If m∠2=40°, what is the measure of ∠1 + ∠6?
Answers
Answer:
180°
Step-by-step explanation:
The diagram for this question has been attached to this response.
From the diagram;
(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e
m∠2 = m∠6 ---------(a)
But m∠2 = 40°
Substitute this into equation (a) as follows;
40° = m∠6
∴ m∠6 = 40°
(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e
m∠1 + m∠2 = 180° ------------------(b)
But m∠2 = 40°
Substitute this into equation (b) as follows;
m∠1 + 40° = 180°
m∠1 = 180° - 40°
m∠1 = 140°
(iii) The measure of ∠1 + ∠6 is given by;
m∠1 + m∠6
Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get
m∠1 + m∠6 = 140° + 40°
m∠1 + m∠6 = 180°
Therefore the measure of ∠1 + ∠6 is 180°
Related Questions
On a coordinate plane, 2 triangles are shown. The first triangle has points A (1, 4), B (3, 4), C (3, 2). The second triangle has points A prime (negative 4, 1), B prime (negative 4, 3), C prime (negative 2, 3). Triangle ABC was rotated about the origin. Which rule describes the rotation?
Answers
Answer:
R0, 90°
Step-by-step explanation:
Answer: For the first one you would describe the rotation as "-x,-y" because you would be rotating it 180 degrees. The second one would be rotating it "180" degrees.
The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches and 11 miles per hour are cleared when the depth of the snow is 7 inches, then how many miles of road will be cleared each hour when the depth of the snow is 13 inches
Answers
Answer:
5.6 miles
Step-by-step explanation:
From the question, we can infer that this is an inversely proportionality question.
Let us represent Miles per hour = N
Depth of snow = s
Where k is proportionality constant.
dN/ds = k/s
dN = ds .k/s
Integrating this
∫dN = ∫k/s ds
N = k In s + C
Step 1
We find k
From the question, we are told that:
Given that 20 miles per hour are cleared when the depth of the snow is 2.5 inches
11 miles per hour are cleared when the depth of the snow is 7 inches,
20 = k ln 2.5 + C ..... Equation 1
11 = k ln 7 + C...... Equation 2
11 = k ln 7 + 20 - k ln 2.5
Collect like terms
k ln 2.5 - k ln 7 = 20 - 11
k( In 2.5 - In 7) = 9
k = 9/( In 2.5 - In 7)
k = 9/ -1.0296194172
k = -8.7410938932
Step 2
We find C
20 = k ln 2.5 + C ..... Equation 1
C = 20 - k ln 2.5
C = 20 -(-8.7410938932 In 2.5)
C = 20 + 8.7410938932 In 2.5
C = 20 + 8.0093833208
C = 28.0093833208
Step 3
how many miles of road will be cleared each hour when the depth of the snow is 13 inches
N = k In s + C
= -8.7410938932 ln 13 + 28.0093833208
= -22.420463165 + 28.0093833208
= 5.5889201559
Approximately= 5.6 miles
Therefore, 5.6 miles of road will be cleared each hour when the depth of the snow is 13 inches.
Circle the vertex of the angle.
Answers
Answer: B
Step-by-step explanation:
please help math 30 points
Answers
Answer:
5 calories
Step-by-step explanation:
Set up a proportion: [tex]\frac{45}{225} = \frac{1}{x}[/tex] Cross multiply, then divide: 225 × 1 = 1, 225 ÷ 45 = 5x = 5So, Raquel will burn 5 calories in 1 minute.
I hope this helps!
Given b(x) = |x+4| what us b(-10)?
Answers
Answer:
6
Step-by-step explanation:
b(x) = |x + 4|
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = 6
Best of Luck!
the sum of a number and 2 is 12. determine tbe number
Answers
Answer:
10
Step-by-step explanation:
2 + x = 12
Subtract 2 from both sides.
x = 10
~theLocoCoco
5/7=20/r
R=28
Can anyone explain how you get 28
Answers
Answer:
Step-by-step explanation:
we are given that these two fractions are equal. however, 20/r is just given in numerators and denominators that are four times as large, even though it is still equal to 5/7. we can tell this because 20 is 4 times larger than 5, which means that R must be 4 times larger than 7, right? YES. so we take 7*4 to get 28.
What is the factorization of 121b^4 − 49?
