Some people advise that in every cold weather, you should keep the gas tank of your car more than half full. Irene’s car had 5.8 gallons in the 13- gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?

[tex]\longmapsto[/tex]The value of "x" is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A trapezium ABCD in which AB || CD such that

Now,

[tex]\rm In \: \triangle \: AOB \: and \: \triangle \: COD[/tex]

[tex]\rm \: \angle \: AOB \: and \: \angle \: COD \: \: \{vertically \: opposite \: angles \}[/tex]

[tex]\rm \: \angle \:ABO \: and \: \angle \: CDO \: \: \{alternate \: interior \: angles \}[/tex]

[tex]\bf \: \triangle \: AOB \: \sim \: \triangle \: COD \: \: \: \{AA \: similarity \}[/tex]

[tex]\bf\longmapsto\:\dfrac{AO}{CO} = \dfrac{BO}{DO} [/tex]

[tex]\rm \longmapsto\:\dfrac{x - 1}{x + 1} = \dfrac{x + 1}{x + 4} [/tex]

[tex]\rm \longmapsto\:(x - 1)(x + 4) = {(x + 1)}^{2} [/tex]

[tex]\rm \longmapsto\: {x}^{2} - x + 4x - 4 = {x}^{2} + 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 4 = 1 + 2x[/tex]

[tex]\rm \longmapsto\: 3x - 2x= 1 +4[/tex]

[tex]\bf\longmapsto \:x = 5[/tex]

Answer:

C. Linearly Independent, Unique solution

Step-by-step explanation:

x=11/2

y=7/4

z=2

Answer:

13

Step-by-step explanation:

Since this is a right triangle, you can use the Pythagorean Theorem.

The side y would be the hypotenuse.

[tex]a^{2} + b^{2} = c^{2}[/tex]

Plug it in:

[tex]5^{2} + 12^{2} = y^{2}[/tex]

Isolate y:

y = [tex]\sqrt{ 5^{2} + 12^{2} }[/tex]

Solve:

y = 13

Answer:

D.

Step-by-step explanation:

It is simple. Subtract 7* from 65* to get you 58* F.

Step-by-step explanation:

You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account

As long as you believe in yourself, you can do anything.

Answer:

brruhhh

Step-by-step explanation:

Step-by-step explanation:

ajhai ans Pani chaiyo ki sabai ko ans pathau

Firstly, a key fact to keep in mind is Angles in a triangle equals 180⁰.

a. x+60⁰+30⁰=180⁰

x+90⁰=180⁰

x=180⁰-90⁰

x=90⁰

b. x+3x+40⁰=180⁰

collect like terms

4x+40⁰=180⁰

4x=180⁰-40⁰

4x=140⁰

Divide both sides by 4

x=35⁰

c. x+(x+7)+(x+5)=180⁰

3x+12=180⁰

3x=180⁰-12

3x=168⁰

x=168⁰÷3

x=56⁰

d. 52+x+y=180⁰

keeping in mind, two sides of this triangle are equal...

180⁰-52⁰=128⁰

128⁰÷2=64⁰

x=64⁰

x=64⁰ y=64⁰

e. b+a+90⁰=180⁰

right angled triangle

180⁰-90⁰=90⁰

90⁰÷2=45⁰

b=45⁰

b=45⁰ a=45⁰

f. Angles on a straight line equals 180⁰

180⁰-130⁰=50⁰

x=50⁰

Back to the triangle, in which two are equal,

50⁰+x+y=180⁰

180⁰-50⁰=110⁰

110⁰÷2=55⁰

y=55⁰

y=55⁰ z=55⁰

To be honest, I don't know how to solve the last two questions, hope I was helpful, if you wish, please mark BRAINLIEST.

Answer:

HG=7 , which would mean that HI =7 and KL = 6 so MK = 6

Answer:

HI = 7 and m ∠K = 100°

Step-by-step explanation:

In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are =  and the angles are equal.

So HI = 7

In Δ KLJ, two sides are equal.  If two sides of a triangle are equal then the angles opposite those sides are equal.

