Answers
Answer:
[tex]m\angle A = 98[/tex]Step-by-step explanation:
Since it's a triangle all it's interior angles sum up to 180°
The triangle is isosceles which means two of it's angles are equal
From the question
[tex]m\angle B = m\angle C = 41 \degree[/tex]
So to find [tex]m \angle A[/tex] add up all the angles and equate it to 180° and solve for A
That's
[tex]m\angle A + m\angle B + m\angle \: C = 180 \\ m\angle A = 180 -m\angle B - m\angle \: C \\ m\angle A = 180 - 41 - 41 \\ = 180 - 82[/tex]
We have the final answer as
[tex]m\angle A = 98[/tex]
Hope this helps you
Related Questions
Point R is on line segment \overline{QS} QS . Given QR=4,QR=4, QS=4x,QS=4x, and RS=5x-9,RS=5x−9, determine the numerical length of \overline{RS}. RS .
Answers
Answer:
RS = 16
Step-by-step explanation:
The segment addition theorem tells you ...
QR +RS = QS
4 + (5x-9) = 4x
x = 5 . . . . . . . . . . . add 5-4x
Then the length of RS is ...
RS = 5(5) -9
RS = 16
How can you tell if a representation is
NOT a function?
Answers
It is not a function if there is no pattern to the numbers
if EFH = (5x + 1)°, HFG = 62°, and EFG = (18x + 11)°, find EFH
Answers
Given:
Consider the below figure attached with this question.
∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°
To find:
The measure of ∠EFH.
Solution:
From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,
[tex]\angle EFG=\angle EFH+\angle HFG[/tex]
[tex]18x+11=(5x+1)+(62)[/tex]
[tex]18x+11=5x+63[/tex]
Isolate variable terms.
[tex]18x-5x=63-11[/tex]
[tex]13x=52[/tex]
Divide both sides by 13.
[tex]x=\dfrac{52}{13}[/tex]
[tex]x=4[/tex]
The value of x is 4.
[tex]\angle EFH=(5x+1)^\circ[/tex]
[tex]\angle EFH=(5(4)+1)^\circ[/tex]
[tex]\angle EFH=(20+1)^\circ[/tex]
[tex]\angle EFH=21^\circ[/tex]
Therefore, the measure of ∠EFH is 21°.
Simplify this expression
Thank you :)
Answers
When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5
Answers
Answer:
XY=2
dividing both sides with y
X=2/y
(to find value of X, y should be transpose to the right or remove)
when X=o.5
y=2/0.5
y=4
so value of X is 0.5 when y=4
Find the slope and y-intercept of the following equation: Y = ¾ x - ½
Answers
Answers:
Slope = 3/4
y intercept = -1/2
================================================
Explanation:
The form y = mx+b is known as slope intercept form
m is the slope and b is the y intercept
Comparing y = (3/4)x - 1/2 to y = mx+b, we see that
m = 3/4
b = -1/2
This goes with number 4
Answers
Answer:
B
Step-by-step explanation:
You are correct
Complete the explanation for why 2−3 is the same as 1 23 . Look at the pattern below. As the exponent goes down by , the value is of what it was before. 23 = 8, 22 = 4, 21 = 2, 20 = 1, x−x = 1 2 , x−x = 1 4 , x−x = 1 8 = 1 23
Answers
[tex]2^{-3}[/tex] is the same as [tex]\frac{1}{2^3}[/tex] because of the rule [tex]x^{-k} = \frac{1}{x^k}[/tex]
The negative exponent says to take the reciprocal of the base to make the exponent positive. The original base is 2, of which the reciprocal is 1/2.
Can someone please tell me how to simplify [tex](2r^2t/4t^2)^2[/tex], please?
Answers
Because you can simplify 2 and 4 to half then substance the Ts so t^2-t = t, r stays the same and you just square everything else
Can anyone Help please.
Answers
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D
Evaluate 9 – b when b = 8.
Answers
Answer:
9 - b = ? 9 - 8 = 1 So, your answer is 1.
Step-by-step explanation:
This question is confusing. Please help me!
Answers
Answer:
(A) y - x
Step-by-step explanation:
Finding a:
ax + x² = y² - ayax + ay = y² - x²a(x+y)= (y+x)(y-x)a = y - xCorrect choice is (A)
Which expression is represented by the diagram?
Answers
Answer:
Its A.
Step-by-step explanation:
hope this helps.
