What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?

Mathematics

2 answers:

Vlad [161]3 years ago

6 0

The answer is 27, I had it on a test.

Liono4ka [1.6K]3 years ago

4 0

Step 1: Simplify using distributive property, and other methods needed
2(3y+6+3)=196−16 6y+18=180
Step 2: Subtract 18 from both sides.
 6y+18=180
-18 -18
6y=162
Step 3: Divide both sides by 6.
 6y/6=162/6

y=27

You might be interested in

Please help urgent!!

USPshnik [31]

Answer:

$Q M \cong R M \Rightarrow$ definition of midpoint

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence

$\Delta P Q M \cong \Delta P R M \Rightarrow$ SSS congruence postulate

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem

Step-by-step explanation:

Step 1: Since, M is the midpoint of the line segment QR.

$\overline{Q M} \cong \overline{R M} \Rightarrow$ definition of midpoint

Step 2: The reflexive property of congruence states that a line segment or an angle or a shape is always equal to itself.

$\overline{P M} \cong \overline{P M} \Rightarrow$ Reflexive property of congruence.

Step 3: The SSS congruence postulate states that if three sides of a triangle are equal to three sides of another triangle, then the two triangles are congruent.

$\Delta P Q M \cong \Delta P R M \Rightarrow$ SSS congruence postulate

Step 4: CPCTC theorem states if two triangles are congruent then the sides and angles are also congruent.

$\angle Q \cong \angle R \Rightarrow$ CPCTC theorem.

3 0

3 years ago

Find the volume of this cylinder.

Aleonysh [2.5K]

Cylinder's volume = 1330.5 cm^3

Step-by-step explanation:

radius, r = diameter, d / 2

= 11/2

= 5.5 cm