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2 years ago

Anyone plz plz help only 4 questions and I will mark as brainliest plz more points

Mathematics

1 answer:

LiRa [457]2 years ago

5 0

Answer:

x = 50°, alternate interior angles
z = 60°, corresponding angles
y = 180° - (50° + 60°) = 70°, straight angle is 180°

ii)

b = 180° - 152° = 28°, consecutive interior angles
a + b = 58° ⇒ a = 58° - 28° = 30°, alternate interior angles

iii)

Imagine parallel line through vertex of angle x.

x = 36° + 28° = 64°

iv)

Same as above:

x = 360 - (45° + 35°) = 280°

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$1.66 * 10^{0}$

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1.66 * 10^0

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3 years ago

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Which measurement is closest to the measure of segment W Z?

noname [10]

Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The measurement is closest to the measure of segment WZ is
2.13 cm

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ryzh [129]

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Step-by-step explanation:

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Anyone plz plz help only 4 questions and I will mark as brainliest plz more points​

Anyone plz plz help only 4 questions and I will mark as brainliest plz more points