A series of isosceles triangles are drawn between two red line segments.
a
= 22°.
Work out
x
, explaining each stage of your working in the comment box.
Answers
Based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
What is an Isosceles Triangle?An isosceles triangle has two base angles of equal length.
Given that, a = 22°, and using the information in the image attached below, we have the following:
m∠1 = a = 22° (base angles)
m∠2 = a + m∠1 = 22 + 22 = 44° (external angle theorem)
m∠3 = m∠2 =44° (base angles)
m∠4 = 180 - (180 - m∠2 - m∠3) - m∠1 = 180 - (180 - 44 - 44) - 22
m∠4 = 70°
m∠5 = m∠4 = 70° (base angles)
m∠6 = 180 - (180 - m∠5 - m∠4) - m∠3
m∠6 = 180 - (180 - 70 - 70) - 44
m∠6 = 96°
m∠7 = m∠6 = 96° (base angles)
x = 180 - m∠7
x = 180 - 96
x = 84°
Therefore, based on the definition of isosceles triangle, the value of x in the given diagram is: 84°.
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Related Questions
Please Help! I will give brainlest! It locks in an Hour!
Answers
Answer:
0 and 2π/3
3rd and 4th
Step-by-step explanation:
HELP I GIVE 15 POINTS
Answers
Which part of the proof does the fourth statement and reason represent?
Given: AB ≅ BC
BC ≅ EF
Prove: EG = AB + FG
A line contains point A, B, C.
A 2-column table has 6 rows. Column 1 is labeled Statements with entries line segment A B is-congruent-to line segment B C, line segment B C is congruent to line segment E F, line segment A B is-congruent-to line segment E F, A B = E F, E G = E F + F G, E G = A B + F G. Column 2 is labeled reasons with entries given, given, transitive property, definition of congruent segments, segment addition, and substitution.
It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.
Answers
Answer:
It is part of the argument.
Step-by-step explanation:
AB + BC = AC.
So, the line segment EG , F lies on the line segment;
Therefore, by segment addition postulates we have below:
EG = EF + FG
By substitution AB=EF
EG = AB + FG
~~~~~~~~~~~~~~~~~~~~
Given: AB ≅ BC
BC ≅ EF
Prove: EG = AB + FG
~~~~~~~~~~~~~~~~~~~~~~
~lenvy~
Answer:
It is part of the argument.
Step-by-step explanation:
The answer above is correct.
A^2 = 4 and B^2 = 3. What is C^2 × 15?
Answers
Answer:
105
Step-by-step explanation:
Assuming A^2 + B^2 = C^2:
C^2 = 4 + 3 = 7
So,
C^2 * 15 = 49(15) = 105
Note: Since the relationship between A, B, and C isn't known, it cannot be said for certain that 105 is the answer.
Step-by-step explanation:
there is no C in the first 2 equations. There is no A or B in the last expression. I do not think you can solve this.
Use Cramer's rule to solve for x
x + 4y - z=-14
5x + 6y + 3z = 4
-2x + 7y + 2z = -17
Answers
Answer:
( 2, 3, 4 )
Step-by-step explanation:
Answer:
The answers are below...
IAI = 1 4 -1 IAxI= -14 4 -1
5 6 3 4 6 3
-2 7 2 -17 7 2
IAI = B -120
IAxI = A -240
X = 2
Help me with factor trees pls it’s timed
There is a photo if u click
Answers
Answer:
28
4 7
2 2
here it is, hope it helps :)
x-3y+2x+4 combining like terms
Answers
Answer:
3x-3y+4
Step-by-step explanation:
Answer:
3x-3y+4
Step-by-step explanation:
x-3y+2x+4
Assume the coefficient of term x is 1, so: 1x-3y+2x+4
1x and 2x are the only like terms, so we combine them and the final answer is:
3x-3y+4
If x = 8, how much more wallpaper will Tara need for the living room than the bedroom?
Answers
Answer:
sorry theres not enough information to tell.
Step-by-step explanation:
:(
Write an expression that represents the height of a tree that began at 6 feet an increases by 2 feet per year. Let y represent the number of years
Answers
Answer:
Yes.
Step-by-step explanation:
The expression 2y + 6 could be used to denote the tree's height.
What is an expression?A number, a variable, or a mixture of numbers and variables, along with operation symbols, make up an expression. Two expressions joined by an equal sign form an equation.
