Answer:
a.
b.
Step-by-step explanation:
a. The sides of an Equilateral triangle are all equal.
Then, in this case:
Based on this, you can identify that AD divides the side BC into two equal parts and the triangle into two equal Right triangles. Then:
Knowing the length CD, you can find "x" using the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case:
Substituting values and solving for "x", you get:
b. By definition, the measure of each interior angle of an Equilateral triangle is 60 degrees. Therefore:
5+x=-9
Use the subtractive property of equality to isolate x.
5+x=-9
-5 -5
x=-14
The value that satisfies x is -14. You can check your work by substituting x as -14 and checking if the equation is satisfied.
5+x=-9
x=-14
5+(-14)=-9
5-14=-9
-9=-9
the answer is correct. Succinctly, x=-14.
1). 7 x 10^6 - 5.3 x 10^6 = 7.0-5.3 (×10^6)
= 1.7 × 10^6
2). 3.4 x 10^4 + 7.1 x 10^5 = 3.4+71 (×10^4)
= 74.4 × 10^4 = 7.44 × 10^5
Another way to write 13:9 include:
26:18 (x2 to both)
39:27 (x3 to both)
hope this helps