Answer:
b
Step-by-step explanation:
∠ BAD = 90° and
∠ DAC + ∠ CAB = ∠ BAD, that is
x + 2x - 30 = 90
3x - 30 = 90 ( add 30 to both sides )
3x = 120 ( divide both sides by 3 )
x = 40 → b
The angles of ∠EFG and ∠GFH are 71° and 109°
<h3>What are linear pair angles?</h3>
Linear pair of angles are formed when two lines intersect each other at a single point.
In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Linear pair angles are supplementary. This means the sum of a linear pair angles is 180 degrees.
Therefore,
∠EFG + ∠GFH = 180
Therefore,
∠EFG = 4n + 15
∠GFH = 5n + 39
hence,
4n + 15 + 5n + 39 = 180
9n + 54 = 180
9n = 180 - 54
9n = 126
n = 126 / 9
n = 14
Hence,
∠EFG = 4n + 15 = 4(14) + 15 = 71°
∠GFH = 5n + 39 = 5(14) + 39 = 109°
learn more on linear pair angles here: brainly.com/question/28264317
#SPJ1
The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
Answer:
Your correct answer is option C. -2 (9 + 32n)
Step-by-step explanation:
Solution:
Options are not given in the question
Given First degree expression:
-18-64n
= (-2)×9 + (-2)×32n
Take (-2) common, we get
= (-2)( 9+32n)
Therefore you get your answer of option C. -2(9+32n)
Answer:7ft
Step-by-step explanation:
i got it right