The expression which is represented by the graph will be -6 -(-1) so the correct option will be (A).
What is the expression?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In given figure the, one box represents -1
Now there are total 6 box = -1 times 6 = -6
Now the last box is removed it means it should be subtracted from all the box
-6 - ( One box) = -6 -(-1) hence option A will be correct.
For more about the equation
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What is the smallest power of 10 that would exceed 999,999,999,991
Answers
Answer:
Answer is 10^11 is the smallest power that would exceed 999,999,999,991
Answer:
10 to the power of 13 or 10^13
.Write a division equation so that it has a solution of -2
Answers
Let’s take the dividend, or numerator of the fraction be x.
The solution of the fraction would be -2.
x/10 = -2
Or, x= -2 x 10
Or, x= -20
Therefore, -20/10 = -2
Ans: The division equation would be -20/10 = -2.
7.
Which point on the number line best represents the location of V92?
Q
MN
.
P
ta
8
9
10
A.
Point M
B. Point N
C.
Point P
D. Point Q
Answers
Answer:
C. Point P
Step-by-step explanation:
sqrt(92) = 9.59
The point closest to 9.59 is point P.
1. Analyze Identify the relevant concepts. Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents. Solve Apply the concepts to this problem. Set up the problem. (__X 10^30) ÷ (__X 10^-2), Divide the coefficients. (__÷1.5) = ___,Then subtract the exponents. 10^30÷10^-2)=10^30-(-2), Combine the results of the two operations. (2.0 X 10^30) + (1.5 X 10^-2) = __X___, The star's mass is _________.
2. What is the mass of a star that is equal to the sun's mass divided by 1.5×10^-2? The sun's mass is 2.0×10^30 kg. Express the answer in Scientific notation. ASAP PLEASE!!
Answers
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
1.
Divide numbers written in scientific notation by dividing the coefficients and then subtracting the exponents.
let The sun's mass is 2.0×10^30 kg.
and the coefficient = 1.5x10^-2
divide the coefficients
2.0 ÷ 1.5 = 1.3
Then subtract the exponents.
= 10^30 - 10^-2
= 30 - (-2)
= 32
Combine the results of the two operations
= 1.3 and x 10^32
= 1.3 x 10^32
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
2.
given:
The sun's mass is 2.0×10^30 kg.
mass of a star = sun's mass divided by 1.5×10^-2 kg
find:
Express the answer in Scientific notation.
mass of a star = 2.0×10^30 kg
1.5×10^-2 kg
mass of a star = 1.3 X 10^32 kg
therefore,
The star's mass is 1.3 x 10^32 kg
===============================
Answer:
1. The star's mass is 1.3 x 10^32 kg.
2. The star's mass is 1.3 x 10^32 kg.
Step-by-step explanation:
i got them right on my quiz
solve for b 2b+1/2=3
Answers
Answer:
b = 5/4 ( or = 1.25)
Step-by-step explanation:
2b + (1/2) =3 (subtract 1/2 from each side
2b = 3 - (1/2)
2b = 2 1/2 (express 2 1/2 as an improper fraction = 5/2)
2b = 5/2 (divide both sdes by 2)
b = (5/2) / 2
b = 5/4
HELP ASAP!!!!! The expression 300n gives the number of 2.) calories in n cups of dry oatmeal. What is the number in 2 ¼ cups of dry oatmeal? (hint: just multiply)
Answers
Answer:
675 calories
Step-by-step explanation:
I don't know about you but for me it's easier to multiply with decimals. I turned 2 1/4 to 2.25 and because n is right next to 300 we multiply (2.25 x 300) to get 675.
Hope that helps, and have a great day!
A football team lost 9 yards during a play. The team had a combined gain or loss of 0 yards after the next play. What integer represents the yards gained or lost on the next play? Show this on the number line.
Answers
Answer:
_____________
The integer is 0
karen wants to attend a summer camp that charges $225.00 Mrs.Whittle pays karen $6.25 an hour to babysit last saturday karen made $18.75 how many more hours will karen have to baby sit in order to earn enough money for camp?
Answers
Answer:
33
Step-by-step explanation:
Start off by subtracting how much she needs, with how much she has. 225 - 18.75 = 206.25. Then you divide by how much she makes an hour, 6.25. Dividing 206.25 by 6.25 will give you 33.
