Side CB is the same as AD.
Side AB is the same as CD.
<CAD is 15 degrees
<ACD is 24 degrees
now use a^2 +b^2=c^2 to find the last angle
x = - 1
given 
= x + 3
square both sides
1 - 3x = (x + 3 )² ( expand right side using FOIL )
1 - 3x = x² + 6x + 9 ( subtract 1 - 3x from both sides )
0 = x² + 9x + 8
0 = ( x + 1)(x + 8)
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = -1
x + 8 = 0 ⇒ x = - 8
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = - 1 : 
= 2 and - 1 + 3 = 2 ← true
x = - 8 : 
= 5 and - 8 + 3 = -5 ← false
thus the only solution is x = - 1
Answer:
1 is B
2 is B
3 is D
4 is C
Step-by-step explanation:
Dont care enough to explain all of them
Answer:
42 Democrats members
12 Republicans members
2 other parties members
Step-by-step explanation:
We know that there are a total number of voters of
- 75 (democrats)+17 (Republicans)+ 4( Other parties)= 96 voters
And we know that the bill has passed with 16 nore votes in favor that against, so let's calculate how many votes in favor of the bill we have:
- 96 Votes = F (votes in Favor)+ A (votes against)
also: F= A+16= A = F-16, so:
- 96= F+A= F+F-16 => F= 56 votes in favor of the bill
Thos 56 votes are the sum of the votes in favor from all the parties:
56 = D (votes in favor of democrats)+R ((votes in favor of Republicans)+OTH (votes in favor of other parties)
=> 56= D+R+OTH (A)
also democrat's votes in favor are three times the sum of non-democrat's votes in favor:
- D= 3*( R+OTH) => OTH= D/3-R
and we have 30 more democrats thar republicans voting in favor:
if we replace in the (A) formula:
56 = D+R+OTH => 56= D+D-30+D/3-D+30 =>
- 56=4/3*D => D=42 (DEMOCRATS VOTES IN FAVOR)
- R= D-30 => R= 12 (REPUBLICAN VOTES IN FAVOR)
- OTH= D/3-R= 14-12= 2 (OTHER PARTIE'S VOTES IN FAVOR)
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
<h3>What is a
triangle?</h3>
A triangle is a polygon that has three sides and three angles. Types of triangles are<em> isosceles, equilateral </em>and<em> scalene</em> triangle.
An equilateral triangle is a triangle that have three equal sides while isosceles triangle have two equal sides.
The properties that equilateral triangles and isosceles triangles have in common is that they have two equal sides.
Find out more on triangle at: brainly.com/question/17335144
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