All categories

3 years ago

7. A city lot is twice as long as it is wide, If its perimeter is 480 units, what are the dimensions of the lot?

Mathematics

1 answer:

g100num [7]3 years ago

3 0

Answer:

Step-by-step explanation:

P = 480

P = 2 length + 2 width

but we also know that

2width = length

so plug that into the length

P = 2(2width) + 2 width

480 = 4 width + 2 width

480 = 6 width

80 = width

160= length

see?

You might be interested in

Congruent triangles & proofs need answers to all the ones i got wrong. thank u!

notka56 [123]

Answer:

Step-by-step explanation:

13. Since, it is given that we have to prove ΔGDH≅ΔFEH by HL rule, thus From ΔGDH, ∠GDH=90° and GH is the hypotenuse and from ΔFEH, ∠HEF=90° and HF is the hypotenuse, thus in ΔGDH and ΔFEH,

∠GDH≅∠HEF=90°

GH≅FH,

Thus by HL the given triangles are congruent.

Option A is correct.

14. From the figure, it can be seen that both triangles have a right angle congruent and hypotenuse congruent, thus by HL rule, triangle scan be prove congruent.

Option A is correct.

15. It is given that BI is parallel to RD, thus using the alternate interior angle property, ∠B≅∠R.

Option C is correct.

16. It is given that BI is parallel to RD, and ∠BSI and ∠RSD form the vertically opposite angles, thus ∠BSI≅∠RSD by vertical angles are congruent.

Option A is correct.

17. Since Δ ABC is an isosceles triangle, thus two sides of the triangle are equal, therefore ∠A=∠B=3x+5, using the angle sum property in ΔABC, we have

3x+5+2x+3x+5=180°

⇒8x+10=180

⇒8x=170

⇒x=21.25

Thus, ∠B=3x+5=3(21.25)+5=63.75+5=68.75°

18. From ΔJKL and ΔDEF, we have

∠K=∠E (given)

∠L=∠F(given)

JL=DF

Thus, By AAS rule ΔJKL ≅ ΔDEF

As corresponding angles and corresponding sides are equal in these two triangles as compared to the other triangles.

8 0

2 years ago

Express the product of 2xsquared+6x-8 and x+3 in standard form

postnew [5]

Answer:

2x^3+12x^2+10x-24

Step-by-step explanation:

(2x^2+6x-8)(x+3)

2x^3+6x^2-8x+6x^2+18x-24

2x^3+6x^2+6x^2-8x+18x-24

2x^3+12x^2+10x-24

4 0

3 years ago

one side of rectangle is 3 inches shorter than the other side, the perimeter is 54 inches. what are the dimensions of the rectan

dimaraw [331]

Answer:

2x + 2(x - 3) = 54

Please mark as brainliest

5 0

3 years ago

Read 2 more answers

1/(x+4)(x-2)(x-5) excluded values

UNO [17]

Answer:

see explanation

Step-by-step explanation:

The excluded values are any values of x that make the function undefined

Given

$\frac{1}{(x+4)(x-2)(x-5)}$

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.

(x + 4)(x - 2)(x - 5) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x - 5 = 0 ⇒ x = 5

x = - 4, x = 2, x = 5 are the excluded values

4 0

2 years ago

Is 8/12 greater than 10/15?<br><br> and how do you know?

valentina_108 [34]

Answer:

no, they are equal. we know this because when reducing both they are equal.

Step-by-step explanation:

first find the least common denominator

that's 3

reduce fractions until the denominator is both 3

we get 2/3 and 2/3. the proportions are equal.

8 0

2 years ago

Read 2 more answers