Now  you know that m ∠L = 40°.   In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°

Answer:

4 pieces

Step-by-step explanation:

To perform the calculation, it's easier for both values to have the same denominator.

2/3 yards is the same as 4/6 yards.

Now we have two values with the same denominator: 4/6 and 1/6.

(4/6) / (1/6) = 4.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given complex number is

[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 - 1 + 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]

We know,

[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 + 16} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{25} [/tex]

[tex]\rm \:  =  \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]

Answer:

The map scale is 1 : 475200

Step-by-step explanation:

Answer:

I believe the price after the markup would be $225.99, I hope this helps! :)

Answer:

Step-by-step explanation:

Increase % = 13%

[tex]New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\[/tex]

[tex]\bold{Hello~!}[/tex]

What is [tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]^5^/^4[/tex] ÷ [tex]^1^/^1^0~^?[/tex]

[tex]\sf{Divide~the~numbers:}~5[/tex] ÷ [tex]\sf{4 = 1.25[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{~1}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:}~1.25[/tex] ÷ [tex]\sf{~1}[/tex] [tex]\sf{ = 1.25}[/tex]

[tex]\sf{= 1.25}[/tex] ÷ [tex]\sf{10}[/tex]

[tex]\sf{Divide~the~numbers:~1.25[/tex] ÷ [tex]\sf{10}[/tex] [tex]\sf{= 0.125}[/tex]

[tex]\sf{ 0.125}[/tex]

Hope It Helps!

#LearnWithBrainly

[tex]\underline{Answer~:}[/tex]

[tex]\sf{Miwsow}[/tex]

Please, Follow me. and like my answers ! And, Brainliest is Appreciate !

The total number of fossils at the museum are, 25

Answer:

The remainder is zero. Then x = –4 is a solution of the given equation.

Hello haohaoxNienie!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Use the remainder theorem to determine whether x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

Refer to the attached picture.

Answer :- Yes, x = - 4 is a solution of x⁶ + 5x⁵ + 5x⁴ + 5x³ + 2x² - 10x - 8.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

A, D, E

Step-by-step explanation:

Those are your surds because when you square root them they stay in the radical

Answer:

hla shougi

Step-by-step explanation:

fence material 268 is your answer..

Answer:

Associative Property of Addition

Answer:

12x=4y........................................

Answer:

-1/10

Step-by-step explanation:

-7/24 by the reciprocal of 35/12

The reciproical of 35/12 is 12/35

-7/24 * 12/35

Rewriting

-7/35 * 12/24

-1/5 * 1/2

-1/10

Answer:

log

2

(

y

)

=

5

→

2

5

=

y

⇒

y

=

32

Step-by-step explanation:

Answer:

ms finch

Step-by-step explanation:

.

Answer:

n = 27

Step-by-step explanation:

Multiplication has the commutative property, which means it doesn't matter what way around you put the numbers e.g. 4 × 3 = 3 × 4

So 27π = 27 × π = π × 27

n is 27

2x^2 + 6x - 7 - 9x^2 + 11

(2x^2 - 9x^2) + (6x) + (-7 + 11)

-7x^2 + 6x + 4

Hope this helps!! :)

Answer:

=- 7x^2+6x+4

Step-by-step explanation:

Answer:

y = -2/3x - 2

Step-by-step explanation:

Picking two points on the line: (0,-2) & (-3,0)

Using the slope formula:

[tex]\frac{x2-x1}{y2-y1}[/tex]

= (0-(-2))/(-3-0)

= 2/-3

= -2/3

y = -2/3x + c

Subsituting (0,-2) into 'y = -2/3x+c':

-2 = 0 + c

c= -2

Hence,

y = -2/3x -2

Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest :D

Answer:

p (4;12)

Step-by-step explanation:

lp - 8l = 4

---------------

1.

p - 8 = 4

p = 12

---------------

2.

- p + 8 = 4

p = 4

--------------

P: (4,12)

Answer:

P = -6 hope it helps

Step-by-step explanation:

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation: