Answer:
Isosceles triangle:
* two sides are equal.
* the base angle are always equal and
* the altitude is a perpendicular distance from the vertex to the base.
Since, the triangle ABC is an isosceles and AC is the base
⇒ AB=BC and 
Also, AD is the angle bisector of 
, which implies that it cuts the angle at A in two equal halves,
let 
, then the bisectors cuts it in 
.
As per the given information, we know 
is 110°, therefore, the line BDC forms a supplementary angle;
⇒
As shown in picture given below:
By sum of all interior angles in a triangle is 180 degree, thus
or
Simplify:
Therefore, the 
.
Now, to find the angle B, we have;
[Sum of the measure of the angles in a triangle is 180 degree]
or
or
Simplify:
.
1. Original Equation
2. Subtract 6u from both sides
3. Combining 16u-6u you get 10u
4. Subtract 4 from both sides
5. Combining -21-4=4
6. Dividing by 10
7. The total of -25/10=-2.5
Answer:
16 dollars
Step-by-step explanation:
she already owns 2 necklaces
18-2=16
1 necklace =1 dollar
16x1=16
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41 (1)
5.83x + 1.07y = 2.37 (2)
We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42 to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487 (3)
5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454 (4)
Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009
From (2), obtain
1.07y = 2.37 - 5.83x
= 2.37 - 5.83*0.4009
= 0.0328
y = 0.0307
Answer:
x = 0.4009
y = 0.0307
Answer:
117
Step-by-step explanation:
6/8 = ?/156
156/8 = 19.5
19.5 x 6 = 117
6/8 = 117/156
