The vertex angle of an isosceles triangle is 10 less than three times the base angles. Find each angle of the triangle.
Answers
(3x-10) +2x=180
5x -10=180
5x=190
x=38.
3(38)-10= 104
vertex angle is 104 degrees and each base angle is 38 degrees
From the picture attached,
ΔABC is an isosceles triangle.∠B ≅ ∠C
Vertex angle ∠A is 10 less than 3 times the base angles.m(∠A) = 3[m(∠B)] - 10
By applying angle sum theorem in ΔABC,
m(∠A) + m(∠B) + m(∠C) = 180°
m(∠A) + m(∠B) + m(∠B) = 180° [From equation (1)]
m(∠A) + 2m(∠B) = 180°
[3m(∠b) - 10] + 2m(∠B) = 180°
5[m(∠B)] = 180° + 10°
m∠B = 38°
Therefore, m∠B = m∠C = 38°
Substitute the value of angle B in equation (2),
m(∠A) = 3[m(∠B)] - 10m(∠A) = 3(38) - 10
= 104°
Therefore, measure of angle A will be 104°.
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Related Questions
Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m.
Demarcus has?
Om> 8+4
8 - m < 4
8m > 4
HELPPPPPP PLEASE
Answers
Answer:
8m > 4
Step-by-step explanation:
8m, (the amount of money Demarcus has), is more than how much money his older sister has, (4), so 8m is greater than (>) 4
Answer:
8m > 4 is the correct answer:)
In a mathematics class, the following test scores were recorded for a student. Find the mode 90, 99, 95, 78, 81, 89
Answers
Answer:
78,81,89,90,95,99
Step-by-step explanation:
there is no mode because none of the numbers repeat themselves
The mode is simply the number that appears the most in a given list.
There is no mode here.
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Answers
Answer:
[tex]x^{6}[/tex]/[tex]z^{-1}[/tex]
Step-by-step explanation:
Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number.
Answers
It says my answer needs more characters, so I’m adding this
Answer:
Step-by-step explanation:
Divide 100 by 16 and you get 6.25 then turn it into a mixed number which would be 6 25/100 then reduce 25/100 by dividing 100 by 25 and 25 by 25 which will give you 1/4 so the answer is 6 1/4.Welcome!
simplify 13 =a(2)+b(2)+c
Answers
Answer:
13=2a+2b+c
Step-by-step explanation:
The product of terms 2 and the associated variable, is the result of double the variable. For example, a(2)= 2a.
The equation (specifically the expression and its terms on the right) cannot be simplified furthermore as there are no like terms that are able to be combined.
-Hope this helps.
What is a reasonable approximation for angle be if the ratio of the adjacent leg divided by the hypotenuse is .45
Answers
Answer:
1
Step-by-step explanation:
Algebra II Part 1
What is the range of this relation?
(-3, 2), (2, -4), (2, 6), (-3,-5), (0, -3)
Answers
Point A is located at (2, 9) and is reflected in the x-axis. What is the location of Point A'?
(-2, -9)
(2, -9)
(-2, 9)
(9, -2)
Answers
The missing number in the series 9,_, 6561,43046721 is
Answers
Answer:
The missing number in the series 9,_, 6561,43046721 is
Step-by-step explanation:
Refer to the equation x - 5y = 20.
(a) Create a table of values for at least 4 points. Show your work.
(b) Use the table of values to graph the line.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equation :
X - 5y = 20
x - 20 = 5y
(x - 20) / 5 = y
x = - 5
y = (-5 - 20) / 5 = -5
x = 0
y = (0 - 20) / 5 = - 4
x = 5
y = (5 - 20) / 5 = - 3
x = 10
y = (10 - 20) / 5 = - 2
X : _____ - 5 ___ 0 ____ 5 ____10
y : _____ - 5 ___- 4 ___ - 3 ___ - 2
Kindly make use of a graph for better clarity and accuracy
k (x) = 6x + 100
k(-5) = ?
Answers
Answer:
im not super sure but i think its 70
Step-by-step explanation:
Help me out real quickkkkkkkkkkk
Answers
Answer:
A) Multiply 8 and 9
Step-by-step explanation:
to find common denominators multiply the two denominators
Answer:
a
Step-by-step explanation:
Getting stuck on these problems
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Answer:
im pretty sure it's A but I may be wrong
Pre-algebra 2x+56=22 and -99+-51=60 also 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 and (-4 , -5) and (-1 , -1). Solve Now for brainly big brain people can only solve this question!!!
Answers
Answer: 17
Step-by-step explanation:
2x + 56=22
- 56 -56
2x = -34
divide 2x by both sides
x = -17
Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Who climbed a steeper mountain? Explain.
