Answer:
∠ Y = 34°
Step-by-step explanation:
Since XY = ZY then the triangle is isosceles and the base angles are congruent, thus
∠ X = ∠ Y , that is
6x - 23 = 4x + 9 ( subtract 4x from both sides )
2x - 23 = 9 ( add 23 to both sides )
2x = 32 ( divide both sides by 2 )
x = 16
Thus
∠ Z = 4x + 9 = 4(16) + 9 = 64 + 9 = 73° = ∠ X
Hence
vertex angle Y = 180° - (73 + 73)° = 180° - 146° = 34°
Answer:
32+78+x=180
Step-by-step explanation:
All triangle angles add up to 180, so add 78 and 32 then subtract it from 180 to get x, which in another form is 32+78+x=180.
Answer:
36
Step-by-step explanation:
9/10 multiplied by 40= 36 words
Answer:
$1.918
Step-by-step explanation:
The volume of a right circular cone is obtained using the formular :
V = 1/3πr²h
From the question:
Diameter = 9 inches ; height = 10 inches
Radius = diameter /2 = 9/2 = 4.5 inches
V = 1/3*π*4.5²*10
V = 211.95 in³
Volume in ft³ = 211.95 / 1728 = 0.12265625 ft³
Density of popcorn = 34 ounces / ft³
Density of popcorn CONTAINER = x
1 ft³ = 34 ounce
0.12265625 ft³ = x
Cross multiply
x = 34 * 0.12265625 ft³
x = 4.1703125 ounce
Hence, popcorn continer has a density of 4.1703125 ounce
If price per container = $8
The price per ounce = $8 / 4.1703125
= $1.918
Hence, price per ounce is $1.918
Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³
Volume of sand in the new terrarium=10*24*h
where
h------------> is the <span>deep in the new terrarium
</span>remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in
the answer is 2 in