Given, the height of a tree that began at 6 feet and increases by 2 feet per year. Let y represent the number of years
Expression = 2y + 6
Since the height of the tree starts at 6 feet thus positive 6 would be constant and it increases by 2 feet every year thus 2 would be the multiple of the variable that is y.
therefore, an Expression that represents the height of the tree would be 2y + 6.
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What are interesting applications of real analysis?dont steal my points
Answers
Answer:
Real analysis serves as the basis for measure theory, axiomatic probability, which follow to stochastic processes. Stochastic processes are used in finance, trading, computer and network simulations, modelling, manufacturing, quality control, etc
How many 1/2 are in 5
Answers
Anyone know the answer to this
Answers
Rewrite (123 + 456) + 789 using the Associative Law of Addition
Answers
Answer:
123 + (456 + 789)
Step-by-step explanation:
since this is an addition problem, the parenthesis don't matter, and they can be put wherever you want.
(123 + 456) + 789
123 + 456 + 789
(123 + 456 + 789)
123 + (456 + 789)
technically, any of these would work, but I think the kind of answer the problem is looking for is;
123 + (456 + 789)
Aplumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which
expression models the cost of a job lasting h hours, when h is greater than 1?
O 75-30h
O 75+ 30(h-1)
O 75h+30
75(h-1)+30
Answers
[tex]\longrightarrow \sf 75+ 30(h-1) [/tex]
Solution:-Given that :-
job last for h hours Cost of job lasting more than 1 hour = $30Cost for the first hour = $75[tex]\leadsto[/tex]Remaining hours for which the job will last after first hour= (h-1)
Therefore,
Cost for subsequent hours = 30×(h-1)
= 30(h-1)
Total Cost for job = Cost for 1st hour + Cost for subsequent hours
[tex]\quad\quad\quad\quad\quad\quad\quad\quad\boxed{\sf{= 75+30(h-1)}}[/tex]
The graph of f(x) shown below
Answers
Answer:
C
Step-by-step explanation:
the "-" sign can't be true, because that would have turned the whole graph of x² upside-down. but it is not.
so, we need a positive sign for the x term.
and the whole graph is shifted to the right. so the functional value of x of F(x) is now the same that happened "earlier" (for smaller x) with G(x). so, the argument "x" is now reduced (by 3 units, as the graph is shifted right by 3 units) in the calculation compared to the original G(x) calculation.
therefore, the ...(x-3)... expression is right.
so, positive sign and "(x-3)" is only in C.
3
A goalkeeper saves 7 out of 50 penalties.
a
Estimate the probability that a penalty is saved.
Answers
Answer:
Step-by-step explanation:
7 of 50 calculate percentage= 7/50x 100 = 14% =14/100.
Simplify 14/100= \frac{7}{50} probability.,
Help help help! Im stuck please help!
Answers
Answer:
1) 8/15
Step-by-step explanation:
When dividing by a number, multiply by its reciprocal.
2/5 ÷ 3/4
2/5 × 4/3
8/15
The sum of two consecutive numbers is
thirty-five, what are the numbers?
Answers
Answer:
17 and 18
Step-by-step explanation:
divide 35 by 2 and u get 17.5, this is in between 17 and 18 so that's why they are they consecutive numbers.
4a + 5b – 6c = 2
Find the value of a for-3a - 2b + 7c = –15.
-a + 4b + 2c = -13
A. -3
B. -2
C. -1
D. -4
Answers
9514 1404 393
Answer:
A. -3
Step-by-step explanation:
The reduced row echelon form* of ...
[tex]\left[\begin{array}{ccc|c}4&5&-6&2\\-3&-2&7&-15\\-1&4&2&-13\end{array}\right][/tex]
is ...
[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&-4\end{array}\right][/tex]
which tells you the value of 'a' is -3.
_____
* Many scientific and/or graphing calculators and web sites can find the reduced row echelon form of a matrix for you. Or, for a single variable (such as 'a'), you can use Cramer's rule. That requires you compute two 3×3 matrix determinants. Again, there are many calculators, apps, and web sites that will make this calculation for you.
[tex]a=\dfrac{\left|\begin{array}{ccc}2&5&-6\\-15&-2&7\\-13&4&2\end{array}\right| }{\left|\begin{array}{ccc}4&5&-6\\-3&-2&7\\-1&4&2\end{array}\right|}=\dfrac{147}{-49}=-3[/tex]
Helppp meeee !!
