Answers
Problem 1
Answer: x = 60-----------------
Work Shown:
For any triangle, the three angles always add to 180.
60+60+x = 180
x+120 = 180
x = 180-120
x = 60
This triangle is considered equiangular because all angles are equal. It is also equilateral meaning all sides are the same length.
====================================================
Problem 2
Answer: x = 134-----------------
Work Shown:
We'll use the remote interior angle theorem. This is where we add two interior angles, and that sum is equal to an exterior angle that is not adjacent to any of the interior angles mentioned.
So basically we can say
x = 64+70
x = 134
If you want a longer method, then let y be the missing interior angle of the triangle. Note how 64+70+y = 180 which solves to y = 46. Then note how y+z = 180 since the angles y,z are a linear pair. That means y+z = 180 turns into 46+z = 180 which solves to z = 134.
====================================================
Problem 3
Answer: x = 36-----------------
Work Shown:
Use the remote interior angle theorem
(interior angle1)+(interior angle2) = remote exterior angle
(24) + (2x+18) = 3x+6
2x+42 = 3x+6
42-6 = 3x-2x
36 = x
x = 36
Related Questions
if 1/4 inch on a map represents 50 miles then what is the number of miles represented by 2 7/8 inches
Answers
Answer:
575
Step-by-step explanation:
First, divide 2 7/8 by 1/4. This gives you 11.5. Then, multiply 50 by 11.5, giving you 575.
The number of miles represented by [tex]2\frac{7}{8}[/tex] inches is 575 miles.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 1/4 inch on a map represents 50 miles.
So, 1 inch is represented by
= 50÷1/4
= 50×4
= 200 miles
The number of miles represented by [tex]2\frac{7}{8}[/tex] =23/8 inches
23/8 ×200
= 23×25
= 575 miles
Therefore, the number of miles represented by [tex]2\frac{7}{8}[/tex] inches is 575 miles.
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Round 324.9845 to the nearest hundreths E
Answers
Answer:
324.98 I think is correct
Answer:
324.99
Step-by-step explanation:
if z is the circumcenter of triangle qrs find each measure
Answers
Answer:
Step-by-step explanation:
Circumcenter of A triangle is the center of a circle passing through the vertices of the given triangle.
So, the distance of Z from the vertices Q, R and S will be the radii of the circle.
Therefore, ZQ = ZR = ZS
Since, circumcenter of a triangle is defined by the point of intersection of the perpendicular bisectors of the sides of the given triangle.
Therefore, points W, X and Y are the midpoints of sides QR, RS and QS.
Using these facts,
a). QR = 2(WQ)
= 2(25)
= 50
b). Apply Pythagoras theorem in ΔRXZ,
(RZ)² = (RX)² + (ZX)²
(RZ)² = (40)² + (9)²
RZ = √1681 = 41
c). XS = [tex]\frac{1}{2}(RS)[/tex]
= [tex]\frac{1}{2}(80)[/tex]
= 40
d). Since, ZQ = ZR = ZS
ZS = 41
e). By applying Pythagoras theorem in ΔRWZ,
(RZ)² = (WZ)² + (WR)²
(41)² = (WZ)² + (25)²
(WZ)² = (41)² - (25)²
WZ = √1056
WZ = [tex]4\sqrt{66}[/tex]
≈ 32.5
Applying the circumcenter theorem and the Pythagorean Theorem, the following measures are calculated as:
a. QR = 50
b. RZ = 41
c. XS = 40
d. ZS = 41
e. WZ = 32.5
Based on the circumcenter theorem of a triangle, the following holds true given that Z is the circumcenter of triangle QRS:
RZ, QZ, and ZS are equal (circumcenter Z is equidistant from the three vertices of ΔQRS).The perpendicular bisectors divides the three sides, RS, QS, and QR into equal parts each.Points X, Y, and W are at right angles.Given:
RS = 80WQ = 25XZ = 9a. Find QR:
QR = 2 × WQ = 2 × 25
QR = 50
b. Find RZ in right ΔXRZ:
XZ = 9 (given)
XR = 1/2(RS) = 1/2(80) = 40
Apply Pythagorean Theorem to find RZRZ = √(XZ² + XR²)
SubstituteRZ = √(9² + 40²)
RZ = 41
c. Find XS:
XS = 1/2(RS) = 1/2(80)
XS = 40
d. Find RZ:
RZ = ZS = QZ = 41 (equidistant)
ZS = 41
e. Find WZ in right ΔWRZ:
WR = WQ = 25
WR = 25
RZ = 41
Apply Pythagorean Theorem to find WZWZ = √(RZ² - WR²)
SubstituteWZ = √(41² - 25²)
WZ = 32.5
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what are exponents?
they are very hard for me
Answers
Femi’s last 5 bowling scores were 68 75 90 and 80 what was femis mean score
Answers
To find the mean, add all the numbers up and then divide by how many numbers you just added.
