Answer:
15
Step-by-step explanation:
first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!
- Here, both the triangles have equal sides.
- So, the two triangles are related by SSS.
- If all the sides of a triangle are equal to all the sides of another triangle, so the triangles are congruent to each other.
<u>Answer</u><u>:</u>
<u>SSS,</u><u> </u><u>congruent.</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
6 units
Step-by-step explanation:
A = lw
l = w + 2
48 = lw
48 = (w + 2)w
48 = w² + 2w
0 = w² + 2w - 48
Quadratic equation results =
w = 6 or w = -8
But the measure could not be negative, therefore w = 6
Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
Answer:
$3027.80
Explanation:
The compound interest formula is the following.

where
A = final amount
P = principle amount
r = interest rate / 100
n = number of compounds per interval
t = time interval
Now in our case,
A = unknown
P = $1900
r = 10.4/100
n = 12 months / year ( because the interest is compounded monthly)
t = 4.5 yrs
Therefore, the compound interest formula gives

Using a calculator, we evaluate the above to get

which is our answer!