Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
<h3>How to illustrate the information?</h3>
It should be noted that complementary angles are the angles that are equal to 90°.
Therefore, based on the information given, the expression will be illustrated thus:
19x + 6 + 9x = 90°
Collect like terms
28x = 90° - 6°
28x = 84
Divide through by 28
28x / 28 = 84/28
x = 3
Therefore, the value of HEB will be:
= 9x
= 9 × 3
= 27°
Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
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Answer:
BAC=BDC(BDX)=30°
Step-by-step explanation:
We know that BD=OD.
But OD=OB= Radius of the circle.
Therefore
BD=OD=OB
BDO is equilateral triangle.
Angle DBO= 60°
Now let us take the intersecting point of CD and AB as X.
In triangle BDX,
BXD= 90°(BXD+BXC=180°, BXD+90°=180°, BXD=90°)
BXD+DBX+BDX=180°{Angle Sum Property}
90°+60°+BDX= 180°
BDX= 30°
We also know that,
BDC(BDX)= BAC (Angles lie on the same arc{BC} are equal in measure.
Therefore,
BAC=BDC(BDX)=30°
Answer:
answer: obtuse
Step-by-step explanation:
Hope that helps!
The answer is the second option, which is 28x + 8y + 2.
Answer:
y = -5/3 - 8
Step-by-step explanation:
We want to write this in the form y = mx + b. We need to find the m (slope) and the b (y-intercept) , Whew, they already gave us the slope, so we are have way there. I will plug in the x and y that we are given from the point (-6, 8) to solve for b.
y = mx + b
8 = -5/3(-6) + b Multiply the fraction by -6
8 = 30/3 + b I can make 6 a fraction by writing it 6/1 and then just multiply straight across. A negative times a negative is a positive.
8 = 10 + b 30/3 is equal to 10. Now subtract 10 from both sides to get b
-8 = b
I can now write the equations since I now know m and b.
y = -5/3 + (-8) which is the same as y = -5/3 - 8. Adding a negative is the same as subtracting a positive.