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yanalaym [24]
3 years ago
10

X+3y=18 3x+9y=12 determine weather the graphs of each pair of equations are parallel, perpendicular, coinciding, or none of thes

e
Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

The two lines are parallel.

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B) T is due north of C, calculate the bearing of B from C
choli [55]

Answer:

(a) 52°

(b) 322°

Step-by-step explanation:

(a) The details of the circle are;

The diameter of the circle = AOC

The center of the circle = Point O

The point the line AT cuts the circle = Point B

The point the tangent PT touches the circle = Point C

Angle ∠COB = 76°

We have that angle AOB and angle COB are supplementary angles, therefore;

∠AOB + ∠COB = 180°

∠AOB = 180° - ∠COB

∴ ∠AOB = 180° - 76° = 104°

∠AOB = 104°

OA = OB = The radius of the circle

Therefore, ΔAOB  =  An isosceles triangle

∠OAB = ∠OBA by base angles of an isosceles triangle are equal

∠AOB + ∠OAB + ∠OBA = 180° by angle summation property

∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°

∠OAB = (180° - ∠AOB)/2

∴ ∠OAB = (180° - 104°)/2 = 38°

∠TAC = ∠OAB = 38° by reflexive property

AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;

∠TCA = 90° and ΔTCA = A right triangle

∠TAC + ∠ATC + ∠TCA = 180° by angle sum property

∠ATC = 180° - (∠TAC + ∠TCA)

∴ ∠ATC = 180° - (38° + 90°) = 52°

Angle ATC = 52°

(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°

∴ ΔABC = A right triangle

∠ABC and ∠TBC are supplementary angles, therefore;

∠ABC + ∠TBC = 180°

∠TBC = 180° - ∠ABC

∴ ∠TBC = 180° - 90° = 90°

∠TCB = 180° - (∠TBC + ∠ATC)

∴ ∠TCB = 180° - (90° + 52°) = 38°

The bearing of B from C = (360° - 38°) = 322°.

7 0
2 years ago
Please help me with the answer ASAP
DENIUS [597]

Answer:

y = 4x + 1

Step-by-step explanation:

y = mx + b

b = y-intercept

From the graph we see that b = 1

m = slope

Start at (0, 1). Go up 8 units. Rise = 8. Go right 2 units. Run = 2.

slope = rise/run = 8/2 = 4

y = 4x + 1

6 0
2 years ago
For what value(s) of k will the function y=6x^2-8x+k have
liubo4ka [24]
Think the answer is a
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8.1 Lesson 10 Problem Set (8.EE.A.4)
arsen [322]

Answer:

q

Step-by-step explanation:

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2 years ago
II need help ill give brainliest
DanielleElmas [232]

Answer:

1/4

Step-by-step explanation:

Based off the data we can determine that there are 4 different types of items. Since any of them can be checked out next, the probability is 1/4.

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