Hey there!!
(1) Both the angles sum up to be 180.
(2) Both the angles sum up to be 90
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(1) 4x+5+8x-5=180
... 12x=180
... x= 180/12
... x = 15
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(2) 4z+3z+6=90
... 7z+6=90
... 7z=84
... z=84/7
... x=12
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Hope it helps!
Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:
a) 9*π or approx 28.26
b) ∡CRB=100°
Step-by-step explanation:
As known for secants crossing each other inside the circle is coorect the following:
BR*RD=AR*RC
=> 3*RD=4*4.5
RD=6
The diameter of the circle with center P is BD=BR+RD=3+6=9
So the radius of the circle is D/2=9/2=4.5
As known the circumference of any circle can be calculated as
C=2*π*r , where r is the circle's radius
So C=2*4.5*π=9*π= approx 3.14*9=28.26
b) ∡CRB=∡ARD= (arcBC+arcAD), where arcBC and arcAD smaller arcs
BD is the circle's diameter, so arc BD=180°
So arcBC=180°-arcCOD=180°-100°=80°
Similarly arcBD=180°
arcAD=180°-arcBSA=180°-60°=120°
∡CRB= (80°+120°)/2=100°
1st one: since we are dealing with the same unit, months and aid cannot mix so this is wrong
2nd one: doesn't include the 2.59 so this is wrong
3rd one: includes both 70% and 2.59 so this is correct
4th one: this doesn't include a greater than sign > so this is wrong
the answer is the 3rd one
The angles in a triangle add up to 180 degrees. That's the same sum as a linear pair, which we get when two lines cross.
1. 180 - 65 - 45 = 70
Answer: 70°
2. 180 - 90 - 35 = 55
Answer: 55°
3. 180 - 120 = 180 - 50 - x
x = 70
Answer: 70°