Answers
Answer:
Mountain climber Joe climbed the steepest mountain
Step-by-step explanation:
In order to figure out who climbed the mountain you have to solve using the puthagreom theorem a squared + b squared = c squared
In this case you have multiply 12000 by 2 to replace a squared, you multiply 1500 by 2 to replace b squared and you leave c squared
Once you have that add the two numbers together, 2400+3000, this equals 5400
now you have 5400 = c squared, to solve you have to find the square root of 5400 giving you the rounded number of 73.48=c
After you have completed do the exact same thing with Mountain climber Bob. This gives you the rounded number of 61.64.
therefore, mountain climber Joe has climbed the steepest hill
i think bob climbed the steeper mountain
multiply (4u - 9s) (4u+ 9s)
Answers
Answer:
it would be 16u2-81s2 using a2-b2 formula
I will mark you brainliest
Which expression correctly represents "ten times the difference of a number and six"?
O10(n-6)
o 10(6-1)
O 10(n)-6
O 10(6)-1
Answers
Answer:
a
Step-by-step explanation:
10 x the difference ofa number"n" - 6
Answer:
I would say the first one
Step-by-step explanation:
Find the slope of the line through the given points.
(10, 11) and (15, 16)
Answers
(16-11)/(15-10) = 5/5 = 1
The slope is 1
Which statement correctly describes the expression (-60)(-5)? A. Both factors are negative, so the product will be positive. B. Both factors are negative, so the product will be negative. O C. One factor is positive and one factor is negative, so the product will be negative. D. One factor is positive and one factor is negative, so the product will be positive. SUOMI
Answers
Answer:
a
Step-by-step explanation:
Answer:
A. Both factors are negative, so the product will be positive
Step-by-step explanation:
Remember negative times negative will always be positive
And use the process of elimination:
You know that negative times negative is not negative so that eliminates B.
And there are two negatives in the equation not one positive and one negative so it is not choice C.
The same concept applies is for choice D.
Hope this helps!
HURRY PLEASE!!! I NEED TO TURN THIS IN SOON
i need an explanation too.
Answers
Answer:
X = 30°, y = 15° and z = 150°.
Reason: Look below.
Step-by-step explanation:
Hey there!
When we look into the figure, we find that;
For x:
x+ 2x + 90° = 180° {Being linear pair}
or, 3x = 180°-90°
or, 3x = 90°
or, x= 90°/3
Therefore, X = 30°.
For y :
2y = x = 30° {Alternate angles are equal}
or, 2y = 30°
y = 30°/2
Therefore, y = 15°
For z:
2y + z = 180° { Being linear pair}
or, 30°+z = 180°
or, z = 180°-30°
or, z = 150°
Therefore, z = 150°.
Hope it helps...
What value of x makes this true? x/-7=-4.
Answers
Answer:
28
Step-by-step explanation:
-4+-7=28 you just reverse the division problem
Answer:
x/-7=-4
to get rid of -7, multiply -7 on both sides of the equation
(-7)x/-7=-4(-7)
x=28
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −6
0 −3
1 0
g(x)
g(x) = 4x − 5
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answers
Answer:Assuming the problem is for the linear functions:
f(x) = -1-50-113 g(x) = -51-113*(2x-7) = -226x+740
g(x) = 2x-7
Step-by-step explanation:
Idk what to say but I need help
Answers
Answer:
12 3
24 6
36 9
48 12
Step-by-step explanation:
Enter the correct answer in the box.
Facundo crochets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies
directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
Answers
Answer: y = 3b
Step-by-step explanation:
Equation of given relationship model is y = 3b.
What is equation?Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given,
∵ each blanket requires 3 skeins of yarn
∴ b blanket requires 3b skeins of yarn
Total number of skeins = y = 3b
Hence, y = 3b
Learn more about equation here:
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#SPJ5
Which pair of triangles attempts to use SSA Congruence Postulate to prove the triangles congruent?
Answers
Answer:
the third boxes
Step-by-step explanation:
SSA is saying Side Side angle and that is the only one that follows that rule
Answer: first 3
Step-by-step explanation: no time
180 clockwise around point (0,1)
Answers
I think it is (0,-1)
can somebody find the domain for this
Answers
Domain : x<-8, x>4
Answer:
x<-8, x>4
Step-by-step explanation:
Jack wants to buy a pair of trousers for $60. When he went to the store he found that the price was marked down by 20%. How much do they cost now?
Answers
Answer: They would cost 48 dollars
Step-by-step explanation:
Answer:
$48
Step-by-step explanation:
You know that it costs $60 and it is marked DOWN by 20%. Therefore, you want to find 20% of 60 which is 12. Then, you subtract $12 from the original amount to get the cost now.
Ways to find 20% of 60
1/5 times 602 times 6Enter a numerical expression for the word expression.
the quotient of 40 and 8
Answers
Answer:
The answer is 40 divide by 8
if you want it solved then the answer is 5
Step-by-step explanation:
when the word quotient is being used in a question like this problem then you know it is going to be talking about division.
Answer: 5
Step-by-step explanation: Quotient means to divide. 40 \ 8 = 5
Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning,
Answers
Answer:
She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.
Step-by-step explanation:
Answer:
Yes she is correct cause 30 times 30 percent is 9
Step-by-step explanation: