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Ksivusya [100]
3 years ago
12

PLEASE HELP ASAP 40 PTS

Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Answer:

40 + 3x + 4 + 3x + 4 = 180

48+6x=180

48 - 48 + 6x = 180 -4 8

6x = 132

6x/6 = 132/6

x = 22

Step-by-step explanation:

1. since the triangle is isosceles, angles A and C will have the same measures, so to solve for x, you can add another 3x + 4 or you can multiply A by 2.

2. add like terms

3. subtract

4. divide to get x

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$3.50x less than or equal to $15
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As part of his math assignment, Santos has to estimate the height
ycow [4]

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

5 0
3 years ago
Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
What is the LCM of 4,8,14?
Tamiku [17]
The LCM of 4,8,14 is 56

M of 4 are 4,8,12,16,20,24,28,32,36,40,44,48,52,56
M of 8 are 8,16,32,48,56,64
M of 14 are 14,28,42,56


I hope this helps you
5 0
3 years ago
Two angles are supplementary. The measure of one angle is 54 more than the measure of the other angle. What is the measure of th
il63 [147K]

Answer:

bigger angle is 117°

Step-by-step explanation:

x+x+54= 180 (when two angles are complementary it means that their sum is 180 degrees)

2x+54=180

2x= 180-54

2x=128

x=126/2

x= 63

x1= smaller angle

x1= 63

x2= bigger angle

x2= 63+54

x2=117

4 0
3 years ago
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