For D:
A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.
For E:
We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.
For G:
Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.
For H:
The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.
Answer:
d) x = 60
e) m = 60
g) q = 75
h) m = 75
Step-by-step explanation:
d) This image is that of an equilateral triangle, or a triangle whose sides are all equal (also known as a regular triangle). One property of an equilateral triangle is that all of its angles are also equal. Because the angles of a triangle add up to 180° (Triangle Sum Theorem), each angle would be 180/3°, or 60°, so x = 60.
e) This problem shows two complementary angles. Complementary angles are two angles that add up to 90°. Because one of the angles is given, you can find the other by subtracting the given one from 90°:
m = 90 - 30
m = 60
g) This is an image of a triangle with two given angles and the missing one is the third angle, q. You can solve for q using the Triangle Sum Theorem, which states that the three interior angles of a triangle add to 180°:
50 + 55 + q = 180
105 + q = 180
q = 75
h) This image shows two parallel lines cut by a transversal. You can find m using the Corresponding Angles Theorem, which states that if parallel lines are cut by a transversal, the corresponding angles will be congruent. Because the lines are parallel, you know that m = 75 since the 75° angle is its corresponding angle.
2. Given that set M = {Even numbers between 20 and 35), find n(m)
Step-by-step explanation:
Set M = {20,22,24,26,28,30,32,34}
n(M) = no. of elements in set M
i.e.
n(M) = 8
Answer:
7
Step-by-step explanation:
Even numbers between 20 and 35 are 22, 24, 26, 28, 30, 32, 34.
M = { 22, 24, 26, 28, 30, 32, 34}
There are 7 elements in the set M.
Thus, n(M) = 7
Find the value of x and the measure of the angle labeled 3x
3x
27
A. x= 15; angle measure is 27°,
OB. X = 9; angle measure is 27".
C. x= 9; angle measure is 45°
O.D. x= 15; angle measure is 45°
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
What is the equation of a line with a slope of 2 and a y intercept of -5?
Answer:
y=2x-5
Step-by-step explanation:
The slope is how you move so you could also call it m
The y intercept is where you begin so you could call it b
So every time you need to find the equation or which one is like the slope just remember m=move b= begin
y=mx+b
Simplify the expression. Write your answer as a power.
[tex](5^{4} )^{3}[/tex]
Answer:
[tex]5^{12}[/tex]
Step-by-step explanation:
Lets say there's a number 'x' and there's an expression [tex](x^a)^b[/tex] where 'a' & 'b' are also numbers , the simplified form of the expression is [tex]x^{a \times b}[/tex].
So ,
[tex](5^4)^3 = 5^{4 \times 3} = 5^{12}[/tex]
Are the figures congruent? Explain.
Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.
Answer:
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
Step-by-step explanation:
Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.
To find - He asked his students to create an equation or inequality with
this value as a solution.
Proof -
Given that, The value statement is ''x = 2''
We have to find out that equation in such a way that if we solve the equation , we get the value x = 2
There can be infinite many equation that give the value statement '' x = 2''
Some of the equations can be written as-
1. 2x = 4
2. 3x + 9 = 15
3. x + 5 = 7
4. 5x - 2 = 8
And many more.
Verification -
1. 2x = 4
⇒x = [tex]\frac{4}{2}[/tex]
⇒x = 2
Verified
2. 3x + 9 = 15
⇒3x = 15 - 9
⇒3x = 6
⇒x = [tex]\frac{6}{3}[/tex]
⇒x = 2
Verified
3. x + 5 = 7
⇒x = 7 - 5
⇒x = 2
Verified
4. 5x - 2 = 8
⇒5x = 8 + 2
⇒5x = 10
⇒x = [tex]\frac{10}{5}[/tex]
⇒x = 2
Verified
Part III: For each polynomial, determine the degree and write the polynomial in descending
order. (4 points: 2 points each)
A. -4x2 – 12 + 11x4 B. 2x5 + 14 - 3x4 + 7x + 3x3
Answer:
1,4
2,5
11x4-4x2-12
2x5-3x4+3x3+7x+14
short song i made what yall think of it?
Help me y'all i really need help
Answer:
that is 2/10 (for the fraction) and 0.2 (for the decimal) if the fraction is to be simplified, it would be 1/5. hope this helps! :D
Step-by-step explanation:
I need help please is for tomorrow):
Answer:
Step-by-step explanation:
If a number gets increased by scale factor = k
Then k > 1
If the number gets decreased by a scale factor 'k'
Then 0 < k < 1
Let numbers gets increased by the scale factor = 2,
And decreased by the scale factor = [tex]\frac{1}{2}[/tex]
Numbers Scale up by 2 Scale down by [tex]\frac{1}{2}[/tex]
0.05 0.05 × 2 = 0.1 0.05 × [tex]\frac{1}{2}[/tex] = 0.025
[tex]\frac{1}{2}[/tex] [tex]\frac{1}{2}\times 2 = 1[/tex] [tex]\frac{1}{2}\times \frac{1}{2}=\frac{1}{4}[/tex]
7 7 × 2 = 14 7 × [tex]\frac{1}{2}[/tex] = 3.5
13 13 × 2 = 26 [tex]13\times \frac{1}{2}=6.5[/tex]
25 25 × 2 = 50 [tex]25\times \frac{1}{2}=12.5[/tex]
102 102 × 2 = 204 [tex]102\times \frac{1}{2}=51[/tex]
LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
PLS HURRY AND HELP
Darren had 3 apples represented by the variable (a) . He went to the store and bought 6 more apples to make a pie . Then his little brother Keith came into the kitchen and ate 2 of the apples. Write an expression to show how many Derran is left with.