Answer:
33
Step-by-step explanation:
The composition of any function, f(x), and its inverse, f'(x),
Answers
Answer:
x
Step-by-step explanation:
If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'
The composition of any function, f(x), and its inverse f'(x) is x.
What is a composition of inverse function?The composition of a function and its inverse are two mathematical concepts with practical applicability.
The objective of these two concepts is to increase the understanding of functions and all the terms related to them.
Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.
The composition of function is defined when the result of a function is obtained by applying another function.
The independent variable is another function.
Hence, The composition of any function, f(x), and its inverse f'(x) is x.
To know more about the Inverse function click the link given below.
https://brainly.com/question/5245372
what is the correct solution steps and solution to 3x+2=17?
Answers
Answer:
x=5
Step-by-step explanation:
3x+2=17
17-2=3x
15=3x
3*5=14
15=15
x=15
39. If you run at an average speed of 10 mi/h, how long will it take you to run 2.5 miles?
Answers
Answer:
25 mph
Step-by-step explanation:
Because you know mi/h means the miles PER hours, and we know that when we see the word "per" we're dealing with a rate. What we have to do here, is multiply 10(mph) is like the average, or limit. So if I'm running 2.5 miles I multiply 10 x 2.5 to get 25.
Or just move the decimal point one space because of the zero in 10.
Hope this helps, and have a great day!
If i run at an average speed of 10 mi/h, the time needed for me to run 2.5 miles is, 0.25 hour
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
An average speed = 10 mi/h,
If distance travelled = 2.5 miles
Time needed = ?
Time needed = Distance/Speed
= 2.5 / 10
= 0.25
Hence, The time needed is 0.25 hour
To know more about time, distance & speed check:
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Which expression is equivalent to 8 + n? 8n n - 8 n + 8 n = 8
Answers
Answer:
n+8
Step-by-step explanation:
8n=8(n)
n-8=n-8 (Since there is no commutative property in subtraction)
n=8 means 8=n
n+8=8+n
Because of commutative property in addition.
Hope this helps ;) ❤❤❤
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
midpoint (-5,18), endpoint (3,13)
Answers
Answer:
Hey there!
If the midpoint is (-5, 18) and the endpoint is (3, 13) the other endpoint is (-13, 23)
Let me know if this helps :)
Boris downloads a 140MB file from the internet. He downloads 60% of the file in 2 minutes, how many megabytes (MB) of the file has he downloaded?
Answers
Answer:
84 MB
Step-by-step explanation:
60% of 140 MB is:
140*60/100 = 84 MBBoris has downloaded 84 MB in 2 minutes
look at image. reflection across x=1
Answers
Answer:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Step-by-step explanation:
A' would be at (0,-4)
B' would be at (-2,1)
C' would be at (-2,-3)
Answer:
C 4,3 A 2,-5 B 1,4
Step-by-step explanation:
Evaluate the stacked function machines for an input of 21*
Answers
find tangent and explain the process
Answers
Answer:
A
Step-by-step explanation:
So we want to find the tangent of Angle QSR.
First, note that Angle QSR and Angle TSQ forms a supplementary angle. Thus:
[tex]QSR+TSQ=180[/tex]
We already know that TSQ is 150, thus:
[tex]QSR+150=180[/tex]
Subtract:
[tex]QSR=30[/tex]
So, QSR is 30 degrees.
Find tangent of 30 degrees.
[tex]\tan(30)[/tex]
1) If you know the unit circle:
At 30 degrees, our coordinate is:
[tex](\frac{\sqrt3}{2},\frac{1}{2}})[/tex]
So, our answer would be:
[tex]\tan(30)=\frac{\frac{1}{2}}{\frac{\sqrt3}{2}}[/tex]
Simplify:
[tex]\tan(30)=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
2) If you don't know the unit circle.
Recall that 30-60-90 is a special right triangle.
The side opposite to 30 is x, the side adjacent to 30 is x√3, and the hypotenuse is 2x.
Therefore, tangent of 30 is opposite over adjacent. Thus:
[tex]\tan(30)=opp/adj[/tex]
Substitute x for opposite and x√3 for adjacent. Thus:
[tex]\tan(30)=\frac{x}{x\sqrt3}[/tex]
Remove the x:
[tex]\tan(30)=\frac{1}{\sqrt3}[/tex]
Multiply both layers by √3. So:
[tex]\tan(30)=\frac{1}{\sqrt3}=\frac{\sqrt3}{3}[/tex]
Our answer is A :)