Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
We want to see<u> how many gallons</u> of liquid we will have in the given mixture. We will find that there are 8 gallons of liquid in the mixture.
<h3>Adding two volumes:</h3>
In this problem, we create a mixture of 1 gallon of water with 7 gallons of juice.
Notice that gallon is a unit of volume, an extensive property (which means that if we add two things with volumes V1 and V2, the final volume is V = V1 + V2)
Then in this case the final volume of the mixture is just:
V = 1 gal + 7 gal = 8 gal
We will have 8 gallons of the mixture.
If you want to learn more about volumes, you can read:
brainly.com/question/1972490
Answer:
320cm³ (option C)
Step-by-step explanation:
The complete image of the question can be found in:
brainly.com/question/16820683
Volume of bird house = volume of a cuboid + volume of a triangular prism
Volume of a cuboid = length × breadth × height
= 8cm × 5cm × 6cm = 240cm³
Volume of triangular prism = ½ base ×height ×length
= ½ × 8×4×5 = 80cm³
Volume of bird house = 240+80
Volume of bird house = 320cm³
Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³