Remember, the length of the longest sid must be less than the sum of the other 2 sidess
33 is longest
33<24+8
33<32
false
it would not make a triangle
The measure of each angles are m∠F = 46°, m∠D = 32°, m∠E = 102°.
<h3>What is angle?</h3>
An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.
The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.
We have given that Δ DEF has
m∠D = m∠F - 14
And
m∠E = 10 + 2(m∠F)
We know that that sum of all angels in a triangle is 180°, So
m∠D + m∠E + m∠F = 180°
Substituting the values we get
(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°
m∠F - 14 + 10 + 2m∠F +m∠F
4(m∠F) - 4 = 180
4(m∠F) = 180 + 4
4(m∠F) = 184
(m∠F) = 46°
m∠D = 46° - 14
m∠D = 32°
m∠E = 10 + 2(m∠F)
m∠E = 10 + 2( 46°)
m∠E = 10 + 92°
m∠E = 102°
Learn more about angle
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A dictionary would weight about 3kg.
3g is less than a tea spoon in mass!
Answer:
Step-by-step explanation:
1. (X) (x)
2. (x-) (x-)
3. Factor 24... 2 and 12, 3 and 8, 4 and 6
4. Which two will subract to make 2?
5. Pick 4 and 6
6. Plug it in
7. Get (x-6) (x-4)
The lowest common denominator (LCM) is the lowest whole number divisible by both denominators without a remainder.
EASY LCM:
multiply the two denominators, then divide the total by the greatest common factor (GCF) between the two denominators.
=(64*32)/32
=2,048/32
=64
-OR-
DETAILED METHOD
STEP 1:
Find prime factors of denominators.
8/64
64: 2 x 2 x 2 x 2 x 2 x 2
8/32
32: 2 x 2 x 2 x 2 x 2
STEP 2:
If factors occur more than once, multiply them the greater number of times they occur.
2 x 2 x 2 x 2 x 2 x 2= 64
ANSWER: The LCM of 8/64 and 8/32 is 64.
Hope this helps! :)
