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Anna71 [15]
3 years ago
12

Can anyone tell the answer

Mathematics
1 answer:
QveST [7]3 years ago
6 0
First of all, as the line (y<3x) is dotted, so the sign of its inequality is just <, not <=

Options b ad c are out

To check which region is the right one for the second inequality (y>=-0.5x-4), plug in the origin point (0,0) into the inequality, if it satisfies then the region included the origin is the shaded region (the solution you want), if not, the other region is the solution..


0>+0-4      0>=-4


Yes, it satisfies,,

SO it is A

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Evaluate 150 + 3p for p = 30
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150+3p

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When p=30 in 150+3p, the final value is 240.

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Choose the triangle that seems to be congruent to the given one
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You are driving from Kansas City to Denver. The distance (in miles) you
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The slope is 70

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3 years ago
In ΔABC, AD and BE are the angle bisectors of ∠A and ∠B and DE║ AB. Find the measures of the angles of ΔABC, if m∠ADE: m∠ADB = 2
drek231 [11]

Answer:   ∠A=48°,∠B=48°,∠C=84°.


Step by-step explanation:

Given:  AD and BE are the angle bisectors  of ∠A and ∠B

i.e ∠6=∠7    ( ∵ Angles formed after  AD bisected ∠A)

∠4=∠5       ( ∵ Angles formed after  BE bisected ∠B)

Also,  DE║AB

⇒ ∠2=∠7   (∵ Alternate interior angles)

   ∠3=∠6   (∵ Alternate interior angles)

And ∠ADE : ∠ADB =∠2:∠3= 2:9 =2x : 9x     ..(1)

To Find:  ∠A,∠B,∠C.

Solution:  ∠2=∠7 (∵ Given)    ...(2)

∠2=∠4  (∵ angles on the same segment)    ...(3)

∠4=∠5 =∠B/2 (∵ Given)    ...(4)

∴ In Δ ABD

∠3+∠4+∠5+∠7 = 180 (∵ Sum of interior angles of a triangle)

From equation 2,3,4,5, Put values

9x+2x+2x+2x =180°

⇒15x = 180°

⇒x=12°

Putting values in equation (4) ⇒ ∠ B =2*(2*12) = 48°

Also, <u>∠B=∠A=48°</u>

Now,in Δ ABC

∠C+∠B+∠A= 180°

⇒48°+48°+∠C= 180°

<u><em>⇒∠C=84°</em></u>

6 0
4 years ago
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