Answer:
The length of DF must be between 21 and 53.
Step-by-step explanation:
In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.
EF + DF > DE
16 + DF > 37
DF > 21
Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.
DE + EF > DF
37 + 16 > DF
53 > DF
With these two in mind, we know that DF must be between 21 and 53
Answer:
$25.96
Step-by-step explanation:
First, you turn the percent into a decimal, which gives you .18. Then, you multiply $22 by .18. Finally, you add the $3.96 that you get by multiplying $22 by .18, and you get the answer that is above. Plz mark brainliest if correct.
Solution:
<u>Note that:</u>
- AB = EF
- BC = EG = 6x - 8
- 7x - 19 = 2x + 11
- Perimeter of triangle: 24 + 2x + 11 + 6x - 8
<u>Solving for x:</u>
- 7x - 19 = 2x + 11
- => 7x - 2x = 19 + 11
- => 5x = 30
- => x = 30/5 = 6
<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>
- 24 + 2x + 11 + 6x - 8
- => 24 + 2(6) + 11 + 6(6) - 8
- => 24 + 12 + 11 + 36 - 8
- => 24 + 12 + 3 + 36
- => 75 units
The perimeter of the triangle ABC is 75 units.
Answer:
Step-by-step explanation:
14/15 - 1/3
= 6/10
In simplest form
= 3/5
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
