Answer:
m<HJK = 40°
Step-by-step explanation:
Given:
m<HJK = 3x - 2
m<KJL = 50°
Required:
m<HJK
Solution:
m<HJK + m<KJL = 90° (complementary angle)
Substitute
3x - 2 + 50 = 90
Add like terms
3x + 48 = 90
3x + 48 - 48 = 90 - 48
3x = 42
3x/3 = 42/3
x = 14
✅m<HJK = 3x - 2
Plug in the value of x
m<HJK = 3(14) - 2 = 42 - 2
m<HJK = 40°
Answer:
let height of ||g be 'b', then base of ||g be 3b.
area of ||g=base×height
75cm
2
=3b×b
b
2
=25
b=5cm, therefore height =5cm
Your answer is 739,940,6000
Step-by-step explanation:
Given : A triangle with side lengths 
To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?
Solution :
For right triangle the Pythagorean theorem is to be satisfied.
i.e. 
Here,
Substitute the values,
LHS=RHS
It is a right triangle.
Answer:
- bonds: $18,000
- stocks: $6,000
Step-by-step explanation:
You have a total of $24,000 invested in stocks and bonds in the ratio 1 : 3. You want to know the amount invested in each category.
<h3>Ratio</h3>
Recognizing that the total number of ratio units is 1+3 = 4, and that total represents $24,000, we see that each ratio unit represents $24,000/4 = $6,000.
Multiplying the ratio by $6,000, we see the investment amounts are ...
stocks : bonds = 1 : 3 = $6,000 : $18,000
$6,000 is invested in stocks; $18,000 is invested in bonds.
