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2 years ago

Angle 1 and angle 2 are supplementary angles. m<1 is 4y + 7, and m<2 is Sy + 4. Find m<2.

Mathematics

1 answer:

Doss [256]2 years ago

7 0

Step-by-step explanation:

First, we should define supplementary angles.

Supplementary angles are angles that add up to 180 degrees.

Since 1 and 2 are supplementary and we know their values, we just set them equal to 180 degrees

(

)

(

)

180

Now just solve for one variable

180

169

Now the question asks for m<2, which is

So we just plug in

⋅

121

So m<2 is 121

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suter [353]

Linda should use ...
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3 years ago

Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

3 years ago

1 point

Alex

Answer:

Step-by-step explanation:

tan49=h/17

h=17tan49

h=19.6 m

5 0

2 years ago

Declan draws triangle WXY. He then constructs a perpendicular bisector from vertex W that intersects side XY at point Z. What ca

Ganezh [65]

Answer:

YZ = XZ

Step-by-step explanation:

Perpendicular Bisector:

A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.

Given:

1. A triangle WXY.

2. A perpendicular bisector from vertex W that intersects XY at point Z.

Conclusion based on the drawing:

a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.

b. Hence, XZ = YZ.

5 0

3 years ago

Read 2 more answers

Solve this equation 4y+228=352

statuscvo [17]

4y + 228 = 352

4y = 352 - 228

4y = 124
--- ----
4 4

------------
| y = 31 |
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hope this helps