2(4x-3)-7(x+1) first distribute
8x-6-7x+7 then combine the x's
<u>x+13 </u>
Answer:
x = 38, y = 4
Step-by-step explanation:
Since AB = BC then the triangle is isosceles and the base angles are congruent, that is
∠ DAB = ∠ DCB = 52°
Subtract the sum of the base angle from 180° for ∠ ABC
∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°
Note that ∠ ABD = ∠ CBD, thus
x = 76 ÷ 2 = 38
BD bisects the side AC, thus DC = AD = 4
Thus y = 4
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>att</em><em>ached</em><em> </em><em>picture</em>
<em>hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em>
4. because it is reduced and the simplest to understand
Just look at the top triangles
Angles in a triangle add up to 180°
To find the angle next to 36°:
It shows that all together its a 90° angle so you do 90-36= 54°
To find the angle next to 88°:
Angles on a straight line add up to 180° so you do 180-88= 92°
You now have the 2 of the angles in the triangle with angle 1
You now add these 2 angles so 54+92= 146°
and as angles in a triangle add up to 180° you do 180-146= 34°
So angle 1 is 34°