Answers
Answer:
(11b^2 + 7) (11b^2 - 7)
Explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a^2 - b^2 = (a + b) (a - b) where a = 121b^4 and b = 49
Answer:
D
Step-by-step explanation:
4) Dan Ariely and colleagues have conducted some extremely interesting studies on cheating (see, for example Mazar, Amir, & Ariely, 2008). To provide an opportunity for cheating, participants are given a packet of problems and told they will be paid $0.50 for each correct answer. The experiment is setup, however, so that the participant doesn’t have to turn in their work, they simply have to state how many problems they solved to get paid. This provides a prime opportunity to cheat to earn extra money. In previous tests where the problems are properly scored, so no cheating, Ariely and colleagues found that scores are normally distributed: = 3.3, = 1.0. Here is a list of scores for participants who knew that their work would not be checked. Which of these would you suspect of cheating? Why?
Answers
I've attached the complete question.
Answer:
Only participant 1 is not cheating while the rest are cheating.
Because only participant 1 has a z-score that falls within the 95% confidence interval.
Step-by-step explanation:
We are given;
Mean; μ = 3.3
Standard deviation; s = 1
Participant 1: X = 4
Participant 2: X = 6
Participant 3: X = 7
Participant 4: X = 0
Z - score for participant 1:
z = (x - μ)/s
z = (4 - 3.3)/1
z = 0.7
Z-score for participant 2;
z = (6 - 3.3)/1
z = 2.7
Z-score for participant 3;
z = (7 - 3.3)/1
z = 3.7
Z-score for participant 4;
z = (0 - 3.3)/1
z = -3.3
Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96
Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.
Thus, only participant 1 is not cheating while the rest are cheating.
A cube-shaped box has a volume
of 125 cubic centimeters. If the box
is packed full of cubes with edge
lengths of 1 centimeter, how many
cubes can fit along one side of the
box?
Answers
Answer:
B.5
Step-by-step explanation:
Determine the number of acute, obtuse, and right angles in the shape above.
Answers
Answer:
Step-by-step explanation:
You should never be given a question that has a diagram that looks like it could be so.
That being said there is
1 obtuse angle (lower left)
1 right angle (top right)
2 acute angles (the two angles that are left).
Answer: BRAINLIEST???
1 right
2 acute
1 obtuse
Step-by-step explanation:
What is the ratio of the number of steps to the number of minutes?
Answers
Answer:
15-20 minutes - 1 mile or 100:1
Step-by-step explanation:
so think about steps per minute if you would walk a whole mile not you but the average sized adult it would be 15-20 minutes based on your size and strength or if you have any possible breathing issues to get steps just google how many steps are in a mile. remember steps to minute not minute to steps.
Can someone help
Me Plis
Answers
Maria solved an equation as shown below. 3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.
Answers
Answer:
19
Step-by-step explanation:
The value of the x will be 19. Then Maria solved an equation correctly.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
3(x + 6) = 5(x – 4)
Maria solved an equation as shown below.
3 (x + 6) = 5 (x – 4)
3x + 18 = 5x – 20
38 = 2x
19 = x
x = 19
Then Maria solved an equation correctly.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre?
Answers
Let , side lawn is a.
Area of boundary is :
[tex]A=4\times5\times a\\\\A=20a\ m^2[/tex]
Now, total cost is given by :
[tex]T=20a\times 36.25\\\\90625=725a\\\\a=125\ m[/tex]
Area left is :
[tex]A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2[/tex]
Price to empty space with turfs is :
[tex]P=A'\times 20\\\\P=13125\times 20\\\\P=262500[/tex]
Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.
Hence, this is the required solution.
calculate the capacity in liters of a tin 20m by 15m by 10m.
Answers
= 0.003
An awards dinner costs $225 plus $5 for each person making reservations. The total bill is $735. How many people attended the dinner?
Answers
Answer:
102 people
Step-by-step explanation:
Hope this helps :-)
The ratio of french fries to packets of ketchup in Philip's bag is 6:1. What does this mean?
Answers
Answer:
This means for every packet of ketchup, Phillip has 6 french fries.
Step-by-step explanation:
Question 9 of 10
Dilating a triangle changes the angles and side length of the triangle.
O A. True
O B. False
SUBM
Answers
The given statement is false.
What is dilation?Dilation is a transformation that changes the size of a figure or an object without changing its shape.
The figure or object and its image after dilation are similar.
