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Zinaida [17]
3 years ago
7

Proportions in triangles. Solve for X

Mathematics
1 answer:
Irina-Kira [14]3 years ago
5 0
X/2x+5=x-2/2x-1
X(2x-1)=(2x+5)(x-2)
2x²-x=2x²-4x+5x-10
-x+4x-5x=-10
-2x=-10
X=5



Then x=5
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Find the measure of ZB.
RoseWind [281]

The sum of the inside angles of a triangle, always sum up to 180 degrees. Using this information, we can create the following equation for this problem:

(3x-2)\text{ +(6}x\text{+11)+(5}x\text{ +3) = 180}

Adding up all terms with 'x' and adding the other together, we have the following equation:

\begin{gathered} (3x+6x+5x)+(11+3-2)=180_{} \\ 14x+12=180 \\ 14x=180-12=168 \end{gathered}

Solving this last equation for 'x', we have the following:

\begin{gathered} 14x=168 \\ x=\frac{168}{14}=12 \end{gathered}

Then, the final answer for the 'x' value is twelve!

6 0
1 year ago
Find the length of the third side to the nearest tenth.<br> 5<br> 1
adelina 88 [10]

Answer:

square root of 26 (sorry couldn't get the symbol)

Step-by-step explanation:

C^2 = A^2 + B^2 (Pythagoras Theorem)

C^2 = 5^2 + 1^2

C^2 = 26

take square root of both sides

C =

\sqrt{26}

3 0
3 years ago
Which of the following equations matches the graph above?
Brilliant_brown [7]

Option C:

The equation which matches the graph above is y = 4x - 4.

Solution:

Take any two points on the graph of the line.

Let the points are (0, -4) and (1, 0).

Here, x_1=0, y_1=-4, x_2=1, y_2=0

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{0-(-4)}{1-0}

$m=\frac{4}{1}

m = 4

y-intercept of the line is the point where the line crosses at y-axis.

Here, the line crosses at y-axis is (0, -4).

y-intercept, (c) = -4

Equation of a line is

y = mx + c

y = 4x + (-4)

y = 4x - 4

The equation which matches the graph above is y = 4x - 4.

Option C is the correct answer.

3 0
3 years ago
1. f(x) = x^3– 4x^2 – 7x + 10
True [87]

9514 1404 393

Answer:

  zeros: {-2, 1, 5}

Step-by-step explanation:

A graphing calculator works nicely for identifying turning points, roots, increasing/decreasing intervals, and more.

8 0
3 years ago
What is 70/6 times 18/4 in simplest form
Alenkasestr [34]
70/6 × 18/4


70 * 18/6*4. cross out 18 and 6.

= 70*3/4

= 35 * 2 * 3/ 2*2

= 35*3/2

= 105/2

= 52.5 

OR

52 1/2.
6 0
3 years ago
Read 2 more answers
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