Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:45=3x3x5
Step-by-step explanation:
prime factorization of 45
45 ➗ 3=15
15 ➗ 3=5
5 ➗ 5=1
45=3x3x5
Answer:
D:21
Step-by-step explanation:
Use the vertical angles equation.
4x + 13 = 5x - 8
Subtract 4x from 5x.
5x - 4x = x
13 = x - 8
Add 8 on both dies.
13 + 8 = 21
x = 21
JKLM has x that equals 21.
<JKLM and <LMJK equal 97 degrees.
Hope it helped!
Answer:
<span>⇒x=9</span> (positive solution)
Explanation:
<span><span>x2</span>−36=5x</span>
<span>→<span>x2</span>−36−5x=0</span>
Factor the expression:
We get:
<span><span>(x−9)</span><span>(x+4)</span>=0</span>
First solution:
<span>⇒<span>(x−9)</span>=<span>0<span>x+4</span></span></span>
<span>⇒<span>(x−9)</span>=0</span>
<span>⇒x=<span>9</span></span>
I can’t see, make it clear
