All categories

3 years ago

Help please need those answers

Mathematics

1 answer:

icang [17]3 years ago

8 0

We know: The sum of the measures of the angles of a triangle is equal 180°.

We have: m∠A =65°, m∠B = (3x - 10)° and m∠C = (2x)°.

The equation:

65 + (3x - 10) + 2x = 180

(3x + 2x) + (65 - 10) = 180

5x + 55 = 180 <em>subtract 55 from both sides</em>

5x = 125 <em>divide both sides by 5</em>

x = 25

m∠B = (3x - 10)° → m∠B = (3 · 25 - 10)° = (75 - 10)° = 65°

m∠C = (2x)° → m∠C = (2 · 25)° = 50°

<h3>Answer: x = 25, m∠B = 65°, m∠C = 50°</h3>

You might be interested in

What is the midpoint <br> (-9,8) and (-4,-2)

kondaur [170]

(-13/2,3), use formula x2+x1/2,y2+y1/2

8 0

3 years ago

Read 2 more answers

1 and 5/8 as a decimal please explain

Lady bird [3.3K]

Answer:

the answer would be 1.625

5 0

3 years ago

Read 2 more answers

Simplify the following expression: <br> -3y+15-(x+2)+5y-13

Roman55 [17]

Answer:

2y-x is the answer

5 0

3 years ago

Read 2 more answers

An isosceles triangle has an angle that measures 38degrees. What measures are possible for the other two angles? Choose all that

Sphinxa [80]

Answer:

71° and 71°.

⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

⠀

So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

⠀

We know that,

The sum of all angles of a triangle is 180°

⠀

So, According to the question :

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + 2x = 180{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 180{}^{ \circ} - { 38 \: }^{ \circ}}}}$

⠀

${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

⠀

${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

⠀

${\longrightarrow \it\qquad { \pmb { x = 71^{ \circ} }}}$

⠀

Therefore,

The measure of the two other angles of the isosceles triangle are 71° and 71°.

3 0

2 years ago

I really need help with this problem, I don't know how to do it. Please help if you can.

Stels [109]

Answer:

see below

Step-by-step explanation:

2/3 +y =1/4

Subtract 2/3 from each side

2/3-2/3 +y =1/4-2/3

y = 1/4 -2/3

Get a common denominator

y = 1/4 (3/3) - 2/3 *4/4

= 3/12 - 8/12

=-5/12

or if

2/(y+3) = 1/4

Using cross products

y+3 = 2*4

y+3 = 8

y =8-3

y = 5

5 0

3 years ago

Read 2 more answers