Answer:
<em>Square= 12 units</em>
<em>Triangle long sides= 19 units</em>
<em>Triamgle short side= 10 units</em>
Step-by-step explanation:
<em>It is a square, so all sides are the same. That means 3x+3 equals 4x. What number can be subsituted into x to equal 4? If x is 3, then 3x+3 would be 3(3)+3. It equals 12. 4 times 3 is also 12. It works! That also means the square's side is 12 units.</em>
<em>Square= 12 units</em>
<em />
<u><em>So, x=3</em></u>
<em />
<em>The triangle's longer sides are 7x-2. Subsitute x in, which is 3, and you get 7(3)-2. It equals 19. The two longer sides of the triangle are the same length, so both are 19 units.</em>
<em>Triangle long sides= 19 units</em>
<em />
<em>The triangles shorter side is 2x+4. Subsitute 3 in for x and you get 2(3)+4. It equals 10, so the shorter side is 10 units.</em>
<em>Triangle short side= 10 units</em>
Answer:
33 and -39
Step-by-step explanation:
Angle on a straight line = 180
|5x + 15| = 180 and |5x + 15| = -180
5x + 15 = 180
Subtract 15 from both sides;
5x = 165
Divide both sides by 5;
x = 33
5x + 15 = -180
Subtract 15 from both sides;
5x = -195
Divide both sides by 5;
x = -39
Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:
m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°
Combine like terms:
48° + 3x° = 90°
Subtract 48° from both sides:
48° - 48° + 3x° = 90° - 48°
3x = 42°
Divide both sides by 3 to solve for x:
3x/3 = 42/3
x = 14°
Plug in the value of x into the equation to fins m< 1 and m < 2:
m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°
90° = 90° (True statement)
Therefore:
m < 1 = 62°
m < 2 = 28°
Answer:
Step-by-step explanation:
What is the probability that a customer ordered
a hot drink given that he or she ordered a large?
So we are looking for the percentage of a hot drink and a Large.
Our list:
Small
Medium Large
Hot
5
48
22
8
12
5
Cold
He can tell there is 10% atleast for hot and 0% for a large
