<ABC would equal 106
seeing in triangle ABD angle A equals 67 you would multiply that by 2 and then subtract it from 180 to get 46, and then triangle DBC all the angles would equal 60. so then add 46 to 60 to get 106 the measure of <ABC
Answer:
k = -9.
Step-by-step explanation:
As the triangle is right-angled at Q, by Pythagoras:
PR^2 = PQ^2 + RQ^2
So, substituting the given data and using the distance formula between 2 points:
(7 - 1)^2 + (k - 4)^2 = (-4-4)^2 + (-3-1)^2 + (7 - (-3))^2 + (k - (-4))^2
36 + (k - 4)^2 = 64 + 16 + 100 + ( k + 4)^2
(k - 4)^2 - (k + 4)^2 = 180 - 36
k^2 - 8k + 16 - (k^2 + 8k + 16) = 144
-16k = 144
k = -9.
Answer:

Step-by-step explanation:
Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6, opposite = 0.8


Answer:
x = 3
Step-by-step explanation:
Given:
- The volume of the triangular prism : 54 cubic units
- The base length: 4 unit
- The height of the base: x
- The height of the prism : 3x
As we know that, the formula used to find out the volume of a triangular prism is:
V = 1/2 * The base length * The height of the base * The height of the prism
<=> V = 1/2*4*x*3x
In this question we have V = 54 cubic units
<=> 1/2*4*x*3x = 54
<=>
= 9
<=> x = 3