Answers
9514 1404 393
Answer:
x = 20°y = 70°Step-by-step explanation:
The hash marks indicate that the lower triangle is isosceles. That means its base angles are equal. The external angle marked 40° will be the sum of those two equal angles, so ...
x + x = 40°
x = 20°.
x is one of the two acute angles in the right triangle. The other is y, which is the complement of x.
y = 90° -x = 90° -20°
y = 70°
_____
Additional comments
The angle marked 40° is one of a "linear pair". The other angle in that pair is the obtuse angle in the lower triangle. Its measure is 180°-40° = 140°. The two base angles of that isosceles triangle are both x°, so you have ...
x° +x°+140° = 180°
2x° = 180° -140° = 40°
That is, the sum of the two angles will be equal to the external angle marked 40°. The relevant theorem says "an exterior angle is equal to the sum of the remote interior angles." Remembering this is a useful shortcut, so you don't have to find the third interior angle, which is 140° in this case.
Related Questions
Lines AB, CD, and LK intersect as shown in the diagram . Find M
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the last one is the answer
The measurement of ∠ CSK = 110.2°
What is Parallel line?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Given that Lines AB, CD, and LK intersects at R and S respectively,
m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)
m∠LRB = m∠CSK → (Alternate exterior angles)
m∠CSK + m∠RSC = 180° → (Linear pair angles)
Therefore, m∠LRB + m∠RSC = 180°
(3x - 2)° + (2x - 5) = 180°
5x - 7 = 180°
5x = 187°
x = 37.4°
So, m∠CSK = (3x - 2)°
(3x - 2)° = 3*37.4 - 2
m∠CSK = 110.2°
Hence, The measurement of ∠ CSK = 110.2°
For more references on Parallel lines, click;
https://brainly.com/question/16701300
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What is 3.016 written in words?
A Three and sixteen tenths
B Three and sixteen hundredths
C Three and sixteen thousandths
D Three and sixteen ten-thousandths
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please help. i’ll give brainiest
Answers
Answer:
the square root of 42 is an irrational number. the square root of 42 is.....
Step-by-step explanation:
a. I - 2y = 4
find the x and y intercepts
Answers
Answer:I=4+2y
Step-by-step explanation:
1. Add 2y to both sides
I-2y+2y=4+2y
2.Simplify
I=4+2y
if Olivia works 4 hours more each week than her coworker lily, if Olivia works 32 hours in 2 weeks how many hours does lily works
Answers
If anybody can answer it would be greatly appreciated! (Question is worth 20 points)
Answers
Answer:
24 divided by 4 equals 6
Step-by-step explanation:
1) 8.7438
how do you put this in word form
Answers
Answer:
eight point seven thousand four hundred thirty eight
Answer:
its "eight and seven thousand four hundred thirty-eight ten thousandths".
Step-by-step explanation:
Which expression equals 2??
2.2.2.2.2.2.2
O 2+2+2
2 + 2 + 2 + 2
O 2+7
O 2.7
Answers
Answer:
That doesn't make sense to me but what does O means?
Step-by-step explanation:
Well maybe its 2.2.2.2.2.2.2
Answer:
if ur rounding then its 2.2.2.2.2.2.2
Step-by-step explanation:
Solve for a
Pls hurry
Answers
Answer:
a=(2p-3n)/12
Step-by-step explanation:
-12a=-2p+3n
Or, a= -{(-2p+3n)/12}
a=(2p-3n)/12
You take a taxi for a distance of 4 miles. You paid $6 for the trip Your friend uses the same taxi company to travel 10 miles , and pays 10.50. How much does the taxi company charge per mile, how much is the taxi company’s initial fare?please answer it’s almost due :(((
Answers
Answer:
$3 initial fare, 0.75 per mile
Step-by-step explanation:
let x be initial fare, y be per mile
x+4y=6
x+10y=10.50
subtract first from second,
6y = 4.5
y = 0.75
substitute into first equation, x+3 = 6, x=3
Answer:
1.12 dollers per mile
Frogfly2015 avatar
basic fee is 1.52 dollars
Frogfly2015 avatar
15 mile thing is 18.32 dollars
Step-by-step explanation:
trust
How to graph 2x + y = 4 ?
Explain steps please !!
Answers
y= -2x+4
this now matches the formula y= mx+c , -2 being m and 4 being c.
c is your y intercept so the graph will go through 4 on the y axis. Then m is the gradient of your graph and because it is negative you know it is going downwards. 2 means that every unit value you go across the x axis the y axis will go down 2.
To find where your graph crosses the x axis you need to make y=0 in your equation which looks like
0=-2x+4
2x=4
x=2
Now you know that your x intercept is 2 so you can draw a line going through 4 on the y axis and 2 on the x axis like my photo.
I don’t rlly need the answer I just would like the method please
3x-7=17-5x
Answers
Answer: x=3
Step-by-step explanation:
3x-7=17-5x
-7=17-8x (subtract both sides by 3x)
-24=-8x (subtract both sides by 17)
3=x (divide both sides by -24)
What is the value of the expression with base 2 and exponent 5
Answers
Answer:the answer is 32
Step-by-step explanation: 2 to the 5th power =2*2*2*2*2=32
7.74% of 789.13
Give your answer rounded to 2 DP.
Answers
Given :
A number 789.13 .
To Find :
7.74% of 789.13 .
Solution :
Let, 7.74% of 789.13 is x.
So,
[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]
Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .
Estimate the square root of 175 to the nearest integer
Answers
Answer:
Step-by-step explanation:
The nearest integer would be 13.
