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victus00 [196]
3 years ago
14

ASAP help and explain plz

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
Since x is across from 148, and arcs opposite inscribed angles = 2×angle, then we can find x first.
We could set the 2 angles equal to 180 or their arcs equal to 360.
360 - (2×148) = x-arc
x-arc = 360 - 296 = 64
x = x-arc ÷2 = 64/2 = 32
Now for angle A we plug in for x:
A = 2x+1 = 2(32)+1 = 65°
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Slope= 5 and passes through (-2,0) in slope-intercept form
lilavasa [31]

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

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and point (-2, 0). Substitute:

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Three pieces of wood measure 20 cm, 41 cm, 44 cm. If the same amount is cut off each piece, the remaining length can be formed i
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The length that can be cut off from the three given pieces of wood equally to form a right triangle is 5 cm

Given parameters:

dimension of the three pieces of wood = 20 cm, 41 cm and 44 cm

To find:

  • the length that is cut off to form a right triangle

let the length that is cut off from each of the wood = y

From Pythagoras theorem, we will have the following equation.

(44-y)^2 = (20-y)^2 + (41-y)^2\\\\expand \ the \ equation \ as \ follows;\\\\1936 - 88y + y^2 = 400 - 40y + y^2  + 1681 - 82y + y^2\\\\simplify \ by \ collecting \ similar \ terms \ together\\\\(1936 - 400- 1681) + (-88y + 40y+ 82y) + (y^2 - 2y^2) = 0\\\\-145 +34y - y^2 = 0\\\\multiply \ through \ by \ (-1)\\\\y^2-34y + 145 = 0\\\\factorize \ the \ above \ quadratic\  equation\\\\y^2 -5y - 29y + 145 = 0\\\\y(y - 5) -29(y - 5)=0 \\\\(y -5)(y-29) = 0\\\\y = 5 \ \ \ or \ \ \ \ y = 29

Since the least measurement of one of the pieces of the wood is 20 cm, we cannot cut off 29 cm.

Thus, the highest amount we can cut off equally is 5 cm

learn more here: brainly.com/question/15808950

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