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3 years ago

Which is the following represents the general term for the sequence 1,3,5,7,9

Mathematics

1 answer:

irinina [24]3 years ago

6 0

N+2 is the answer because you add 2 to the previous term to get the next one.

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A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these

Evgen [1.6K]

Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is $\frac{1}{9}$

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

$z^{2}=\frac{x}{y}$

substitute the values

$z^{2}=\frac{20}{180}$

simplify

$z^{2}=\frac{1}{9}$

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

$z=\frac{1}{3}$ ------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

7 0

3 years ago

3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB<br>

xxMikexx [17]

Answer:

The two column proof is presented as follows;

The given parameters are;

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$

Statement ${}$ Reason

$\overline {AD}$ = $\overline {DC}$ and $\overline {AB}$ = $\overline {BC}$ ${}$ Given

$\overline {BD}$ ≅ $\overline {BD}$ ${}$ Reflexive property

$\overline {BD}$ = $\overline {BD}$ ${}$ By the definition of congruency

ΔADB ≅ ΔCDB ${}$ By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB ${}$ By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

7 0

3 years ago

89 (54x − 36) + 2 = −3/4 (−40 + 16x) + 90xsolve for x

Amiraneli [1.4K]

Hey! Just in case you have to show your work.

89(54x-36)+2=-3/4(-40+16x)+90x

4806x-3204+2=-3/4×4(-10+4x)+90x

4806x-3202=30-12x+90x

4806x-78x=30+3202

4728x=3232

3232÷4728=

X=404/591

4 0

3 years ago

find the area of a circle that has a diameter of 11inches approximate as 13.4 round your answer to the hundreth

Vinil7 [7]

To find the area of a circle you do pi (3.14) multiplied by the radius squared.

The radius is half of the diameter: 11 / 2 = 5.5in

The radius squared is 5.5^2 = 30.25

Then take the squared radius and multiply that by pi 30.25 * 3.14 = 94.985

So the area of the circle is about 94. 99 in.

Hope this helped! Mark as Brainliest please! :)))

3 0

3 years ago

Read 2 more answers

Dakota's wading pool has a volume of 8,640 cubic inches. Which could be the dimensions of the wading pool? Mark all that apply.

kondor19780726 [428]

The answers are: A and B

5 0

3 years ago