All categories

3 years ago

Is there enough information to prove that the triangles are congruent?

Mathematics

2 answers:

dalvyx [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Given:

AB = CD
AD = BC
AC = AC

Three congruent sides, two given and one shared

Side-side-side postulate SSS

m_a_m_a [10]3 years ago

3 0

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

You might be interested in

The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 305°.

Usimov [2.4K]

The length of the arc is 31.92 units

Explanation:

Given that the sector of a circle of radius 6 units.

The angle is given by $\theta=305^{\circ}$

Arc length of the circle:

The arc length of the circle can be determined using the formula,

$\ {arc\ length}=2 \pi r\left(\frac{\theta}{360}\right)$

where r = 6 and $\theta=305^{\circ}$

Substituting the values, we have,

$\ {arc\ length}=2 \pi (6)\left(\frac{305}{360}\right)$

Multiplying the numerator, we have,

$\ {arc\ length}=\frac{3660 \pi}{360}$

Substituting $\pi=3.14$ , we have,

$\ {arc\ length}=\frac{3660(3.14)}{360}$

Multiplying the terms, we get,

$\ {arc\ length}=\frac{11492.4}{360}$

Dividing, we get,

$\ {arc\ length}=31.92 \ units$

Thus, the arc length of the circle is 31.92 units

8 0

3 years ago

What ratio is equivalent to 2:9

Lorico [155]

Answer:

8:36

Step-by-step explanation:

Factors: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36

GCF: 4

8 ÷ 4 = 2 36 ÷ 4 = 9

6 0

3 years ago

Given the functions f (x)=\x] and g(x)= 2 x + 31 – 4 a. Determine the

Arisa [49]

Functions can be transformed through translation, dilation, etc.

The changes are horizontal translations and vertical compression.
The domain of f(x) is $(-\infty,\infty)$ , while its range is $(0,\infty)$
The domain of g(x) is $(-\infty,\infty)$ , while its range is $(-4,\infty)$

We have:

$f(x) = |x|$

$g(x) = 2|x - 3| - 4$

(a) The changes from f(x) to g(x)

First, f(x) was translated to the left by 3 units.

The rule is:

$(x,y) \to (x-3.y)$

So, we have:

$f'(x) = |x - 3|$

Next, the function is compressed vertically by 2

The rule is:

$(x,y) \to (x,2y)$

So, we have:

$f"(x) = 2|x - 3|$

Lastly, the function is translated down by 4 units.

The rule is:

$(x,y) \to (x, y - 4)$

So, we have:

$g(x) = 2|x - 3| - 4$

Hence, the changes are horizontal translations and vertical compression.

(b) Analyze f(x) and g(x)

f(x)

It spans across the x-axis; so, its domain is $(-\infty,\infty)$

The y values start from 0 and opens upward; so, its range is $(0,\infty)$

It crosses the x and y axes at 0; so its intercepts are 0.

g(x)

It spans across the x-axis; so, its domain is $(-\infty,\infty)$

The y values start from -4 and opens upward; so, its range is $(-4,\infty)$

It crosses the x-axis at -1 and -5; so its y-intercepts are -1 and -5

It crosses the y-axis at 2; so its x-intercept is 2

Read more about function transformation at:

brainly.com/question/13810353

4 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!

Alenkasestr [34]

Answer:

y=-2x-3 B

Step-by-step explanation:

reflected reverses the sign of the slope but with respect to the y-axis, the y-intercept stays the same sign and number

8 0

3 years ago

Read 2 more answers

A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen

kotegsom [21]

The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:
$P(plain\ pencil\ and\ color\ pencil)=\frac{5}{10}\times\frac{3}{10}=\frac{3}{20}$
The answer is 3/20 or 0.15.

8 0

4 years ago