Answer:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
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:
Length = 13
Width = 7
Step-by-step explanation:
Given:
length = 2(width) - 1
Area of a Rectangle = lω = 91 cm²
Calculation:
Area of a Rectangle = lω = 91 cm²
(2ω-1)ω = 91
= 2ω²- ω - 91 = 0
=(2ω+13)(ω-7)=0
ω = -6.5 ω=7
length = 2(width) - 1
l=2(7) - 1
l = 13
Answer:
its 75 obviously
Step-by-step explanation:
corresponding angles
angles in a straight line
give me the brainiest
180-105=75
angles in a straight line add upto 180
corresponding angles are equal
Answer:
60,000
Step-by-step explanation:
you get your 6 and see if the 2 is over 5 if not keep 6 and the others are 0
