Answer:
1) b and m
2) m∠8=m∠6
3) 160°
4)x=60°
Step-by-step explanation:
1) all straight lines sum to 180°
subtract the angles given from 180°
the other angle for b is 25°, while the other angle for m is 155°
so we can see that the angles for both lines are the same, hence they are parallel.
2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4
in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.
3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°
(2x-16)°+(7x+20)°=180°
we get x=20(nearest whole number)
∠CED=7x+20=7(20)+20=160°
4) since we need to show that they are parallel,
(2x+30)°=(4x-90)°
2x-4x=-90-30
-2x=-120
x=60
we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)
I hope u understand it the way I put it.
Answer:
(B)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
Answer:
21
Step-by-step explanation:
The area of the model is 80 square foot
Step-by-step explanation:
Let the area of the house model be 'a'
The scale = 1:50
The area of the house= 4000 square foot
Area of the model =4000/50
a = 80 square foot
The area of the model is 80 square foot
Answer: 5
Step-by-step explanation:
Since, According to the BODMAS, when we solve an expression,
We follow the following sequence,
1. Bracket/ parenthesis
2. Of
3. Division
4.Multiplication
5. Addition
6. Subtraction
Here, the given expression is,
Thus, solving the given expression by following the BODMAS,
We get,
Step 1. 
Step 2. 
Step 3. 
Step 4. 5
