All categories

3 years ago

Need help with math equation 20 points and brainlest

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

x = 28°, ∠ABC = 57°

Step-by-step explanation:

∠ABD = 2x+1

∠BCD = 33°

∠ABD = 90° (right angle)

which means that

∠ABC + <CBD = 90° (In the middle of ∠ABD)

Then, we can substitute to the equation to find x

(2x+1) + 33° = 90°

(2x+1) = 57°

2x = 56°

x = 28°

after finding x, we can find ∠ABC:

∠ABC = 2(28) + 1 = 57°

I hope this helps, have a great day! :)

You might be interested in

Graph the equation. y = 2 sqrt. x

777dan777 [17]

A graphing calculator or spreadsheet program can do this for you. Below is a plot from the Desmos on-line graphing calculator.

3 0

3 years ago

The Length of a rectangle exceeds its breadth by 9 cm. if length and breadth are each increased by 3 cm, the area of new rectang

gizmo_the_mogwai [7]

Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

= x * (x + 9)

= x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² + 9x

Use FOIL method

x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x

x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}

x² + 15x + 36 = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

6x - 48 = 0

6x = 48

x = 48/6

x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

7 0

4 years ago

What is the equation of a line that passes through the points (-3, 4) and (2,8)?

ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

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

Substituting the points (-3,4) and (2,8) in the above formula, we get;

$m=\frac{8-4}{2+3}$

$m=\frac{4}{5}$

Thus, the slope of the line is $m=\frac{4}{5}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (-3,4) and $m=\frac{4}{5}$ in the above formula, we have;

$y-4=\frac{4}{5}(x+3)$

$y-4=\frac{4}{5}x+\frac{12}{5}$

$y=\frac{4}{5}x+\frac{12}{5}+4$

$y=\frac{4}{5}x+\frac{32}{5}$

Thus, the equation of the line is $y=\frac{4}{5}x+\frac{32}{5}$

6 0

3 years ago

Please help please

jarptica [38.1K]

Answer:

1.) supplementary m<1+m<2=180 and m<2+m<3=180

2.) congruent, supplementary

Step-by-step explanation:

the answers are in this order above

5 0

4 years ago

What is 6/87 of 45638???????

lapo4ka [179]

Answer:

3,147.44828

Step-by-step explanation:

$\frac{6}{87} \: of \: 45638 \\ \\ = \frac{6}{87} \times 45638 \\ \\ = 6 \times 524.574713 \\ \\ = 3,147.44828$

5 0

3 years ago