Answer:
y = 52 degrees
x = 7 degrees
Step-by-step explanation:
Hello! So, we can first easily find out the measurement of y because of the Base Angles Theorem.
[ The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. ]
- www.ck12.org
So basically, in an iscoceles triangle, the base angles are equal so therefore, y = 52 degrees
Now we have to solve for x. We know that the sum of the angles in a triangle are 180 so we have to make an equation:
52 + y = 14x + 6 {<em>We know that y is 52 degrees so we should plug that in</em>}
52 + 52 = 14x + 6 --> Now we should simplify:
104 = 14x + 6
98 = 14x
x = 7 degrees
Answer:
It’s C and D I just finished the text and finished with 100% thanks to the person in the comments in the question below
Step-by-step explanation:
It would take her 1 hour to earn $1, you don’t get paid by the minutes.
Answer:
58°
Step-by-step explanation:
If m AM=125°, then m∠AOM=125°.
If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).
Thus,
m∠FOA=360°-150°-125°=85°.
If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).
Hence,
m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.
Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus
m∠AME=1/2m∠EOA=58°.
Step-by-step explanation:
this is really simple : we only need to put the given x and y coordinate values into both equations and see, if both equations remain true.
(-2, -1) means x = -2, y = -1
first equation :
-1 = 3×-2 + 5 = -6 + 5 = -1
so, -1 = -1
true.
second equation :
-2 + -1 = -3
-3 = -3
true.
therefore, (-2, -1) is a solution to the linear system.
the point is the crossing point of both lines.
