Answer:
65
Step-by-step explanation:
<S = <t
x + 50 = 3x + 20
2x = 30, x = 15
. <t = <v
3x + 20 = 45 + 20 = 65
Answer:
CD ≅ CD, Reflexive property
Step-by-step explanation:
We want to show the triangles are similar by SAS. We've already proven that one pair of their sides are congruent (AC ≅ BD), and that one pair of their angles are congruent (∠CDE ≅ ∠DCE), so we need to show that the next pair of sides are congruent.
Answer:
5 km would be the answer
Step-by-step explanation:
For 45-45-90 triangles, the values are x, x, for the less long sides, then for the hypotenuse it's x sqrt2, because that is the rule for 45-45-90 triangles. So since in this problem, the value for the hypotenuse is 5sqrt2 km, the c value would be 5 km. Hope this helps!
Let X = number of Giraffes
Number of elephants = 3X - 4
Because it was stated that there are more than 23 elephants, the number should not fall below 23.
The algebraic expression would be:
3X - 4 = 23
To get X; Transfer -4 to the other side, changing its sign to positive.
3X = 23 + 4
3X = 27
To get X; Divide both sides by 3
X = 27 / 3
X = 9
Since X represents the number of giraffes, then, there are 9 giraffes in the zoo.
To Check: Substitute X with 9 in the algebraic expression.
3X - 4 = 23
3(9) - 4 = 23
27 - 4 = 23
23 = 23 EQUAL