You would find the square root of 175, which is 13.22, and you would round that to the nearest integer, 13.
What do we call a number that when we squared the result is negative?
Answers
Answer:
imaginary numbera
Step-by-step explanation:
Result of every natural number is positive and for imaginary number sqaure result positive .
Solve for x
Please Help!
Answers
Answer:
x=56
(I do not know 100% but give it a try)
Step-by-step explanation:
You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x 180-60= 120 120-40-24= 56
Not sure thi
15x = -60 I don’t get how to do to
Answers
Answer:
x = -4
Step-by-step explanation:
15x = -60
move 15 over and divide 60 by it
x = -60/15
then solve
x = -4
Answer:
x=-4
Step-by-step explanation:
first let's solve 15x for 60 so solving for the valuable "x" we move all terms containing x to the left and all other terms to the right. Dividing each side by 15 so x is negative 4
What is the measure of
RST?
Answers
Answer:
D. 47
Step-by-step explanation:
find the values of x and y?
Answers
Answer:
x = 20
Step-by-step explanation:
I don't see a y in the diagram.
The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so
x + 90 + 4x - 10 = 180, that is
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
Gsjsjaka
Please help me solve this question and understand it. It is urgent
Answers
Dont understand very well please explain
Answers
Answer:
anyway, i thikn the only possible one is 3(k)-3(6)
Step-by-step explanation:
Which functions are increasing?
Select all answers that are correct.
Answers
Answer:
Step-by-step explanation:
in triangle ABC, bisectors of angle A and angle C cross each other in point M. find angle ABC if it is half of AMC. (no shape given)
Answers
Answer:
[tex]\angle ABC=60[/tex]
Step-by-step explanation:
[tex][Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC[/tex]
[tex]Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}[/tex]
[tex]Through\ the\ Angle\ Sum\ Property\ of\ a\ Triangle,\ we\ know\ that:\\'The\ Sum\ of\ all\ interior\ angles\ of\ a\ triangle\ is\ 180.'\\Hence,\\In\ \triangle BAC,\\\angle ABC + \angle BCA + \angle CAB=180\\In\ \triangle MAC,\\\angle MAC+ \angle ACM + \angle AMC=180[/tex]
[tex]Hence,\\As\ \angle AMC= 2 \angle ABC, \angle MCA=\frac{\angle BCA}{2}, \angle MAC=\frac{\angle BAC}{2},\\2 \angle ABC+\frac{\angle BCA}{2}+\frac{\angle BAC}{2}=180\\By\ resolving\ the\ denominators,\\\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}=180\\\\By\ comparing\ the\ Sum\ of\ angles\ in\ both\ the\ triangles,\\We\ find\ that\ the\ RHS\ of\ both\ the\ equations\ are\ equal\ i.e.180,\\The\ LHS\ of\ the\ equations\ are\ equal\ too.\\[/tex]
[tex]Hence,\\\angle ABC+ \angle BCA + \angle BAC=\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}\\Hence,\\2(\angle ABC+ \angle BCA + \angle BAC)=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle ABC+ 2 \angle BCA + 2 \angle BAC=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle BCA + 2 \angle BAC-\angle BCA- \angle BAC=4 \angle ABC- 2 \angle ABC\\Hence,\\\angle BCA+\angle BAC= 2\angle ABC[/tex]
[tex]Lets\ get\ back\ to\ the\ Angle\ Sum\ of\ \triangle ABC,\\\angle ABC + \angle BAC + \angle ACB=180\\Hence,\\As\ \angle BCA + \angle BAC= 2 \angle ABC,\\\angle ABC + 2 \angle ABC=180\\Hence,\\3 \angle ABC=180\\\angle ABC=\frac{180}{3}=60[/tex]
Hey guys
I need help my brain isn’t working today
Answers
2. x= -6
.
.
.
.
the other 2 i got lazy but need points sorry
Answer:
It's okay my brain doesn't work some days, too.
1. x = -7
2. x = -6
3. x = -1
4. y = 4
Step-by-step explanation:
1. Simply subtract equal and opposite values from positive values and do the same on both sides. Divide the final x value by its coefficient to get 1x = -7
2. Do the same as above AFTER distributing the 4(5 - x)
3. Once again, distribute all values then combine like terms like #1
4. This one uses a fraction to distribute, but it is just like dividing the number by 3 instead of multiplying (6/3 instead of 6 * 3)
Hope I helped!
answer if you want to
Answers
Answer:
a
Step-by-step explanation:
It says m=50 minus the three that fell out. That's m=50-3
Albert wrote a total of 5 pages of his essay in 2 hours. How many hours will Albert need to complete a 12 page paper?
Answers
Answer:
Step-by-step explanation:
…
Explanation: 5 / 2 is 2.5 so thats the amount of pages per hour. 12 / 2.5 is 4.8
Evaluate -x + 8 for x = 5.
Answers
Answer:
3 is the answer
Step-by-step explanation:
-(5)+8
-5+8=3
you just change x for 5 and go from there
In this problem, you have to use substitution!
-x + 8, when x = 5
1) Substitute the value of 'x' with '5'
-x + 8
= -5 + 8
2) Reverse the expression to make it easier to solve [optional]
-5 + 8
= 8 - 5
3) Solve!
8 - 5
= 3
Your answer is 3
I hope this helps!
- sincerelynini
I need help with A and B
Answers
Answer:
I think its a cylinder and a pyramid
math problem plz help me
Answers
Answer:
n+5>11
Step-by-step explanation:
5 added to number n: n+5
(5 added to number n)is greater than 11
is greater than: >
n+5>11