We are going to distribute the 3 to each term in the parenthesis
6x + 3
and since there is nothing else we can do—no like terms
that is the answer
hope this helps.
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
6x + 9 < 3 3x - 8 > 13
6x < 3 - 9 3x > 13 + 8
6x < - 6 3x > 21
x < -6/6 x> 21/3
x < -1 x > 7
solution is : x < -1 or x > 7
====================
4x + 5 > 25
4x > 25 - 5
4x > 20
x > 20/4
x > 5
===================
5 - 2x > = 27
-2x > = 27 - 5
-2x > = 22
x < = -22/2
x < = -11
==================
-2 < = x - 7 < = 11
-2 + 7 < = x - 7 + 7 < = 11 + 7
5 < = x < = 18
Solution:
It is given that two triangles Δ ABC and Δ X Y Z are similar by Side -Side - Side(SSS) Similarity theorem.
So, the Statement which is given, that is →→∠B ≅ ∠Y and ∠B ≅ ∠Z, is inadequate for similarity criterion by SSS, as these statement are about angles of Triangles,not sides, which can't be true.
So, if the two triangles are Similar by SSS criterion , then the appropriate mathematical statement must be,
⇒
Answer:
∠U = 56.4
Step-by-step explanation:
We can use trigonometric functions to solve this
Here we are given the opposite side of ∠U as well as the adjacent side.
When dealing with the adjacent and opposite side we use sin
Sin = Opposite side / Adjacent side
Opp = 5 and adj = 6
So
Sin(U) = 5/6
* take the inverse sine of both sides *
arc(sin)(u) = u
arcsin(5/6) = 56.4 *( rounded to the nearest tenth )
∠U = 56.4