Can someone help me plz?

Mathematics

1 answer:

mr_godi [17]3 years ago

6 0

Answer:

60 degrees

Step-by-step explanation:

The total measures of a triangle should equal 180 total. Add the three known angles to get 120. Subtract that from 180 to get 60. So, the last angle measures 60 degrees.

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What is the value of x that makes PQ←→||RS←→?

Inessa05 [86]

Answer:

x = 55

Step-by-step explanation:

For PQ and RS to be parallel then

∠ACQ = ∠RDB ( Alternate exterior angles ), thus

3x - 65 = 2x - 10 ( subtract 2x from both sides )

x - 65 = - 10 ( add 65 to both sides )

x = 55

3 0

3 years ago

Find the perimeter of a triangle with vertices A(3, 1), B(2, -1), and C(-3, 2). Leave

natulia [17]

The perimeter of triangle is: 14.15 units

Step-by-step explanation:

First of all we have to find the lengths of sides of triangles

Given

A(3, 1), B(2, -1), and C(-3, 2)

The distance formula will be used to find the lengths of sides

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\$

So,

$AB = \sqrt{(2-3)^2+(-1-1)^2}\\=\sqrt{(-1)^2+(2)^2}\\=\sqrt{1+4}\\=\sqrt{5}\\=2.24\ unitsBC = \sqrt{(-3-2)^2+(2+1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\= 5.83\ units\\AC = \sqrt{(-3-3)^2+(2-1)^2}\\=\sqrt{(-6)^2+(1)^2}\\=\sqrt{36+1}\\=\sqrt{37}\\=6.08\ units$