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Ronch [10]
3 years ago
10

Anyoneee help im stuck !! 15 points!!

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0

Answer:

Given: \angle 1, \angle 2, \angle 3, \angle 4 formed by two intersecting segments.

In the given figure;

Linear pair states that a pair adjacent angle formed when two lines intersect.

Then by definition of linear pairs,

\angle 1  and  \angle 2 forms a linear pair

Also,  \angle 2  and  \angle 3 forms a linear pair.

Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).

Then by linear pair postulates;

m\angle 1+ m\angle 2 =180^{\circ}

and

m\angle 2+m \angle 3 =180^{\circ}

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.

then by substitution property of equality:

m\angle 1+m\angle 2=m\angle 2+ m\angle 3

Addition property of equality states that:

if x =y,  then x + z = y+ z

By addition property of equality:

m\angle 1 =m\angle 3     hence proved!

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8 0
3 years ago
Im horrible at math and need help z and both w's
puteri [66]
The sum of all the angles in a triangle is 180°.
There is a right angle -> a 90° angle on the hypotenuse of the largest triangle (the largest being the one that contains both smaller triangles)

To solve this problem, you don't really need to solve y.
Next to the 48° angle, you have two of the same angles, both x variables.
The sum of these three angles has to be 180°48 + 2x = 180 \\ 2x = 180 - 48 \\ 2x = 132 \\ x = 66

Now that we have x, we can calculate the value of z.
We add the value of x and the 90° angle, we later subtract it from 180°

Calculating the value of z:
66 + 90 = 156 \\ 180 - 156 = 24 \\ z = 24

If you really want to know the value of y, you just add up the 90° angle and the 48°, then subtract that from 180°
90 + 48 = 138 \\ 180 - 138 = 42 \\ y = 42


6 0
3 years ago
Lines a and bare parallel 79 What is the measure of angle b? Enter your answer in the box b=​
Len [333]

If lines a and b are parallel, then aº = 79º = dº = bº.

6 0
3 years ago
Describe two methods that can be used to find the area of the composite figure.
vekshin1

You can draw a line to make a square and a rectangle to help find the area. The other method would be to form 2 squares and 1 rectangle.

This is probably wrong but I hope it helps!

4 0
2 years ago
Read 2 more answers
If the equal sides of an isosceles right triangle measure 12 units then the measure of the hypotenuse is
Nata [24]

Answer:

16.97056275

Step-by-step explanation:

12 squared + 12 squared = 288

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