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2 years ago

I serious help. a ton

Mathematics

2 answers:

kap26 [50]2 years ago

8 0

Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

$3x+6=7x-18$

Subtract 6 from both sides:

$3x+6-6=7x-18-6$

$3x=7x-24$

Subtract 7x from both sides:

$3x-7x=7x-24-7x$

$-4x=-24$

Divide both sides by -4:

$\frac{-4x}{-4}=\frac{-24}{-4}$

$x=6$

Angle $ABD=3x+6=3(6)+6=18+6=24$

Angle $CBD=7x-18=7(6)-18=42-18=24$

Angle $ABC=ABD+CBD=24+24=48$

HACTEHA [7]2 years ago

6 0

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation:

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What is the x-intercept of the function graphed below?

Sophie [7]

Answer C (-8,0)

because the line crosses the x-intercept (the horizontal line)

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3 years ago

Read 2 more answers

A pool measuring 8 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the poo

Ainat [17]

Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.

Combined Area = (2x + 26)*(2x + 8) = 1008

2x*(2x + 8) + 26*(2x + 8 ) = 1008

4x² + 16x + 52x + 208 = 1008

4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.

Multiply first and last coefficients: 1*-200 = -200

We look for two numbers that multiply to give -200, and add to give +17

Those two numbers are 25 and -8.

Check: 25*-8 = -200 25 + -8 = 17

We replace the middle term of +17x in the quadratic expression with 25x -8x

x² +17x - 200 = 0

x² + 25x - 8x - 200 = 0

x(x + 25) - 8(x + 25) = 0

(x+25)(x -8) = 0

x + 25 = 0 or x - 8 = 0

x = 0 -25 x = 0 + 8

x = -25 x = 8

The width of the path can not be negative.

The only valid solution is x = 8.

The width of the path is 8 meters.

8 0

2 years ago

Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ

MAVERICK [17]

Answer:

6 t + 4 p ≤ 150 is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants

= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p pepper plants

= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants = (6 t + 4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t + 4 p) sq ft ≤ 150 sq ft

or, 6 t + 4 p ≤ 150 is the required inequality.

5 0

3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Ne4ueva [31]

Answer:

B - 150 yd

Step-by-step explanation:

Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; a² + b² = c².

In this case, let's label the the missing side A, the height B, and the hypotenuse C.

X² + 15² = 25²

Then you must figure out what 15² and 25².

15² = 225

25² = 625

The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².

625 - 225 = 400. 

Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.

√400 = 20.

The missing length of the triangle is 20 yards.

Now it's just a matter of finding the area by using the formula;

A = $\frac{bh}{2}$

Or,

(20 × 15) ÷ 2 = 150.

And there's your answer. Don't forget to add the units.

<h2>Hope this helped.</h2>

8 0

2 years ago

The net of a solid figure is shown below:

madam [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

I serious help. a ton​

I serious help. a ton