So, let’s add 68, 75, 90, 80
That equals 313. Now let’s divide by four, since we added four numbers together.
313 divided by four equals 78.25
So out of those four scores you gave me, her average was score 78.25
Hope this helped :)
A movie theater currently seats 400 people.
After a renovation, the movie theater will have larger
seats, so it will only be able to seat 320 people.
What is the percent decrease in the number of seats? ,, i need help asap.
Answers
Answer: 20%
Step-by-step explanation: As a fraction, the decrease would be 80/400 as we should know. To find the percentage, you put 80/400 in simplest form which 1/5. And since a fraction is a division problem and you want to find the answer as a percentage, you divide 1 by 5 and get 0.20. To convert a decimal into a percentage, multiply the decimal by 100. This means move the decimal space twice to the right and put a % to get 20%.
hope this helped. have a great day!!
If ∠BAC ≅ ∠DCA, is ABE ≅ CDE? Explain.
A. Yes; the triangles are congruent by AAS.
B. Yes; the triangles are congruent by ASA.
C. Yes; the triangles are congruent by SAS.
D. No; the triangles are not congruent.
Answers
Answer:
The answer is A.
Step-by-step explanation:
It is A because both sides match up except for the last pair, where they are the same. Hope this helped!
A relation is
1)the output(y) vaules of the relation
2) the input (x) vaules of the relation
3)a set of points that pair input vaules with output vaules
4)x and y vaules written in the form (x,y)
WILL MARK BRAINLEST
Answers
Answer:
its 2
Step-by-step explanation:
can i get brainliest
What is the answer for 4/15÷5/5
Answers
Answer:
4/15
Step-by-step explanation:
this is because you are basically dividing the first fraction by 1
The vertex of a parabola is (6,2), and the equation of its directrix is x = 8. What is the equation of this parabola in standard form?
a. (y−2)2=8(x−6)
b. (y−2)2=−8(x−6)
c. (x−6)2=−8(y−2)
d. (x−6)2=8(y−2)
Answers
Answer:
The equation of this parabola in standard form is (y - 2)² = -8(x - 6) ⇒ B
Step-by-step explanation:
Let us revise the standard form of the equation of a parabola
The standard form of the equation is (y - k)² = 4p(x - h), where
(h, k) is the turning point (h + p, k) are the coordinates of the focus x = h - p is the equation of the directrix
∵ The vertex of a parabola is (6, 2)
→ From the fact above
∴ h = 6 and k = 2
∵ The equation of its directrix is x = 8
→ From the fact above
∴ h - p = 8
→ Substitute the value of h to find p
∵ 6 - p = 8
→ Subtract 6 from both sides
∴ - p = 2
→ Multiply both sides by -1
∴ p = -2
→ Substitute the values of h, k, and p in the form above
∴ (y - 2)² = 4(-2)(x - 6)
∴ (y - 2)² = -8(x - 6)
∴ The equation of this parabola in standard form is (y - 2)² = -8(x - 6)
PLS PLS PLS HELP!
How would you solve 3^6 divided by 3^-2?
Answers
Answer:
3^8
Step-by-step explanation:
3^6/3^-2 is 3^(6-(-2)) which is 3^8
Hope this helps ;D
find what percent of 570 is 190
Answers
Formula Used:
Percentage = (Smaller Value / Actual Value)*100
Finding the percentage:
Percentage = (190/570) * 100
Percentage = (0.333) * 100
Percentage = 33.3%
The probability that the first production line stops is 0.5 while the probability that the second production line stops is 0.22 . If the production lines work independently of each other what is the probability that both lines are working at any given time ?
