Answers
Answer:
1) 69 2) 69 3) 60 4) 60 5) 51
Step-by-step explanation:
Triangles have 180 degrees interior and 360 degrees exterior. Knowing this you add all the values within a triangle and subtract it from 180 to find the missing degrees.
For the purple, the green is supplementary which means the other angle will help it equal 180 degrees. the missing green angle is 38. 38+82=120 and 180-120=60. because of vertical angles, angle 2 is 69 and angle 4 is 60. this makes 129 so 180-129=51.
Hope this helps you in some way. if not, sorry i failed you.
Answers
angle 1 = 111 degreesangle 2 = 69 degreesangle 3 = 60 degreesangle 4 = 60 degreesangle 5 = 51 degreesBe sure to use the actual degree symbol instead of typing in "degrees" after each number.
========================================================
Explanation:
To find angle 1, we can use the remote interior angle theorem. The yellow angles you've highlighted (46 and 65) add up to the measure of angle 1, which is an exterior angle. So angle 1 is 46+65 = 111 degrees
The slightly longer method is to make x be the missing angle of the left-most triangle. Solve x+46+65 = 180 to get x = 69 degrees. Then note how angle x and angle 1 are supplementary, meaning x+(angle1) = 180 leads to angle 1 = 111 degrees (because 180-69 = 111)
------------------------
Angle 2 is 69 degrees since angle x = 69, which is a vertical angle to angle 2. Or you could note that angle 1 and angle 2 are supplementary
(angle1)+(angle2) = 180
(111)+(angle2) = 180
angle2 = 180-111
angle 2 = 69 degrees
This method is used to prove the vertical angles theorem is always true.
-------------------------
Angle 3 can be found using the remote interior angle theorem, but we'll be going in reverse this time. Let y be the measure of angle 3
y+82 = 142
y = 142-82
y = 60
angle 3 = 60 degrees
Like with angle 1, there's also a slightly longer method that follows the same idea as before. If you follow this method, you'll need to find the missing piece of the green angle you highlighted (which his 180-142 = 38 degrees), then use the idea that A+B+C = 180 where A,B,C are the three interior angles of any triangle.
---------------------------
Angle 3 and angle 4 are vertical angles, so they are always congruent and angle 4 is also 60 degrees
---------------------------
Let z = measure of angle 5
Focusing on the smaller triangle in the middle, we can say,
(angle2)+(angle4)+(angle5) = 180
(69) + (60) + (z) = 180
z+129 = 180
z = 180-129
z = 51
angle 5 = 51 degrees
Related Questions
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.
Answers
Answer:
6.5 feet
Step-by-step explanation:
The guy above me is correct its 6.5 feet
List the members of the domain and range in the relation {(2, 8),(3, 27), (4, 64)}. *
Answers
Answer:
Step-by-step explanation:
Domain is indicative of the x values,while range is the y values. For our relation, the domain will be
D = {2, 3, 4} and the range will be
R = {8, 27, 64}
The perimeter fence of a certain lot for Ipil-Ipil seedlings is 60 meters with the length of 10 meters. What is the area of the lot?
Answers
Answer: 200 m²
Step-by-step explanation:
The perimeter is calculated by the formula:
= (2 * length) + (2 * width)
We have the perimeter so we can find the width:
60 = (2 * 10) + (2 * w)
60 = 20 + 2w
2w = 60 - 20
w = 40 / 2
w = 20 meters
Area of a rectangle can be used because this fits the characteristics of a rectangle:
= Length * Width
= 10 * 20
= 200 m²
What angle is this?
-Complementary
-Vertical
-Adjacent
-Supplementary
Answers
Answer:
Vertical
Step-by-step explanation:
Angles a and b reflect each other, which is what vertical angles are.
54,372,000,000,000 in scientific notation
Answers
Answer:
5.4372 x 10 to the 5th power
Step-by-step explanation:
Answer:
[tex]5.4372*10^{13}[/tex]
Step-by-step explanation:
Which statement is true about the local minimum of the graphed function? O Over the interval [-4. -2], the local minimum is 0 Over the interval [-2, -1), the local minimum is 25 o Over the interval [-1.4], the local minimum is 0 Over the interval [47], the local minimum is -7.
Answers
Answer:
Step-by-step explanation:
123
What would be please help me out
Answers
Answer:
Third Choice, 1774.67π cm³
Step-by-step explanation:
Volume=(4/3)πr³
=(4/3)π×11³
=(4/3)π×1331
=1774.67π cm³
x^2+3x−10=0 (solve for x)
Answers
Answer:
x1=2 x2=-5
Step-by-step explanation:
Laura has rectangular piece of wood that is 8 inches by 5.She wants to cover the top of the piece of wood with strips of ribbon that are 1/5 inch wide
What length of ribbon does she need to cover the top piece of wood?
Answers
Answer:
Laura will need 40 inches of string for this project.
Step-by-step explanation:
Divide 1/5 inch/strip into 8 inches:
8
------- = 40 inches
(1/5)
A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?
Answers
Answer:
153.9
Step-by-step explanation:
14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.
Answer:
153.9
Step-by-step explanation:
We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.
Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?
Answers
Answer:
710 ft
Step-by-step explanation:
8750 - 5200 = 3550
3550 / 5 = 710
What can you conclude about these triangles? Check
all that apply.
0 Angle E corresponds to angle L.
O All corresponding angles are proportional.
The measure of angle E is 29º.
0 The two triangles are similar.
The two triangles are congruent.
Answers
Answer:
Angle E corresponds to angle LThe two triangles are similarStep-by-step explanation:
Angle E corresponds to angle L because the two triangles are similar (and we know this becuase corresponding sides are proportional.
1) A searchlight is mounted on the front of a search and rescue helicopter. The pilot is
flying the helicopter 150 m above the ground and the centre of the searchlight is angled
down at an angle of 70 degrees from the horizontal. The beam spreads out by 2.5
degrees to either side of the centre of the beam. How wide an area does the beam
illuminate on the ground?
I
I need it today please
Answers
A silo for storing grain Is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the
silo
Answers
Answer: 54,454 ft^3
The volume of the cylinder is about 50265.4 and the volume of the cone is 4188.7. If you add this together you get 54,454.1. Therefore, 54,454 ft^3 is the answer
. Theo is comparing shark lengths. He learned that a horn shark is 2 3/4 feet long. A blue shark is 4 times as long. Use the bar model. How long is a blue shark?
A 8 3/4 feet
B 11 feet
C 12 1/4 feet
D 13 feet
Answers
Answer:
11
Step-by-step explanation:
2 3/4 times 4 equals 11
what is 713.49 written in standard form
Answers
Seven hundred thirteen point forty - nine
which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Answers
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
Pls do it for me thank you so much
Answers
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
please help!!!! i really need to get this done
Answers
Answer:
142°
Step-by-step explanation:
One pot has a water height of 8cm. Calculate the water pressure at the bottom of the pot. They give g = 10N / kg p = 1000kg / m3
Answers
We are given:
Depth of water column = 8 cm
g = 10 N/kg and ρ (density) = 1000 kg / m³
Finding the pressure at the bottom:
We know that the formula for pressure at the bottom of a fluid is:
P = P₀ + hρg [where P₀ is the atmospheric pressure]
P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)
P = P₀ + 800 N/m²
we know that the atmospheric pressure, in N/m² is approximately 10⁵
P = (10⁵ + 800) N/m² [N/m² is also commonly called 'Pascals']
which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is
Sharon started driving on the highway in the morning. The equation m=60h represents the number of miles, m, that Sharon has driven on the highway in h hours. Four other cars are on the same highway. click on all the graphs that represent cars moving faster than Sharon's car.
Answers
Answer: car 1, and car 4
Step-by-step explanation: if you look at the graphs you would have to look at where 1 hour would hit 60. If it’s past 60, the car is moving faster than sharon. Hope this helps!
