Answer:
15
Step-by-step explanation:
so if its a 6 faced dice then there is a 3/6 numbers greater than 3. which simplifies to 1/2. 30(1/2)= 15
Let's see by using the Pythagorean theorem.
3 and 4 are legs. 3 is the shortest leg.
7 is the hypotenuse.
The theorem states that:
a² + b² = c²
a = 3
b = 4
c = 7
3² + 4² = 7²
9 + 16 = 49
25 = 49 (Incorrect)
So it is not possible for 3,4,7 to be a right triangle.
Answer:
Option B) ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate
Step-by-step explanation:
we know that
The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
we have that
m∠DCE≅m∠BCA -----> by vertical angles
substitute the values
----> is true
so
Two sides in triangle ABC are are proportional to two sides in triangle EDC and the included angle in both triangles are congruent
therefore
ΔABC and ΔEDC are similar by SAS Similarity Postulate
Answer and Step-by-step explanation: The distance between 2 points is the distance of the straight line that passes through both points. It calculated using the following formula:
d =
1) For A (2,1) and B(4, -1)
d =
d =
d = 2
2) 5 =
25 = x² + 1
x² = 24
x = 2
3) d =
d =
d = 7
Answer:
X=12
Step-by-step explanation:
Add the two equations together and equate them to 180 due to the geometrical reason that angles on a straight line add up to 180.
10X-20+6X+8=180 (collect like terms)
10X+6X=180-8+20
16X=192 (Divide both sides by 16)
X=12
Hope that helps :)