In the figure given alongside, angle a=angle x and angle b= angle y, show that angle x + angle y + angle z= 180°
Answers
From the diagram shown, the sum of the angle on the straight line is 180degrees.
This means that:
m<a + m<z + m<b = 180 ............. 1
Given the following
m<a = m<x ...... 2
m<b = m<y ...... 3
Substitute equations 2 and 3 into equation1 to have:
m<x + m<y + m<y = 180
Rearrange
m<x + m<y + m<z = 180
This shows the required proof.
Learn more here: https://brainly.com/question/18481614
Related Questions
what is 5cd
when c = 3
and d = 4
Answers
Answer:
60
Step-by-step explanation:
5*3*4
Find the line of symmetry for the parabola whose equation is y = 2x^2 - 4x + 1.
wrong answers = reported
ty<3
Answers
Answer:
y = 2 x^2 - 4 x + 1
parábola
Step-by-step explanation:
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answers
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answers
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
A function w satisfies w(1) = 5 and w(4) = 1. A
function z satisfies z(3) = 4 and z(4) = 5. What is
the value of w(z(3)) ?
A) 1
B) 2
C) 4.
D) 5
ce A
Answers
Answer: A) 1
Since z(3) = 4, w(z(3)) = w(4)Since w(4) = 1, w(z(3)) = w(4) = 1evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)
Answers
Answer:
a). 7
b). -17
c). -2
Step-by-step explanation:
You have to substitute the given x value into the equation.
a). f(3)= 3(3)-2
=9-2
=7
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answers
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
A P E X fasted answer is getting 30 points please hurry.
suppose a normal distribution has a mean of 98 and a standard deviation of 6. what is p(x ≥ 92)
Answers
Answer:
Step-by-step explanation:
If the mean is 98 and standard deviation is 6, then 92 is one standard deviation to the left of the mean; that means that 34% + 34% + 13.5% + 2.35% + .15% of the data is included in this area. Add those up and you get, as a percentage, 84%.
Answer:
0.84
Step-by-step explanation:
yee its right
use an algebraic equation to find the measures of the two angles described below. begin by letting x represent the degree measure of the angles supplement.
the measure of the angle is twenty-nine times greater than its supplement
Answers
30x= 180
One angle is 6 the other is 174
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
Answers
9 more weeks
Explanation:
She already saved 20(3)=60
240=60+20(x)
X=9
She needs 9 more weeks
cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM
Answers
Answer:
Step-by-step explanation:
A square has a perimeter of 4 cm. What is the length of each side?
Answers
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answers
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
the question is in the picture
Answers
Answer:
∠CBA
Step-by-step explanation:
Answer:
<CBA
Step-by-step explanation:
The vertex has to be in the middle
<CBA
<ABC
or we can name it with just the vertex
<B
16-32)
What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?
O 3x + 5y = -9
O 3x + 5y = 9
O 5x - 3y = -15
O 5x - 3y = 15
Answers
Answer:
the fourth option : 5x - 3y = 15
Step-by-step explanation:
the slope of the original line is given by the coordinate differences between the 2 points on the line.
remember, the slope is the factor of x in the line equation and is the ratio y/x indicating how many units y is changing, when x changes a certain number of units.
so, to go from (-3. 2) to (2, -1) x changes 5 units and y -3 units.
therefore, the slope is -3/5.
the slope of a perpendicular line simply switched x and y. and the sign of the slope.
therefore the slope of the perpendicular line is 5/3.
and the line equation is
y = (5/3)x + c
to get c we need the point on the line (3, 0).
0 = (5/3)×3 + c = 5 + c
c = -5
y = (5/3)x - 5
3y = 5x - 15
3y - 5x = -15 or (after multiplying both sides by -1)
5x - 3y = 15
if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?
Answers
Answer:
It's going to take you 17 min to travel 12 miles
assuming you are going with mph
Step-by-step explanation:
I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.
please help me i will give brainliest!
Answers
Answer:
135
Step-by-step explanation:
Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.
Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.
Then divide 2 7/64 by 1/64 to get 135.
Hope this helps!
If there is something wrong, just let me know.
Determine the value of y, if x is -5.
y = |x| – 6
Answers
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answers
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Find an equation of the line through the given points right the answer and slope intercept form
Answers
Answer:
equation is y = 2-x
Step-by-step explanation:
x1 = -3
y1 = 5
x2 = 4
y2 = -2
now
m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1
so m = -1
now
y =mx + b
-2 = -1×4 + b
or, -2 = -4 +b
so, b = 2
now
y = mx+b
y = -1x + 2
or, y = 2-x
what percent of 65 gives you 33
Answers
Answer:
50.8%
Step-by-step explanation:
Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%
Find the missing length indicated.
Answers
Answer:
Does the answer help you?
PLS HELP- please look at the picture below
Answers
9514 1404 393
Answer:
1/3
Step-by-step explanation:
To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.
Then f(2) = 1/x = 1/3.
A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?
Answers
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answers
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answers
Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
evaluate 7-3s for s= -3
Answers
Answer:
16
Step-by-step explanation:
Substitute s = - 3 into the expression
7 - 3(- 3) = 7 + 9 = 16
It's estimated that 330 billion photographs are taken each year. If there are 6.9
billion people in the world, how many photos on average is that per person?
