Which is a true statement about the diagram? m∠5 + m∠6 = m∠1 m∠3 + m∠4 + m∠5 = 180° m∠1 + m∠2 = 180° m∠2 + m∠3 = m∠5
Answers
m<1 +m<2 = 180° is the answer
Answer:
Third option is the right choice.
Step by step explanation:
We have been given an diagram and we are asked to choose the true statement about the diagram.
Let us see our all choices one by one.
1. [tex]m\angle5+m\angle6=m\angle1[/tex]
We can see that [tex]\angle5[/tex] and [tex]\angle6[/tex] are supplementary and there measure should be equal to 180 degrees. [tex]\angle1[/tex] is exterior angle of our triangle and its measure must be equal to sum of measures of [tex]\angle5[/tex] and [tex]\angle3[/tex].
Therefore, 1st option is incorrect.
2. [tex]m\angle3+m\angle4+m\angle5=180^{o}[/tex]
We can see that [tex]\angle3[/tex] and [tex]\angle4[/tex] are supplementary and they must be equal to 180 degrees. Therefore, 2nd option is also incorrect.
3. [tex]m\angle1+m\angle2=180^{o}[/tex]
We can see from our diagram that [tex]\angle1[/tex] and [tex]\angle2[/tex] are supplementary. Therefore, 3rd option is the correct choice.
4. [tex]m\angle2+m\angle3=m\angle5[/tex]
We can see that [tex]\angle2[/tex], [tex]\angle3[/tex] and [tex]\angle5[/tex] are interior angles of our triangle and their measure should be equal to 180 degrees. By exterior angle theorem sum of measures of [tex]\angle2[/tex] and [tex]\angle3[/tex] will be equal to measure of [tex]\angle6[/tex] instead of [tex]\angle5[/tex].
Therefore, our 4th option is also incorrect.
Related Questions
Will someone please do number 4 and 6 for me ?
Answers
90 +90 + 42 = 222
360-222 = 138
y = 138 degrees
x - 42 degrees
6. x = arctan(8/4) = 63.43 degrees ( round as needed)
y = 16 / tan(63) = 8.15 ( round as needed)
A number w added to 2.3 is more than 18.
Answers
w +2.3 > 18
To solve:
w + 2.3 > 18
subtract 2.3 from both sides
w > 15.7
Hope this helps!
the answer ............
Answers
g(0) = 2
1. f(g(0)) = f(2) = 0
2. h(f(0)) = h(2) = 2² -3 = 1
3. h(g(0) +1) = h(2 +1) = h(3) = 3² -3 = 6
What is the lcm of 45 and 54?
Answers
= 45*54/9
= 270
The least common multiplie is 270.
7.7.33
Question Help
The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about
9898
kilopascals. For every 1000-m increase in altitude, the pressure decreases about
11.411.4%.
What is the approximate pressure at an altitude of
40004000
m?
The pressure at an altitude of
40004000
m is about
nothing
kilopascals.
Answers
At sea level, the height is 0 and
the pressure is 98 kilopascals
At 1000 ft, the height is 1000 and
the pressure decreases about 11.41%
i(100%-11.41%)/100----> (0.8859)
therefore
1) at 1000 ft--------> the pressure is 98*(0.8859)----------> 86.82 kilopascals
2) at 2000 ft--------> the pressure is 86.82*(0.8859)-------> 76.91 kilopascals
3) at 3000 ft--------> the pressure is 76.91*(0.8859)-------> 68.14 kilopascals
4) at 4000 ft---------> the pressure is 68.14*(0.8859)-------> 60.36 kilopascals
the answer is
The pressure at an altitude of 4000 m is about 60.36 kilopascals
What are the roots of the polynomial equation?
x^2−14x−32=0
Enter your answers in the boxes.
Answers
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)
Answers
A garden has 2 yellow rose plants. These rose plants represent 1/8 of the plants in the entire garden. How many plants are in the entire garden?
Answers
the sum of two numbers is 16 , and there difference is 8. determine the numbers by solving the following systems of equations,using x and y to represent the unknown numbers. x+y= 16
x_y=8
Answers
Answer:
Step-by-step explanation:
steven needs to purchase enough wallpaper to cover a wall measuring 84 square feet. if the width is 5 feet more than the length, what are the dimensions of the wall?
Answers
The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for .
Answers
The circumference of the circle is: 25.12 mm.
The Circumference of a CircleCircumference of a circle = 2πrGiven:
radius of circle = 4 mm
π = 3.14
Required:
Circumference of the circle
Thus:
Circumference of the circle = 2×3.14×4
Circumference = 25.12 mm
Therefore, the circumference of the circle is: 25.12 mm.
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The correct answer is the circle's circumference is approximately 25.12 millimeters.
To find the circumference of a circle, one can use the formula:
[tex]\[ C = 2\pi r \][/tex]
where [tex]\( C \)[/tex] is the circumference, [tex]\( \pi \) (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]\( r \)[/tex] is the radius of the circle.
Given that the radius [tex]\( r \)[/tex] is 4 millimeters, we can substitute the values into the formula:
[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]
Now, we perform the multiplication:
[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]
t=sqrt(2h-40t/g) I'm not sure where to even start on this one.
Answers
The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for pi
Answers
and diameter=2r
in your case, the circumference is 25.12 miles, so we plug it in to the first formula:
25.12=2pi*r
12.56=3.14*r
4=r
and since 2r=diameter, the diameter is 8
find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches
Answers
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=5\\ h=20 \end{cases}\implies V=\pi (5)^2(20)[/tex]
please help me with another problem
Answers
8. The triangles below are similar. State the following:
1.The similarity ratio
2.Theorem to justify similarity (ex. SSS, SAS, AAA etc)
3.A similarity statement for the two triangles.
Answers
2. Theorem to justify similarity: SAS.
.. MO = 4/3 JO
.. ∠O = ∠O
.. NO = 4/3 KO
3. Similarity statement: ΔMON ~ ΔJOK by SAS.
three lots of three make
Answers
x+2y=6
2x+4y=12
I need to use substitution to solve, may anybody help?
Answers
[tex]x + 2y = 6[/tex]
[tex]x = - 2y + 6[/tex]
[tex]2( - 2y + 6) + 4y = 12[/tex]
then find y and plug that y value into one of the original equations to find x
Hope this helps!
15+w+(-12)=15-12+w what is the answer
Answers
To solve this problem, we need to simplify.
15 + w - 12 = 15 - 12 + w
3 + w = 3 + w
w = w
So, the answer is undefined, since w is not given.
Hope this helps!
Write 14/3 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answers
The value of number 14 / 3 will be;
⇒ 14 / 3 = 4.6666.....
What is Number system?
A system of writing to express the number is called number system.
Given that;
The number is,
⇒ 14 / 3
Now,
Solve the expression by dividing the number as;
The number is,
⇒ 14 / 3
⇒ 3.6666666.....
⇒ 4.66⁻⁻⁻
Thus, The value of number 14 / 3 will be;
⇒ 14 / 3 = 4.66⁻⁻⁻
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true or false one quart is greater than 40 fluid ounces
Answers
One quart is equal to 32 standard US fluid ounces
So, 40 fluid ounces is greater than one quart.
HELP PLEASE!! A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining. Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.
Answers
x = number of weeks.
y = number of boxes after x weeks.
We write the inequation that adapts to the problem
y> -65x + 460
For a number less than 100 boxes we have:
100> -65x + 460
We clear x:
65x> -100 + 460
65x> 360
x> (360/65)
x> 5.54
Answer:
it will take more than 5.54 weeks for the warehouse to have less than 100 boxes
To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality 460 - 65w < 100. Solving this inequality gives w > (460 - 100) / 65, meaning it will take more than 6 weeks.
Explanation:To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality:
460 - 65w < 100
Where 'w' represents the number of weeks. To solve this inequality, we can subtract 460 from both sides and then divide by -65, remembering to reverse the inequality symbol when dividing by a negative number. This gives us:
w > (460 - 100) / 65
So, it will take more than 6 weeks for the warehouse to have less than 100 boxes remaining.
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you sure answer for number 9 to calculate how much money mr. and mrs. J make per week there 52 weeks per year the answer I came up with for the first one was $82,796
Answers
How much do they make together? Correct answer equals - (42038.798) is how much money Mr. and Mrs. Jay make together!
Hope this helps.
Have a great day!
how do you change 87/9 into a mixed number
Answers
whats (-2,8) and (-22,8) finding the slope from points
Answers
Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could have divided the pieces so that everyone ate the same amount of cake.
Answers
hope this helps :)
what is the volume of a cube with a side length of 5/6 cm
Answers
hope this helps! :)
The volume of a cone varies jointly with the area of the base and the height. When the area of the base is 27 cm2 and the height is 6 cm, the volume is 54 cm3. Therefore, the area of the base is _____ cm2 when the height is 12 cm and the volume is 124 cm3.
Answers
[tex]\bf \textit{\underline{V} varies jointly with \underline{B} and \underline{h}}\qquad V=kBh \\\\\\ \textit{we also know that } \begin{cases} B=27\\ h=6\\ V=54 \end{cases}\implies 54=k(27)(6)\implies \cfrac{54}{(27)(6)}=k \\\\\\ \cfrac{1}{3}=k\qquad therefore\qquad \boxed{V=\cfrac{1}{3}Bh} \\\\\\ \textit{when h = 12, and V = 124, what is \underline{B}?}\qquad 124=\cfrac{1}{3}B(12)[/tex]
The area of the base of a cone can be calculated by using the volume, height, and a constant derived from given values. Applying this formula to the specified conditions, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.
Explanation:The volume V of a cone can be represented using the formula V = k * B * h, where 'V' is the volume, 'B' is the area of the base, 'h' is the height, and 'k' is a constant proportionality factor. In this case, you are given that the area of the base is 27 cm2, the height is 6 cm, and the volume is 54 cm3. From these values, you can calculate that the constant 'k' is (54/(27*6)) = 0.333. Now, given a volume of 124 cm3 and a height of 12 cm, you can rearrange the equation to solve for the area of the base 'B': B = V/(k*h) = (124/(0.333*12)) = 31 cm2. Therefore, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.
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If the Federal Reserve decreases the reserve rate from 5% to 2.5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $35,000? A. It incraeses the amount by 1,400,000 B.It decreases the amount by 1,400,000 C.It decreases the amount by 700,000 D. It increases the amount by 700,000
Answers
.. 35000/5% = 700,000
to
.. 35000/2.5% = 1,400,000.
It increases the amount by 700,000, corresponding to the 4th selection.
What term describes the set of all possible output values for a function?
A. Output
B. Input
C. Range
D. Domain
Answers
The answer is option D domain.
Reason:
The answer is option D because Domains are used to find the outputs for a function. Its not input because inputs are usually used to help find the function. Its also not C because range is used to find the median, mean etc... of a group of numbers (which is not a function).
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer:
The answer is option C !!
Step-by-step explanation: