Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Answer:
x = √30
Step-by-step explanation:
From small triangle BDC:
using Pythagorean theorem
CB² = BD² + DC²
x² = BD² + 3²
Fron triangles BDC and ADB.
ΔBDC has long leg BD and short leg DC.
ΔADB has long leg AD and shirt leg BD.
AD : BD = BD : DC
7 : BD = BD : 3
7*3 = BD*BD
BD² = 7*3 = 21
x² = BD² + 3² = 21+9 = 30
x² = 30
x = √30
Now box is 3/4 full
3/4 = 3/4*1
3/4 = 3/4 * 3/3 = 9/12
Box is 9/12 full after heba ate 1/12 of a box of cereal
Initial fraction will be 9/12+1/12
=10/12= 5/6
Answer:
x = 6
y = -9
x = -25
Step-by-step explanation:
<u>1st Equation</u>
Step 1: Write out equation
3(4x - 3) - 19 = 8x - 4
Step 2: Solve
12x - 9 - 19 = 8x - 4
12x - 28 = 8x - 4
4x - 28 = -4
4x = 24
x = 6
<u>2nd Equation</u>
Step 1: Write out equation
-6y + 14 = 32 - 4y
Step 2: Solve
-2y + 14 = 32
-2y = 18
y = -9
<u>3rd Equation</u>
Step 1: Write out equation
-28 + 5 - 3x = 2 - 2x
Step 2: Solve
-23 - 3x = 2 - 2x
-23 = 2 + x
-25 = x
x = -25
Answer:
4:18 or 20:90 or 8:36
Step-by-step explanation:
I don't see any answer choices to select but make sure they are both multiplied by the same number. A possible answer could be 4:18 or 20:90
<u>Hope this helps :-)</u>