!!
!!
Answers
Answer:
no
Step-by-step explanation:
3^3=27
so 3^3+3^3+3^3=27+27+27=81
3^9=19683
Answer:
No it's not same because we cannot add degrees. 3^9 is much greater than 3^3+3^3+3^3.
27+27+27≠ 19, 683
81≠19,683
Pls mark me brainliest
Step-by-step explanation:
in each linear equation identify the slope (m) and the y-intercept (b)
Answers
Answer:
a is D and b is C
Step-by-step explanation:
Slope is always with an x, b is always alone
Hey there!
Please remember that
in slope-intercept form, m is the slope, and b is the y-intercept.Is y=4x-5 written in slope-intercept form (y=mx+b)? Sure! :)
Therefore, the slope, m, is 4, and the y-intercept, b, is -5.
Same with the second equation:
y=2/3-x
or
y=x-2/3
here, the y-intercept, b, is 2/3, and the slope, m, is -1.
Now, what's the equation of the line with a slope of 2 and a y-intercept of -7?
That's right, y=2x-7.
Hope everything is clear.
Let me know if you have any other questions!
#LearningDoesn'tEnd
:-)
Work out an approximation for 3.1 x 9.87
Answers
Answer:
3 x 10= 30
Step-by-step explanation:
Round 3.1 to 3. Round 9.87 to 10. Plug numbers in.
Answer:
30.597
Step-by-step explanation:
3.1×9.87 (3 decimal places)
So, 31×987 = 30,597
Place the decimal places hence, 30.597
Ayuda porfa es para ahora
Answers
Answer:
i really dont know this is hard hm
Step-by-step explanation:
What is the y- intercept of the line. y + 11 = -2(x + 1.5)?
Answers
Answer:
(0, -14)
Step-by-step explanation:
one number is 2 more than another. the difference between their squares is 60 what are the numbers
Answers
So: x^2 + 4x + 4 - x^2 = 60
Please help with angle b.
Answers
Answer:
b = 133
Step-by-step explanation:
a company claims that their new bottle holds 25% more laundry soap. if their original container held 53 fluid ounces of soap. how much does the new container hold
Answers
Answer:
how do star appear to move in night sky
Jerry, Skyler and Kyle were measuring the tank (cylinder) for storing water tower on the hill. Working together Jerry and Skyler
determine the circumference was approximately 295.3 feet. Kyle measured the height to be about 40 feet. What is the potential
volume of the tank? (Round to the nearest tenth)
Answer?
Answers
Answer:
277 591.1 ft³
Step-by-step explanation:
First, use the formula for circumference to solve for the diameter.
Circumference = πd
295.3 = πd
295.3/π = d
94 ft = d
Then, divide the diameter by 2 to find the radius.
r = d/2
r = 94/2
r = 47 ft
Now, use the value of the radius with the given height in the formula for volume of a cylinder.
V = πr²h
V = π(47²)(40)
V = 277 591.1 ft³
A piñata is a container filled with candy and is broke by hitting it with a stick. The probability that Amanda will break a piñata on her first his is 0.58. She will continue to hit the piñata until it breaks. If she does not break the piñata on a particular hit, the piñata is weakened and the probability that she will break it on the next hit is 0.14 greater than the probability on the previous hit. For example, if the piñata does not break on the first hit, the probability that it will break on the second hit is 0.72 (found by 0.58 + 0.14 = 0.72). Calculate the probability that Amanda does not break the piñata on the first hit and does break the piñata on the second hit
Answers
Answer:
0.3024
Step-by-step explanation:
Given the following :
Probability of breaking pinata on first hit = 0.58;
P(first hit break) = 0.58
P(does not break on first hit) = 1 - p(first hit break) = 1 - 0.58 = 0.42
P(2nd hit break) = p(first hit break) + 0.14 = 0.58 + 0.14 = 0.72
Hence, Calculate the probability that Amanda does not break the piñata on the first hit and does break the piñata on the second hit
P(does not break on first hit) * p(2nd hit break)
0.42 * 0.72 = 0.3024
Solve: -1/2 x +3 = -x+7
Answers
Answer:
thats the answer
Step-by-step explanation: