Answers
Answer:
a) m = 60°, n = 30°
b) m = 20°, n = 45°
Step-by-step explanation:
a)The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.
Angle n is the complement of angle m, so is 90°-60° = 30°
m = 60°, n = 30°
__
b)The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)
The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.
m = 65° -45° = 20°
m = 20°, n = 45°
_____
Additional comment
The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...
a + 2b = 180°
2b = 180° -a
b = (180° -a)/2 . . . . . . the relation used above
Related Questions
lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
Answers
We can solve it by seeing the graph but let's solve the equations.
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Done
Shapes. I will give brainless answer correctly and tell me the top number and bottom.
Answers
Answer:
2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares
5-m=1.37 PLEASE HELP
Answers
Answer:
m = 3.63
Step-by-step explanation:
5-m =1.37
5-m-5 = 1.37-5
-m=-3.63
-m/-1=-3.63/-1
m= 3.63
Answer:
x = 3.63
Step-by-step explanation:
use elimination;
5 - m = 3.63
+5 +5
5 - 5 + 5 = 5
3.63 - 5 + 5 = 3.63
check answer:
5 - 3.63 = 1.37
therefore; x = 3.63
hope this helps!
Will Give Brainliest
Answers
Answer:
x = 19
Step-by-step explanation:
3x - 1 = 6 (x - 1)
I hope this helps!
Opposite angles are equal
[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]
[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]
[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]
[tex]\\ \sf\longmapsto -3x=-57[/tex]
[tex]\\ \sf\longmapsto x=19[/tex]
someone help me asap
Answers
Answer:
-9
Step-by-step explanation:
Help help help help
Answers
What is f(-3) if f(x)= 1/3x
3
1
-1
-3
Answers
Answer:
-1
Step-by-step explanation:
1/3(-3) cancels the common factor of 3, which leaves the answer as -1.
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
Answers
Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say
1 = 400 meters / 1 lap.
This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):
8 laps * 1 = 8 laps * 400 meters / 1 lap
Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:
8 laps = 3200 meters
please help if you can
Answers
Answer:
Identity property.
Step-by-step explanation:
Any number added to 0 keeps its original value, keeping its identity.
best answer gets brainiest
what is the circumference and the mass of Jupiter and Saturn combined?
Answers
Mercury
Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.
Venus
Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.
Brought to you by Sciencing
Earth
The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.
Mars
Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.
Jupiter
The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.
Saturn
At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.
Uranus
Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.
Neptune
Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.
Answer:
Total Circumference = 514, 170 miles
Total Mass = 2, 467, 000, 000, 000 metric tons
Step-by-step explanation:
hope this helps you
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A rectangular plot of land is 64 ft long and 80 ft wide. On a map, the length is 2.8 in. Identify the width on the map.
Answers
Answer: 3.5"
64:80::2.8":x
[tex]\frac{64}{80}[/tex][tex]\frac{2.8}{x}[/tex]
2.8x80=224
224/64=3.5"
Answer:
3.5
Step-by-step explanation:
that's what the other dude said
1+1 pls omg its impossible
Answers
Answer:
it equals 11 haha !
Step-by-step explanation:
have a great day/night :)
Answer:
2
Step-by-step explanation:
1 + 1 = 2
This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.
Between what two whole numbers is the length of the
diagonal from M to N in the rectangular prism?
—HELP ASAP
I put a pic.
Answers
Answer in the pic hope it helps
How do you do this? Someone please answer quick
Answers
Answer:
b=a^2-6
Step-by-step explanation:
Answer:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
Step-by-step explanation:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is
Answers
See below
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Find the equation of the line that
is parallel to y = 5x – 4 and
contains the point (4,5).
Answers
Answer:
y = 3+1/2
that should be the answer
I need help, the solid below is made from cubes find it volume
Answers
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]
Answer:
40cm
Step-by-step explanation:
Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.
45
23
+(−
45
23
)
Answers
4523 - 4523
0
Find the Common Denominator of 3/12 and 7/12
show your work
Answers
Step-by-step explanation:
3/12 7/10
Make the Denominators same
3*5/12*5 = 15/60
7*6/10*6 = 42/60
Common Denominator is 60
It takes 5 builders 3 1/2 hours to build a wall. How many hours will it take for 2 builders to build an identical wall?.
Answers
Answer:
8.75 hours for 2 builders so complete it
Step-by-step explanation:
its right because im smart and i say its right
If it takes 5 builders [tex]3\frac{1}{2}[/tex] hours to build a wall, it will take 2 builders [tex]8\frac{3}{4}[/tex] hours to build an identical wall
The time taken for 5 builders to build the wall = [tex]3\frac{1}{2}[/tex] hours
The time take for 5 builders to build the wall = 3.5 hours
Time taken for 1 builder to build an identical wall =
5 x (Time taken for 5 builders to build the wall)
Time taken for 1 builder to build the wall = 5 x 3.5
Time taken for 1 builder to build the wall = 17.5 hours
Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2
Time taken for 2 builders to build an identical wall = 17.5/2
Time taken for 2 builders to build an identical wall = 8.75 hours
Time taken for 2 builders to build an identical wall = [tex]8\frac{3}{4}[/tex] hours
Learn more here: https://brainly.com/question/25874783
A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?
Answers
Answer:
this is easy 100% in this case equals 100 so 15 Juveniles equals 15%
Step-by-step explanation:
convert 14 in base 10 into base 5
Answers
Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
Which is NOT a line of symmetry?
1
2
3
4
5
Answers
Answer:
where's the line?
Step-by-step explanation:
add a line next time
???????? Helppppppppp
Answers
In ∆RAM and ∆REP
m<E=m<ALet's check ratio
[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]
[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]
Hence
option B is correct
Answer:
[tex]second \: one \: is \: correct[/tex]
Which equation is equivalent to
A=1/2bh?
A) H=2A/b
B) H= A/2b
C) H= A - 1/2b
D) H= 2A-b
Answers
Answer:
a
Step-by-step explanation:
Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.
Answers
Answer:
First number is -2.5
Second number 5
Step-by-step explanation:
Four times the first number minus three times the second number is 2.
To represent this statement, 4x -3y =2
Two times the first number increased by three times the second is 10.
To represent thsi statement, 2x+ 3y = 10
4x - 3y = 2
2x + 3y =10
4x - 2x = 2x
2x = -5
x= -2.5
The first number is -2.5
By using Substitution
2x + 3y = 10
2(-2.5) + 3y = 10
-5 + 3y = 10
3y = 10 +5
3y =15
y = 5
The second number is 5
....To check my answer
-5 + 15 = 10
Which shows the correct first step to solving the system of equations in the most efficient manner?
3 x + 2 y = 17. x + 4 y = 19.
x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19
Answers
Answer:
x = -4y + 19
Step-by-step explanation:
We have the two equations 3x + 2y = 17 and x + 4y = 19.
The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
We can rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
And we have just completed the first step!
Mariah made a down payment on a van. Which of the following is true because of the down payment?
A. She has additional time to repay the loan.
B. Her credit limit will increase
C. She has some equity or ownership right away.
D. Her insurance will decrease.
Answers
Answer:
Option C. She has some equity or ownership right away.
Step-by-step explanation:
I did the Exam too. And got it right. Hope this helped.
In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.
Answers
There are 7 dimes and 9 quarters in his pocket.
Let the number of dimes be xLet the number of quarters be yIf there are 16coins in total, hence;
x + y = 16 ......................... 1If hamid has $2. 95 in dimes and quarters, this is expressed as:
0.1x + 0.25y = 2.95 ............... 2From equation 1
x = 16 - y ................. 3Substitute equation 3 into 2 to have:
0.1x + 0.25y = 2.95
0.1(16-y) + 0.25y = 2.95
1.6 - 0.1y + 0.25y = 2.95
1.6 + 0.15y = 2.95
0.15y = 1.35
y = 1.35/0.15
y = 9
Since x + y = 16
x = 16 - y
x = 16 - 9
x = 7
Hence there are 7 dimes and 9 quarters in his pocket.
Learn more on simultaneous equations here: https://brainly.com/question/16863577
For a concert, 19 boys and 22 girls bought tickets from the music club. The total cost of the tickets was $256. This total cost includes a $10 tax. What was the cost of each ticket, not including the tax?
Answers
Answer:
6
Step-by-step explanation:
19+22 =41256-10=246246-/41=6I hope this helps :)