The length of the unknown sides of the triangles are as follows:
CD = 10√2
AC = 10√2
BC = 10
AB = 10
<h3>Triangle ACD</h3>
ΔACD is a right angle triangle. Therefore, Pythagoras theorem can be used to find the sides of the triangle.
where
c = hypotenuse side = AD = 20
a and b are the other 2 legs
lets use trigonometric ratio to find CD,
cos 45 = adjacent / hypotenuse
cos 45 = CD / 20
CD = 1 / √2 × 20
CD = 20 / √2 = 20√2 / 2 = 10√2
20² - (10√2)² = AC²
400 - 100(2) = AC²
AC² = 200
AC = √200 = 10√2
<h3>
Triangle ABC</h3>
ΔABC is a right angle triangle too. Therefore,
Using trigonometric ratio,
cos 45 = BC / 10√2
BC = 10√2 × cos 45
BC = 10√2 × 1 / √2
BC = 10√2 / √2 = 10
(10√2)² - 10² = AB²
200 - 100 = AB²
AB² = 100
AB = 10
learn more on triangles here: brainly.com/question/24304623?referrer=searchResults
Answer:
Cost to paint 4 walls of a room = $24.20
Cost of painting 3 walls of a room =$18.15
Step-by-step explanation:
(a) Abby purchased 4 2/5 gallons of paint to paint 4 walls of a room in her house.
1 gallon cost = 5.50
So 22/5 gallons cost = 
Cost to paint 4 walls of a room = $24.20
(b)cost of painting 4 walls of a room = $24.20
cost of painting 1 wall of a room = 
Cost of painting 3 walls of a room = 6.05 * 3= $18.15
Answer:
D
Step-by-step explanation:
Given
9 - 7x = (4x - 3)² + 5 ← expand the squared factor
9 - 7x = 16x² - 24x + 9 + 5, that is
9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )
0 = 16x² - 17x + 5, that is
16x² - 17x + 5 = 0 ← in standard form → D
Easey peasy
oposite angle is equal
other angles are supplementary (supplementary means add to 180, and a straight line=180 so if you look at 2 lines intersecting and think for a little bit, you wiill see why)
oposite angle=30
other angle is adds to 180
30+other=180
subtract 30
other=150
other is oposite other other
other=other other
150=other other
angles are
150,30,150
Answer:
x = 3
Step-by-step explanation:
x + 3 = 4x - 6
add 6 to both sides
x + 9 = 4x
subtract x from both sides
9 = 3x
divide 3 from both sides
x = 3