The size of the figure or object may increase or decrease based on a number called the scale factor.
Dilation is defined by a point called the center of dilation and the scale factor.
Dilation :-
A dilation does not change the shape of a figure, but it can change the size. Because the size of the figure changes, dilations are not isometries. Because the shape is invariant under a dilation, the original figure and its image are similar. If the proportion is greater than one, the figure will grow.
In reference to a triangle,
They scale distances between points, dilations do not change angles. All lengths of line segments in the plane are scaled by the same factor when we apply a dilation.
Hence, the given statement is false.
Learn more about dilation, click;
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help me please im kind of in a rush
Answers
Answer:
B-7^2x2÷b6
Step-by-step explanation:
dividing signed decimals rules have not changed! Move decimal point to the divisor to the _____ to make it a _____ number, and move the decimal point in the dividend the same amount, then place on top. Divide as normal, use ________ rules to determine sign of quotient.
Answers
Which of the following is an even function?
f(x) = (х – 1)2
f(x) = 8x
f(x) = х2 - x
f(x)=7
Answers
Answer:
f(x) = 7
Step-by-step explanation:
even functions have all even powers of x
7 = 7x^0
Director: Answer all question by shading all necessary steps
1. Find the exact value of (tan 105°)
Answers
I hope this helps you
Isaiah is starting his own gardening business. Isaiah thinks he will do a better job than his competitors, so he thinks he can charge $15.50 per hour. If he knows he will only be able to work 35 hours per week, how much money will he earn each week?
Answers
Answer:
$542.50
Step-by-step explanation:
Isaiah's weekly earnings will be ...
($15.50 /h)(35 h/wk) = $542.50 /wk
A pancake recipe calls for one egg for every four cups of flour. How many cups of flour do you need for six eggs?
Answers
Answer:
24 cups
Step-by-step explanation:
1. 1 egg= 4 cups of flour
Let x = # of eggs, and f = cups of flour
so f=4x
2. f= 4(6)
f =24
So the answer is 24 cups of flour
Answer: mutiply 4 by 6 which is 24
After walking for 15 minutes, Zachary’s treadmill displayed “120 calories burned”. At this rate, how many calories will Zachary burn in 65 minutes?
Answers
120/15=8
8x25=525
is .333333... rational
Answers
Answer:
No.
Step-by-step explanation:
If a decimal repeats forever, it will be irrational.
Hey there!☺
[tex]Answer:\boxed{\text{Rational}}[/tex]
[tex]Explanation:[/tex]
.333333 is rational because any integer, fraction, and a repeating and terminating decimals are rational. So, therefore, .333333 is rational.
Hope this helps!
Find the distance between the points (4,-9) and (-6,-10)
Answers
Answer:
The answer is
[tex]\sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,-9) and (-6,-10)
The distance between them is
[tex]d = \sqrt{ ({4 + 6})^{2} + ( { - 9 + 10})^{2} } \\ = \sqrt{ {10}^{2} + {1}^{2} } \\ = \sqrt{100 + 1} \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \\ = 10.04987...[/tex]
We have the final answer as
[tex] \sqrt{101} \: \: \: or \: \: \: 10.05 \: \: \: \: units[/tex]
Hope this helps you
A rectangles area and perimeter have the same numerical value. The length of the rectangle is 22 feet. What is the width of the rectangle in feet?
Answers
Answer:
its 2,2
Step-by-step explanation:
2.4 is wrong
The width of the rectangle in feet will be 2.2 feet.
What is the rectangle?Let W be the rectangle's width and L its length. Then the area of the rectangle will be
Area of the rectangle = L × W square units
And the perimeter of the rectangle will be
Perimeter = 2(L + W)
A rectangle's area and perimeter have the same numerical value. The length of the rectangle is 22 feet. Then we have
L × W = 2(L + W)
22W = 2(22 + W)
11W = W + 22
10W = 22
W = 2.2 feet
The width of the rectangle in feet will be 2.2 feet.
More about the rectangle link is given below.
https://brainly.com/question/10046743
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What is the cost of m apples, if each apple costs $0.20?
Answers
Answer:
The cost of M apples is M($0.20).
Explanation:
We don't know how many apples exactly, we only know that it is the quantity of M. Since each apple is $0.20, we can multiply that by M to get the amount of "$0.20's" for M apples.