Answers
Answer:
0.11
Step-by-step explanation:
The events are independent, so:
P(A and B) = P(A) × P(B)
P = 0.5 × 0.22
P = 0.11
A textbook costs $65.49 before tax. The tax on the textbook is 6.5% what is the total costs of the textbook
Answers
Answer:
65.49*0.065 = 4.26
Step-by-step explanation:
65.49*0.065 = 4.26
65.49+4.26 = $69.75
Answer:
$69.75
Step-by-step explanation:
65.49x6.5%= 4.26
65.49+4.26= 69.75
Don't forget your label!
Hope this helps!
-AxekickNebulite
(-2,1); m = -3
My answer was Y = -6x + 1 and here's my equation.
Formula = Y - Y1 = m ( X - X1 )
1. Y - 1; -3 ( X - - 2 )
2. Y - 1; -3 ( X + 2)
3. Y - 1; -6X
4. Y - 1 = -6x Single out they Y so add 1 to both sides
5. Y = -6x + 1
And that's it I need help understanding it a bit and I need to know if I got my answer right if possible thank you!!
Answers
Answer:
I dont know if this is much help but I asked my mom to review it as she said it was correct. :)
Answer:
your answer's correct!!
Step-by-step explanation:
Simplify
7.1x106
8.2x101
0.8659 x 105
8.659 x 107
8.659 x 104
8.659 X 106
Answers
2. 828.2
3. 90.9
4. 926.5
5. 900.5
6.917.8
6.8x+9.3= -9.4+3.4(2-5x)
Answers
Answer: the answer to this is x=0.5
Step-by-step explanation:
In order to solve this you have to combine the multiplied terms into a single fraction so its going to look like this - 34x/5 + 9.3= -9.4+3.4(2-5x)
The reposition your terms and put together your multiplied terms into a fraction,Once you have that done distribute them
Subtract 9.3 on both sides.you may simplify and then multiply all the terms with the same value to get rid of the denominators from the fractions
also add 85x to both sides then finally divide both side by the same term which get you -59.5/119 and then simplify and you get -0.5
so x= -0.5
Answer:
x=-0.5
Step-by-step explanation:
step 1
6.8x+9.3=-9.4+3.4(2-5x)
6.8x+9.3=-9.4+(3.4)(2)+(3.4)(-5x) distribute
6.8x+9.3=-9.4+6.8+-17x
6.8x+9.3=(-17x)+(-9.4+6.8) combine like terms
6.8x+9.3=-17x+-2.6
6.8x+9.3=-17x-2.6
step 2
add 17x to both sides.
6.8x+9.3+17x=-17x2.6+17x
23.8x+9.3=-2.6
step 3
subtract 9.3 from both sides.
23.8x+9.3-9.3=-2.6-9.3
23.8x=-119
step 4
divide both sides by 23.8
23.8x/23.8= -11.9/23.8
The answer is =-0.5
Two fifth graders solved 2000 divided by 40. Carter said the answer is 50, while Kim said the answer is 500. Who has the correct answer? Explain your thinking.
Answers
Answer:
Carter is correct. 2000/40=50.
Step-by-step explanation:
The correct answer for who has the correct answer is Carter.
Given question:
[tex]\dfrac{2000}{40}[/tex]
Carter answer:
[tex]\dfrac{2000}{40} = 50[/tex]
Kim answer:
[tex]\dfrac{2000}{40} = 500[/tex]
The correct division:
[tex]\dfrac{2000}{40} = 50[/tex]
Carter's reasoning is accurate because he correctly divided 2000 by 40 to find the answer. Kim's answer of 500 seems to be a mistake, possibly due to an error in the division process or a misunderstanding of the problem.
Carter has the correct answer.
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Convert 1.05 to a percent.
Answers
Answer:
105%
Step-by-step explanation:
you would just move the decimal 2 places to the right
An airplane is traveling with an airspeed of 500 mph in the direction N 60° E. A wind blows directly south at 50 mph. What is the plane’s drift angle?
3.84°
5.21°
60.00°
65.21°
Answers
Answer:
5.21
Step-by-step explanation:
Got it right on edg
Answer:
B) 5.21°
Step-by-step explanation:
got it right on edge :)
What is the 100th term in the sequence an= 4n-12
Answers
The hundredth term of the given sequence is 388.
What is a sequence?In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, we need to find the 100th term in the sequence an= 4n-12,
Put n = 100,
a₁₀₀ = 4 x 100 - 12
= 400 -12
= 388
Hence the hundredth term of the given sequence is 388.
