The equation that can be written to solve for x is:
3x - 75 = 106
There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)° . What equation can you write to solve for x ?(1 point) Responses 3x°−75°=106° 3 x minus 75 equals 106 degrees 3x°−75°+106°=90° 3 x minus 75 plus 106 degrees equals 90 degrees 3x°−75°−106°=180° 3 x minus 75 minus 106 degrees equals 180 degrees 3x°−75°+106°=180°
11 answers
Two intersecting lines create four angles; ∠1 and ∠3 are a vertical pair. Their sum of their measures is equal to 68° . What equation solves for the value of each angle?(1 point) Responses 68x°=2° 68 x equals 2 x°=68° x equals 68 degrees 2x°=68° 2 x equals 68 degrees 2x°+68°=180°
The equation that solves for the value of each angle is:
∠1 + ∠3 = 68°
∠1 + ∠3 = 68°
no wich 1 is right
Apologies for the confusion. The correct equation is:
∠1 + ∠3 = 68°
∠1 + ∠3 = 68°
The sum of the measures of two vertical angles is 300° . Solve for the measure of each angle.(1 point) Responses 120° 120 degrees 90° 90 degrees 150° 150 degrees 75°
If the sum of the measures of two vertical angles is 300 degrees, then each vertical angle would be half of that amount. Therefore, the measure of each angle would be 150 degrees.
In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)° , and m∠3=98° , what is the value of x ?(1 point) Responses 9898 18 18 7272 14
To find the value of x, we can set up an equation by equating the measures of ∠1 and ∠3:
∠1 = ∠3
(4x + 26)° = 98°
Now, we can solve for x:
4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = 18
Therefore, the value of x is 18.
∠1 = ∠3
(4x + 26)° = 98°
Now, we can solve for x:
4x + 26 = 98
4x = 98 - 26
4x = 72
x = 72/4
x = 18
Therefore, the value of x is 18.
For two vertical angles with measures m∠2=(5x+23)° and m∠4=(3x+35)° , what is the measure of each angle?(1 point) Responses 29°29 degrees 53° 53 degrees 6°6 degrees 15.3°
For two vertical angles, their measures are equal. Therefore, we can set up an equation by equating the measures of ∠2 and ∠4:
m∠2 = m∠4
(5x + 23)° = (3x + 35)°
Now, let's solve for x:
5x + 23 = 3x + 35
2x = 35 - 23
2x = 12
x = 12/2
x = 6
Now, we can substitute this value of x back into the expressions for ∠2 and ∠4 to find their measures:
m∠2 = (5x + 23)° = (5(6) + 23)° = 53°
m∠4 = (3x + 35)° = (3(6) + 35)° = 53°
Therefore, the measure of each angle is 53 degrees.
m∠2 = m∠4
(5x + 23)° = (3x + 35)°
Now, let's solve for x:
5x + 23 = 3x + 35
2x = 35 - 23
2x = 12
x = 12/2
x = 6
Now, we can substitute this value of x back into the expressions for ∠2 and ∠4 to find their measures:
m∠2 = (5x + 23)° = (5(6) + 23)° = 53°
m∠4 = (3x + 35)° = (3(6) + 35)° = 53°
Therefore, the measure of each angle is 53 degrees.