Answer:
a + (6 -2)I'm not completely sure, but I hope this helps.
What is the equation of this line?
Write the equation in slope-intercept form.
Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
The area of a rectangle is 192 in ^2. The ratio of the length to the width is 4:3. Find the length and the width.
The length of the rectangle is ___ in.
The width of the rectangle is___.
Answer:
Length = 16 in
Width = 12 in
Step-by-step explanation:
Given:
Area of a rectangle = 192 in²
Ratio(length to width) = 4:3
Find:
Length and the width
Computation:
Ratio(length to width) = 4:3
So,
Length = 4a
Width = 3a
Area of a rectangle = Length x Width
192 = 4a x 3a
192 = 12a²
a² = 16
a = 4
Length = 4a = 4 x 4 = 16 in
Width = 3a = 3 x 4 = 12 in
if 45% of an item is $135.00, what is the original price
can anybody finish this?
Answer:
No Thanks, and like you said when I asked my question "the answers above i need points"
(Also please stop doing this to people, it's rude and i'm doing this to you so you see this.)
A new car is for lease for $429 per month with a down payment of $1,058. What is the cost for 42 months for this vehicle?
$19,076
$44,865
$44,436
$18,018
$62,454
If CD is not parallel to EF, what is m2C?
Write the unit rate for the following.
a) kate sews 100 dresses In a 20 day month.
b) Kim runs 5km in 30 minutes.
Answer:
the answer is B
Answer:
For a) The unit rate is 5 dresses per day
For B) The unit rate is 1KM per 6 min
Step-by-step explanation:
100/20=5 dresses
30/5=6 minutes
Which equation represents an inverse variation?
Answer:
C. y=3/x
Step-by-step explanation:
hope this helps, sorry if I am wrong
Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Which of the following is the reciprocal of 1/5 ?
answers
5
1/5 5/5 1
Answer:
5
Step-by-step explanation:
A reciprocal is the inverse of a fraction.
To find it just flip the numerator and denominator.
1/5 becomes 5/1, or 5.
The calculated reciprocal of the number 1/5 is 5
How to determine the reciprocal of the numberFrom the question, we have the following parameters that can be used in our computation:
Number = 1/5
By definition, the reciprocal of a number x is represebted as
reciprocal = 1/x
In this case,
x = 1/5
Substitute the known values in the above equation, so, we have the following representation
reciprocal = 1/(1/5)
Evaluate
reciprocal = 5
Hence, the reciprocal is 5
Read more about expression at
https://brainly.com/question/30492964
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For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90
Answer:
38
Step-by-step explanation:
128 + angle G= 180
angle G = 180-128= 52
m+ 52 = 90 ( complementary angles)
m= 90-52= 38
what is the solution to the system of equations below? y=-3x-9 and y=1/3x-39
a. (9, -36)
b. (9,0)
c. (-9, 18)
d. (-9, -42)
Answer:
Step-by-step explanation:
What is the most common number of sit-ups completed in 1 minute? Explain how you used the dot plot to identify this number.
Write your answer in the space below.
Answer:
38.
Step-by-step explanation:
38 is the highest column in the plot.
Answer:
Heya
Step-by-step explanation:
the most common number of sit-ups completed in 1 minute is 38
hope it will be helpful :)
The graphs below have the same shape. What is the equation of the blue
graph?
f(x) = x²
5
g(x) = ?
g(x) =
A. g(x) = (x + 4)2 - 1
O B. g(x) = (x-4)2-1
ASAP plzzzz help
Answer:
The answer is g(x)=(x-2)^2+1
Step-by-step explanation:
The equation of the blue graph is y = (x - 4)² + 1.
Option D is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The graphs of y = x² and y = (x - 4)² + 1 are both parabolas.
The graph of y = x² is a simple upward-facing parabola that passes through the origin.
As x increases or decreases, the value of y increases but at an increasingly slower rate until it reaches a minimum at x = 0, where it turns back upwards and continues to increase at an increasingly faster rate.
The graph of y = (x - 4)² + 1 is also a parabola, but it is shifted 4 units to the right and 1 unit up compared to y = x².
Thus,
The equation of the blue graph is y = (x - 4)² + 1.
Learn more about equations here:
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write an equation for the following problem
Answer:
x+68=90 degrees
Step-by-step explanation:
Answer:
90-68 or 68+22
Step-by-step explanation:
this works becuz it is a 98 degree angle
Help Please! would really appreciate it.
=========================================
The diagram shows:
base = 13height = xRecall that the area of a parallelogram is equal to the base times height
area = base*height
We're told that the area is 117 square units, so that means 13x = 117.
Divide both sides by 13 to isolate x
13x = 117
13x/13 = 117/13
x = 9
The height of the parallelogram is 9
Note how:
area = base*height = 13*x = 13*9 = 117
which helps confirm we have the correct height value for x.
please help quickly im on a test
if f(x)=x+4, and g(x)=2x+4, what is f(2)+g(2)?
Answer:
14
Step-by-step explanation:
f(2)+g(2)
(2+4)+(2×2+4)
6+8
14
Sally flipped a penny 25 times and landed on heads 16 out of the 25 times. If she plans to flip the coin 100 times,
how many times can she expect to land on heads?
Answer:
50 times
Step-by-step explanation:
Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%