Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.
<h3>The condition for two parallel lines.</h3>
In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
<h3>What is the alternate interior angles theorem?</h3>
The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):
For angle BDF, we have:
<BDF = <BDH + <HDF
<BDF = 38° + 62°
<BDF = 100°.
Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:
∠BDF + <DFC = 180°
<DFC = 180 - ∠BDF
<DFC = 180 - 100
<DFC = 80°.
For angle CFG, we have:
∠DFE + <DFC + <CFG= 180°
<CFG = 180° - ∠DFE - <DFC
<CFG = 180° - 62° - 80°
<CFG = 38°.
Read more on parallel lines here: brainly.com/question/3851016
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Answer:
Option B ⇒ Area of base of each pyramid :
Option A ⇒ Volume of pyramid :
cm3
Step-by-step explanation:
One side of tile consists of 4 pyramids and since length of whole tile is x,
So, the base length of each pyramid = 
⇒ Area of base of each pyramid = side²
⇒ Area =

Volume of square based pyramid :

For 1. The correct Option is B
For 2. The correct option is A
Answer:
1 1/2
Step-by-step explanation:
1*6=6
6/4=1.5
1.5 1 1/2
96 ---> 100%
60 ----> x
x=(60*100%)/96=62.5%
1:40 because 25 plus 15 equals 40 and if it went over 60 it would 2:00 so the answer is 1:40