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2 years ago

How do you prove this?

Mathematics

1 answer:

frozen [14]2 years ago

3 0

Answer:

Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.

Step-by-step explanation:

Informally, subtract DE from CE and DF. This will show CD ≅ EF.

Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.

Corresponding parts of congruent triangles are congruent, namely the angles C and F.

Since base angles of ΔACF are congruent, it is isosceles.

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The previous balance of Sam's saving account was $1345.67. He makes thevfollowing transactions: deposits, $228.48, $74.36; withd

mylen [45]

Answer:

Step-by-step explanation:

2192

3 0

2 years ago

Dorian is spreading mulch on his triangular flowerbed. If the base is 8 feet and the height is 6 feet. How many square feet of m

katovenus [111]

Answer:

24 square feet

Step-by-step explanation:

Given:

Dorian is spreading mulch on his triangular flowerbed.

The base is 8 feet.

The height is 6 feet.

Question asked:

How many square feet of mulch will he need for the flowerbed?

Solution:

The base of triangular flowerbed = 8 feet.

The height of triangular flowerbed = 6 feet.

now, to find how many square feet of mulch he will need for the flowerbed, we will find area of the triangular flowerbed:-

As we know:

$Area\ of\ triangle=\frac{1}{2} \times base\times height$

$=\frac{1}{2} \times8\times6\\\\ =\frac{48}{2} \\ \\ =24\ square\ feet$

Thus, 24 square feet of mulch he will need for the flowerbed.

8 0

3 years ago

what is the approximate height of the rice container if the radius is 2.5 in. and the volume is 235.5 in cubed

Dmitrij [34]

Answer:

12 in

Step-by-step explanation:

r = 2.5 in

V = 235.5 in³

Find h

Use V = πr²h

so 235.5 = 3.14 * 2.5² * h

235.5 = 19.625 h

h = 235.5/19.625 = 12 in

4 0

2 years ago

M is directly proportional to r2.when r=2,m=14.Work out the value of r when m =224

DENIUS [597]

Answer:

$r=8$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

In this problem

Let

$y=m$

$x=r^{2}$

substitute

$m=kr^{2}$

<u>Find the value of k</u>

For $r=2, m=14$

$14=k(2^{2})$

$14=4k$

$k=14/4$ ----> constant of proportionality

the equation is equal to

$m=(14/4)r^{2}$

Find the value of r when m=224

substitute in the equation and solve for r

$224=(14/4)r^{2}$

$r^{2}=224*4/14$

$r^{2}=64$

$r=8$

6 0

2 years ago

A rectangular field with an area of 5000m^2 is enclosed by 300m of fencing. Find the dimensions of the field? How?

garri49 [273]

Area of field=xy=5000
perimeter of field=2(x+y)300
x+y=150
x=150-y
y(150-y)=5000
$y^2-150y+5000=0$
solve it
u get y= 50 or 100
then x=100 or 50
therefore the dimensions are 100m and 50m

6 0

3 years ago