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ASAP!!! LOOK AT THE IMAGE FOR THE GRAPH AND ANSWER CHOICES!! PLEASE HELP URGENT!!
Answers
Answer:
The answer is D.
4x + y = 2
x - y = 3
____________
When given a graph with an intersection of two lines, first locate the y-intercept (the point where x = 0) of each line, and then find it's slope by evaluating its change in y over the change in x.
It is also possible to eliminate the incorrect systems using substitution when given a point of intersection.
For example, as the point of intersection is apparent on this graph, you can substitute these coordinates from the graph into each of the systems of equations given in the choice answers to verify it.
For it to be a solution, it must satisfy (make true) both equations of the system.
(a, b) : (x, y)
Given that (1,-2) is our point of intersection according to the graph.
Choice A is incorrect because (1, -2) → x + 4y = 3 → (1) + 4(-2) = 3 → 1 + (-8) = 3 →
1 - 8 = 3 → -7 ≠ 3.
And (1, -2) → x + y = 2 → (1) + (-2) = 2 →
-1 ≠ 2.
It is already incorrect as one of the
equations in this system do not satisfy the coordinate.
Choice B is also incorrect because
(1, -2) → x + 4y = 2 → (1) + 4(-2) = 2 →
(1) + (-8) = 2 → 1 - 8 = 2 → -7 ≠ 2.
And (1, -2) → x + y = 3 → (1) + (-2) = 3 →
1 - 2 = 3 → -1 ≠ 3.
Lastly, Choice C is incorrect because
(1, -2) → 4x + y = 3 → 4(1) + (-2) = 3 →
4 + (-2) = 4 - 2 = 3 → 2 ≠ 3.
And (1, -2) → x - y = 2 → (1) - (-2) = 2 →
1 + 2 = 2 → 3 ≠ 2.
Therefore D is correct because it is the last answer remaining.
Also here is proof:
(1, -2) → 4x + y = 2 → 4(1) + (-2) = 2 →
4 + (-2) = 2 → 4 - 2 = 2 → 2 = 2
So one equation fits the coordinate, but this cannot yet be verified as the working system unless both equations fit the point.
So (1, -2) → x - y = 3 → (1) - (-2) = 3 →
1 + 2 = 3 → 3 = 3
Now we can say that this is the working system.
_____________________________
The next method involves strong observation of the graph to find both equations in slope-intercept form and then back into standard form to find a match of the choice answers as both systems are in standard form (Ax + By = C)
With the first line, it has a y-intercept of 2 because this is where it crosses the y-axis when x = 0. It also has a slope of -4 because it goes down 4 units every 1 unit to the right. This means that the first line has an equation of y = - 4x + 2.
Slope intercept form is the form y = mx + b where m is the slope( rise over run/change in y over change in x) , and b is the y-intercept (where x = 0).
The next line has a y-intercept of -3 because this is where it crosses the axis, and where x = 0. This also has a slope of 1 because it rises by 1 every run or goes up 1 unit every 1 unit to the right. therefore the second line has an equation of y = x - 3.
One right angle triangle measures 50° what is the measure of the other acute angle
Answers
Answer: 40°
Step-by-step explanation:
You add 90° for the right angle and 50° for the other and subtract from 180°
Which of the following explains the relationship between angles A and D?
Answers
23.21 to the nearest hundredth
Answers
Answer:
23.21
Step-by-step explanation:
The answer you have given is correct.
I need help on this
Answers
Answer:
,b j,mbnlvj lcv
Step-by-step explanation:
nb ckhbv m
i just want want points sorry! :)
Which expressions are equivalent to cos^2(105degrees) – sin^2(105°)? Check all that apply.
Edge 2020
Answers
Answer: it’s A B and E on edge <3 just did it
Step-by-step explanation:
Answer:
A
B
E
Step-by-step explanation:
4x=68 plz solve it
Answers
Answer:
x=17
Step-by-step explanation:
4x=68
Divide each side by 4
x= 17
Andy's appliance repair charges a certain amount for house calls based on the amount of time that it takes for the repair
Answers
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
NAFTA was important to North America countries because it ________. A. Broke down trade barriers
B. established a military alliance
C. Promoted alternative energy sources
D Provided free healthcare for all people
Please give me the right answer for 33 points.
Answers
Answer:
A. broke down trade barriers