I’ll mark as brainliest.
Answers
Answer:
7 + 7 = 14(given lengths)
34(total length) - 14(given length) = 20
20 divided by 2(2 missing slots) = 10
Answer:
10 in
Step-by-step explanation:
formula for perimeter:2 (l + b)
perimeter=34 in
2 ( l + 7 ) = 34
2l + 14 = 34
2l = 34 - 14
l = 20 ÷ 2
l = 10 in
Andrew had 40 dollars to spend on paying the paint store was having a sale each color comes in one gallon container that cost $12 each 3/8 of a gallon is needed to paint each wall will he have enough money to buy for the room explain your answer there are four walls to be painted
Answers
Answer:
yes, he would have enough money
He would need a total of 1.5 gallons to paint the wall .
the cost of 1.5 gallons is $18 dollars.
Andrew has 40. he has enough money
Step-by-step explanation:
total gallon needed to pain four walls = 3/8 x 4 = 1 1/2 gallons
total cost of 1 1/2 gallons = 1 1/2 x $12
to calculate this amount convert 1 1/2 to improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
3/2 x $12 = $18
Factor 48q + 6 :Example of form: Factor 15a + 10 Answer. 5(3a + 2)
Answers
Answer:
=6 times 8q+6
=6(8q+1)
Step-by-step explanation:
From the top of a cliff 8 metres high,two boats are seen in a direction due West. Find the distance between the boats if their angles of depression from the top of a cliff are 45 degrees and 30 degrees. Find also the actual distance the further boat from the top of the cliff.
Answers
Answer:
Distance of first boat = 8 meter
Distance of second boat = 13.87 meter (Approx.)
Step-by-step explanation:
Given:
Height of cliff = 8 meter
Angle of depression respectively = 45° and 30°
Find:
Distance of boats
Computation:
Tanθ = Perpendicular / Base
Tan45 = 8 / Distance of first boat
1 = 8 / Distance of first boat
Distance of first boat = 8 meter
Tan30 = 8 / Distance of second boat
0.577 = 8 / Distance of second boat
Distance of second boat = 8 / 0.577
Distance of second boat = 13.8648
Distance of second boat = 13.87 meter (Approx.)
help find value of x and Angle HIK
Answers
Answer:
4) x = 19
Part B = 37
Step-by-step explanation:
These 2 angles are equal to each other because they're vertical angles.
4x + 67 = 143
4x = 143 - 67
4x = 76
x = 19
m<HIK:
180 - 143 (because it's supplementary to m<GIK)
37
One day, the hours without daylight in a particular city was 17 3/4 hours. What was the number of hours of daylight? PLS help me ASAP!
Answers
Answer:
6 ¼ hours of Daylight
Step-by-step explanation:
a day = 24 hoursyou know that there was 17 ¾ hours of no day light 17 ¾ = 17.7524 - 17.75 = Daylight hoursdaylight hours = 6.25if please help !!!!!!!!
Answers
Answer:
ok question?
Step-by-step explanation:
help me please (3) 20 points
Answers
Answer:
Step-by-step explanation:
surface are of cuboid=2(lb+bh+hl)
=2(14*12+12*6+6*14)
=2(168+72+84)
=2*324
=648 in.^2
Answer:
648 inches
Step-by-step explanation:
First, you do 14 times 12 times 2 and get 336.
Next, you do 14 times 6 times 2 and get 168.
Then you do 6 times 12 times 2 and get 144.
Now add 336, 168, and 144 together to get 648.
What is the length of this rectangle?
Answers
Answer and Step-by-step explanation:
The answer is:
[tex]x^3 - 3[/tex]
When we multiply this length by the height ([tex]8x^{2}[/tex]), we get the area.
When a power/exponent (attached to a base/number) is having its' base being multiplied to another base with an exponent (and the bases are the same), the exponents will add together.
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