Answer:
m∠X= 22°
Step-by-step explanation:
In ΔVWX:
m∠V=(7x−1) ∘
m∠W=(4x+16) ∘ ,
m∠X=(3x−17) ∘ . Find M∠X.
Step 1
We find the variable x
The sum of angles in a triangle is 180°
Hence,
ΔVWX = m∠V + m∠W +m∠X
180° = (7x - 1)° + (4x + 16)° + (3x - 17)°
180° = 7x - 1 + 4x + 16 + 3x - 17
180° = 7x + 4x + 3x - 1 + 16 - 17
180° = 14x -2
Collect like terms
180° + 2 = 14x
182° = 14x
x = 182°/14
x = 13°
Step 2
We find m∠X
m∠X = (3x−17) ∘
x = 13
m∠X = (3 × 13 − 17)°
m∠X = (39 − 17)°
m∠X = 22°
Answer:
c. Side-Angle-Side
Step-by-step explanation:
Two sides (AB and AC) and an included angle (<BAC) in triangle ∆ABC are congruent to two corresponding sides (AD and AC) and an included corresponding angle (<DAC) in ∆ADC.
Therefore, by the SAS Congruence Theorem, both triangles are congruent.
-32^3/5
= (-2^5)^3/5
= -2^3
= -8
answer
-8
Answer:
The correct answer is the equation stands as 4x =40 where x is the number of pages Naomi would require and the value of this x is 10.
Step-by-step explanation:
Number of countries that competed in 1900 summer Olympic games is 28.
Number of countries that competed in 1904 summer Olympic games is 12.
Total number of countries competed in total is 40.
Each page of Naomi's report contains information about 4 of the countries that competed each year.
Let Naomi need x number of pages to incorporate the whole report.
Thus the equation now stands as 4 × x = 40.
⇒ x = 10.
Thus Naomi would require 10 pages to complete her report.
19 has 2 factors (1,19)
21 has 4 factors (1,3,7,21)
23 has 2 factors (1,23)
25 has 3 factors (1,5,25)
you need the nearest number 25 that has 5 factors or more :28(1,2,4,7,14,28)