14 gal
12 gal
1 gal
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:hpe this helps
someone do this plz ill pay u when im rich
Answers
Answer:
11307.19 rounded and exact is 11307.1875
Step-by-step explanation:
Answer:
Use a calculator but your answer is 11307.1875
Step-by-step explanation:
0.242296875 is what you get when the brackets are solved now multiply and divide.
848.039062 is what you get when multiplied and 11307.1875 is what you get when you divide.
Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?
a straight line
a circle
a right angle
an obtuse angle
I NEED HELP ASAP
Answers
Answer:
straight line
Step-by-step explanation:
i did it
Help me solve these please
Answers
Will give 25 points! Please Explain! Im so confused! Big test on friday!
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation
(5,2), y=x-5
a. y=-x+7
b. y=3x+1
c. y=x+7
d. y=x+ 12/5
Please Dont forget to Also Explain! Thank You!
Answers
Answer:
a. y = -x + 7
Step-by-step explanation:
The line with equation y = x - 5 has slope = 1.
A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.
y = -x + b
To find the value of b, we plug in the given point for x and y and solve for b.
y = -x + b
2 = -5 + b
b = 7
y = -x + 7
Answer: a. y = -x + 7
Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).
Answers
Answer:
3
Step-by-step explanation:
24+12 = 36
8+4 = 12
36 = _ x 12
_ is 3 since 3x12 = 36
Answer:
Ming drew the model below to represent the equation 24 + 12 = blank x (8 + 4).
Step-by-step exMing drew the model below to represent the equation 24 + 12 = blank x (8 + 4).planation:
Smash or pass? lets make this a trend :)
#3
idea from dear amj1103
Answers
Answer:
no
Step-by-step explanation:
I'm a man so..............
I don't want to get reported.. I-
is (7, 3), (8, 6), (9, 9), (10, 12) a function
Answers
Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more lumber does Kiran need in order to make the side panels?
Answers
Total height of lumber, H = 10 1/2 feet = 21/2 feet .
Height of side panel, h = 5 2/3 feet = 17/3 feet .
Now,
Extra lumber required, L = 2 × Height of side panel - Total height of lumber
[tex]L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet[/tex]
Therefore, extra lumber required is [tex]\dfrac{5}{6}[/tex] feet.
Hence, this is the required solution.
Use the diagram to complete each statement. Twelve lines are drawn to form a cube as shown. Plane AFH is parallel to plane ?
Answers
Answer:
BGC
Step-by-step explanation:
im pretty aure aorry if u get it wrong man
In a survey of 2,200 people who owned a certain type of car, 880 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
*blank*% of the people surveyed were satisfied with the car.
Answers
40%, of the people surveyed, were satisfied with the car.
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
The information that is provided is
The total number of people who are present is 2200
The number of people who are ready to buy that certain type of car is 880
The percentage of people who will be happy to buy that type or model of car is
= (880 / 2200) * 100
= 0.4 * 100
= 40%
Therfore the answer will be 40%.
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$24 lunch and 15% tip
Answers
Answer:
Total: 24.00
Tip: 3.60
Total: 27.60
Answer:
Step-by-step explanation:
27.60
Please help asap! Due tonight!
Answers
Answer:
C. 4,4,[tex]\sqrt{32}[/tex]
Step-by-step explanation:
a^2 + b^2 = c^2
4,4,[tex]\sqrt{32}[/tex]
4^2 + 4^2 = [tex]\sqrt{32}[/tex]^2
16 + 16 = 32
32 = 32
Answer:
darnnnnn the person beat me to it. it is c. 4,4,√32
Step-by-step explanation:
Choose the best correct name for the set of numbers (...,-3-2-10,1,2,3,...) Integer real numbers natural number whole numbesr rational numbers irrational numbers
Answers
Answer:
the answer should be real numbers, rational numbers, and integers
Step-by-step explanation:
Rational numbers are numbers that can be written in the form of a/b where a and b are integers. The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.
What is a rational number?Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers. Since integers are in the category of rational numbers, while rational numbers are in the category of real numbers.
Therefore, The correct name for the set of numbers (...,-3-2-10,1,2,3,...) can be either integer, rational numbers, or real numbers. But since rational numbers and real numbers are too wide, thus, the best answer choice will be integers.
Hence, The best correct name for the set of numbers (...,-3-2-10,1,2,3,...) are integers.
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Part A - Identify the outlier 3,52,54,64,69,71,77,79,82,88 Part B - Calculate the mean and median with the outlier. Part C - Calculate the mean and median without the outlier. Part D - How did the outlier affect the mean and median? Does the outlier have a greater effect on the mean or the median? Justify your answer with your calculations.
Answers
two fair dice are rolled. the score is the difference between the two dice. some of the possible scores are shown in the table.
c) which score has a probability of occurring 1/18
Answers
Answer:
Step-by-step explanation:
a). From the table attached,
Number in 1st column and 1st row = 1 - 1 = 0
Number in 1st column and 6th row = 6 - 1 = 5
Number in 2nd column and 4th row = 4 - 2 = 2
Number in 5th column and 2nd row = 5 - 2 = 3
Number in 6th column and 5th row = 6 - 5 = 1
b). Probability of scoring 1 = [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Preferred outcomes of getting = 10
Total outcomes = 36
Probability of scoring 1 = [tex]\frac{10}{36}[/tex]
= [tex]\frac{5}{18}[/tex]
c). Probability of occurring a score = [tex]\frac{1}{18}[/tex]
= [tex]\frac{1\times 2}{18\times 2}[/tex]
= [tex]\frac{2}{36}[/tex]
= [tex]\frac{\text{Preferred outcome}}{\text{Total outcomes}}[/tex]
Since, 5 is a number which has occurred twice
Score that has a probability of occurring of [tex]\frac{1}{18}[/tex] is 5.
If an item has an original price of $80 and has been discounted 20%, what is the sale price?
Answers
Answer:
$64
Step-by-step explanation:
Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80
Then we have to find 80% of 80
80%=0.80
0.80*80=64
The sale price is $64
Parallel, Perpendicular or neither
Y=-2/5x+3 Y=2/5x+8
Answers
Answer:
Perpendicular
Step-by-step explanation:
The slopes are the same except one is negative therefore they are perpendicular
1. What is the predecessor of whole
number o?
Answers
Step-by-step explanation:
The number which comes just before a particular number is called its predecessor. The predecessor of a whole number is one less than the given number. How to find the predecessor of a number? Clearly, the predecessor of 1 is 0; predecessor of 2 is 1; predecessor of 3 is 2 and so on.
Answer:
-1
Step-by-step explanation:
Predecessor of number is 1 less than it.
0-1 = -1
PLS GIVE BRAINLIEST
Helllpppppppppppppppp please
Answers
Answer:
Step-by-step explanation:
Like terms have the same variables and powers.
1). 6b and [tex]\frac{b}{2}[/tex] = [tex]\frac{1}{2}b[/tex]
5x² and x²
2). 12a² and 4a²
4x³ and 3.5x³
b and [tex]\frac{5}{6} b[/tex]
3). 8x
4). 5a² + 16
5). There are no like terms there.
6). 6b + 5n + 6b + 5n = 12b + 10n
one step equations, solve:
-6=y+2
Answers
What is the remainder when 3x2−7x+5 is divided by x+5?
Answers
Answer: 2
Step-by-step explanation:
Which shows equivalent expressions?