Answer:
A) 68
Step-by-step explanation:
Use the <em>Exterior Angle Theorem</em>.
The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.
Set the equation. Note that you are given the exterior angle and one interior angle:
58 + x = 126
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:
x + 58 (-58) = 126 (-58)
x = 126 - 58
x = 68
A) 68 is your answer.
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We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.
A=B
Method 1:
We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5
B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º ⇒ C=2*40º=80º
Answer:
a=7; A=50º
b=7; B=50º
<span>c=9; C=80º
Method 2:
Law of cosines:
a²=b²+c²-2bcCosA ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º
B=A=50º
A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º
Answer:
</span>a=7; A=50º
b=7; B=50º
<span>c=9; C=80º</span>
Answer:29
Step-by-step explanation:
Opposite angles in a quadrilateral (the trapezium inside the circle) must add up to 180, so 180-92 = 88.
So DAB = 88
Angles on a straight line add up to 180, so to find t, you have to 180 - 88 - 63 = 29
So t is 29.
Hope that helps!
Answer:
6 ballpoints pens is the better buy
Step-by-step explanation:
$4.80 x 6 = $28.80
$6.48 x 8 = $51.84
It's cheaper
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