All categories

3 years ago

I dont know man help please

Mathematics

1 answer:

Ratling [72]3 years ago

8 0

Answer:

m∠1 = 63°

m∠2 = 49°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

From the given figure

∵ ∠2 and 49° are vertically opposite angles

∵ The vertical opposite angles are equal in measures

∴ m∠2 = 49°

∵ The sum of the interior angles of a Δ is 180°

∵ m∠1, m∠2, and 68° are interior angles of a Δ

∴ m∠1 + m∠2 + 68° = 180°

∵ m∠2 = 49°

∴ m∠1 + 49° + 68° = 180°

→ Add the like terms in the left side

∴ m∠1 + 117 = 180

→ Subtract 180 from both sides

∴ m∠1 = 63°

∵ ∠3 and 93° formed a pair of linear angles

∵ The sum of the measures of the linear angles is 180°

∴ m∠3 + 93° = 180°

→ Subtract 93 from both sides

∴ m∠3 = 87°

∵ 93° is an exterior angle of the triangle

∵ The measure of the exterior angle of a Δ at one vertex equals the sum

of the measures of the opposite interior angles to this vertex

∵ ∠4 and 49° are the opposite interior angles to 93°

∴ 49° + m∠4 = 93°

→ Subtract 49 from both sides

∴ m∠4 = 44°

You might be interested in

What are the coordinates of the vertex for f(x) = 2x2 + 4x + 9?

Vlada [557]

Your equation $f(x)=2x^2+4x+9$ is in the form $y=ax^2+bx+c$
The vertex only relies on "a" and "b" though, so that +9 doesn't really matter in this case. The vertex of a parabola is located where
$x=\frac{-b}{2a}=\frac{-4}{2(2)}=-1$
So your x-coordinate is -1. You need to find f(-1) to find your y-coordinate, and then you list it in the form (-1, y).

5 0

3 years ago

Read 2 more answers

Jesse added two more numbers to his expression, but the sum did not change. What could the two new numbers be? Explain why the n

kenny6666 [7]

Answer:

0 and 0

Step-by-step explanation:

The only number that can be applied to the expression without changing the sum is 0, for example 5 + 10 = 15, adding 2 0's will be 0 + 5 + 10 + 0 = 15 :D

4 0

3 years ago

Read 2 more answers

Will a 7/32 inch diameter pin fit into a reamed hole with a diameter of 0.215 inches?

lana [24]

Answer:

no ... the pin will not fit the reamed hole

Step-by-step explanation:

The decimal equivalent of 7/32 is 0.21875. This is larger than the reamed

hole: 0.215

and so the answer is no ... the pin will not fit the reamed hole.

6 0

3 years ago

(7, -3) and (9, -5) find the slope

anzhelika [568]

The slope is -2. You find this by putting the rise between the two points over the run.

8 0

3 years ago

Find the area of the shaded polygons:

tigry1 [53]

Answer:

Step-by-step explanation:

Purple: This makes two trapezoids. A=(a+b)/2 times h

1st = (4+1)/2 x 1 = 2.5

2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5

Total = 2.5+7.5=10

Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh

1st = 1/2x2x2 = 2

2nd = 1/2x2x2 = 2

Total = 2+2=4

6 0

3 years ago