Answer:
∠CDF= 70°
Step-by-step explanation:
there's an easier way to do this which is adding the angles ∠EDG and ∠GDF and then subtracting that from 180° but, checking your work in the same process is a little more work.
First, I'd like to find ∠ADB.
- 85°+70°= 155°
- 180°-155°= 25°
- ∠ADB= 25°
Second, add all the angles together.
- 70°+50°+60°+85°+25°= 290°
- 360°-290°= 70°
18(3+14) x 6(21+4) is an example I just came up with you distribute the 18 to the 3 and the 4. And distribute the 6 to 21 and 4.
Answer:
102cm²
Step-by-step explanation:
Surface Area = BH +Lp
B is the base area
H is the height of the Prism
L is the slant height
p is t perimeter of its base
B =1/2 ×3×4
B= 6cm²
H = 7cm
L = 5cm
P = 3cm+4cm+5cm
P = 12cm
Substitute
TSA = 6(7)+5(12)
TSA = 42+60
TSA = 102cm²
Hence the total surface area of the shape is 102cm²
Answer:
(6,6)
Step-by-step explanation:
Hope this helps!
Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
