The exterior angle of a triangle is equal to the sum of the other 2 oposite interior angles
therfor
95=4x-8+3x-18
95=7x-24
add 24 both sides
119=7x
divide both sides by 7
17=x
sub back
4x-8
4(17)-8
68-8
60=∠F
3x-16
3(17)-16
51-16
35=∠G
We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1 ( it is not possible )Answer: A ) No triangles can be formed.
Hi there!
For the Pythagorean Theorem, basically you just need to apply this formula: a^2 + b^2 = c^2
And then find the root of the hypotenuse.
For example,
15^2 + 8^2 = the hypotenuse^2
Which equals, 225 + 64 = 289
Square root of 289 = 17
Please mark me brainliest if this helps!
Have a wonderful day!
Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
step 1
Find the measure of length side FG
In the right triangle EFG
we know that
----> by SOH (opposite side divided by the hypotenuse)
substitute the given values
step 2
Find the measure of length side EF
In the right triangle EFG
we know that
----> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
step 3
Find the measure of angle G
we know that
---> by complementary angles in a right triangle
Answer:
$32 + $0.25x < $50
Step-by-step explanation:
1.he buy a backpack for $32
2. he buys x amount of pencils. Each pencil cost 0.25. ($0.25x)
3. all of that is less than(<) $50
