Answer:
y=70°
z= 60°
w= 70°
Step-by-step explanation:
Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.
180°-50°-60°=70°.
The same way we found Z, we can also find Y, since it has to be the same as W.
Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Answer:
Standard form for straight line
y = m x + b
If x = 0 then y = b = 3
y = m x + 3
Since m is the slope the requested equation is y = x + 3
The length of BC is 53 units long
Step 1. You must write down/ underline all the numbers given in the problem.
Step2. Identify all the unknown variable such as x, y, a, b [those are the most common ones].
Step 3 Identify what sign of operation your working with... It can be +,-,×,÷.
Step 3 write down all your terms on the LHS of the equation.
Step 4. Equate all the constant on the RHS of the equation. If the constant was negative It would be positive and vic versa
Step. Solve your problem
