m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.
<h3>
Further explanation</h3>
Follow the attached picture. I sincerely hope that's precisely a correct illustration.
We will use a graph of two intersecting straight lines.
Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see
We continue to determine m ∠b and m ∠d.
Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.
Let us see the following steps.
Both sides subtracted by 47°.
Thus
Finally, note that m ∠b and m ∠d are vertical angles. Accordingly,
<u>Conclusion:</u>
- m ∠a = 47°
- m ∠b = 133°
- m ∠c = 47°
- m ∠d = 133°
<u>Notes:</u>
- Supplementary angles are two angles when they add up to 180°.
- Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure.
<h3>Learn more</h3>
- About the measure of the central angle brainly.com/question/2115496
- Undefined terms needed to define angles brainly.com/question/3717797
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
initial value of 3, namely when x = 0, y = 3, so we have the point (0 , 3) and it has a rate or slope of 3/4.
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
Answer:
15.81
Step-by-step explanation:
Use the distance formula:
So the distance formula for two given points is
Distance= sqrt((x2-x1)^2 +(y2-y1)^2 ) =sqrt((-3-6)^2 +(-8-5)^2 )
=sqrt((-9)^2 +(-13)^2 )
=sqrt(81+169)
=sqrt(250)
=15.81
Hope this helped
:)
Slope is change in y over the change in x.
Slope = (-7 - 2) / (-1 -2)
Slope = -9/-3
Slope = 3