Answer: 23
Step-by-step explanation: You can start by setting this up as an equation like so,
X + 3(X) =92 where x is Thomas’ age and the 3x indicates Hullans age being 3 times greater than Thomas.
Combine the x’s
4(x) = 92
Divide by 4 X = 92/4
92/4 = 23, x = 23
Answer:
13 buttons
Step-by-step explanation:
The first step is to add the buttons received by the 6 students.
= 10 + 14 + 15 + 12 + 13 + 14
= 78 buttons
Therefore the number of buttons received by each students can be calculated as follows
= 78/6
= 13 buttons
Hence each student will receive 13 buttons
Answer:
75°
Step-by-step explanation:
1. Consider right triangle ABC. In this triangle
m∠C = 90º and CM - angle bisector.
If CM is angle C bisector, then
m∠ACM = m∠MCB = 45º
2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then
m∠MCB + m∠CBM + m∠BMC = 180°,
m∠BMC = 180° - 45° - 30°
m∠BMC = 105°
3. Angles AMC and BMC are supplementary angles, so
m∠AMC + m∠BMC = 180°
m∠AMC = 180° - 105°
m∠AMC = 75°
Answer:
Any equation with the slope -3 and a y intercept that does not equal 5
Step-by-step explanation:
a line is parallel if the line have the same slope, and different y intercepts
3x+y=5
in slope intercept form is
y=-3x+5
slope : -3
y intercept 5
