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2 years ago

What is the value of t in the equation 3(2t + 5) = 5t + 25? (4 points)

2 answers:

5 0

3 ( 2t + 5 ) = 5 t + 25

3 * 2 t + 3 * 5 = 5 t + 25

6 t + 15 = 5 t + 25

6t - 5t = 25 - 15

t = 10

Hope this helps!

zvonat [6]2 years ago

3 0

Answer:

The solution of the equation is t=10

C is correct option

Step-by-step explanation:

Given: $3(2t+5)=5t+25$

We need to solve for t

$3(2t+5)=5t+25$ (Distributive property)

Distribute 3 over the bracket (2t+5)

$6t+15=5t+25$

Move variable term left side and constant right side

$6t-5t=25-15$

Combine like term

$t=10$

Hence, The solution of the equation is t=10

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Read 2 more answers

Find The value of x, y and z

Ratling [72]

Answer:

x = 18 ; y = 10 ; z = 102°

Step-by-step explanation:

The triangle in the pic is an isosceles triangle.

As it is an isosceles triangle , it's two sides will be equal .

$= > 3x - 42 = 12$

$= > 3x = 42 + 12 = 54$

$= > x = \frac{54}{3} = 18$

Also, both the base angles will be equal.

$4y - 1 = 39$

$= > 4y = 39 + 1 = 40$

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5 0

2 years ago

Given that the measure of X is 57° and the measure of y is 51° find the measure of z

avanturin [10]

9514 1404 393

Answer:

132°

Step-by-step explanation:

Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.

Angle ZXQ is vertical to ∠x, so is the same measure.

Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...

∠YQX = 180° -51° -57° = 72°

This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...

∠z = 72° +60°

∠z = 132°

_____

<em>Additional comment</em>

The relations we used are ...

vertical angles are congruent
sum of angles in a triangle is 180°
an exterior angle is equal to the sum of the remote interior angles

8 0

2 years ago