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ArbitrLikvidat [17]

3 years ago

10

Ana age is 8 years less than 4 times her sister's age .Write an expression for Ana's age.How old is Ana if her sister is 5 years

old ?

1 answer:

Ludmilka [50]3 years ago

8 0

Answer: 4x - 8 ; 12 yrs old

<u>Step-by-step explanation:</u>

sister: x

Ana: 4x - 8

when x = 5, Ana = 4(5) - 8

= 20 - 8

= 12

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Lines a and b are parallel.

VashaNatasha [74]

I have added a screenshot with the complete question along with a diagram representing the scenario.

<u><em>Answer:</em></u>
s = 22°

<u><em>Explanation:</em></u>
<u>1- getting the top right angle of line B:</u>
We are given that:
the top right angle of line A = 158°
Since lines A and B are parallel, therefore, the top right angle of line A and the top right angle of line B are corresponding angles which means that they are equal
This means that:
<u>Top right angle of line B = 158°</u>

<u>2- getting the value of s:</u>
Now, taking a look at line B, we can note that:
angle s and the top right angle form a straight angle. This means that the sum of these two angles is 180°
Therefore:
180 = s + 158
s = 180 - 158
<u>s = 22°</u>

Hope this helps :)

8 0

3 years ago

The thing is in the picture

vitfil [10]

The answer should be C 20

6 0

2 years ago

When water is released from the Kinzua Dam it is released gradually. The water level in Kinzua reservoir changes at an average r

Oliga [24]

Answer:

Option D

- 1916 inches

Step-by-step explanation:

To easily solve this problem, we apply a rule of three

-916 inch ---------------------------------- 3 hours

x inch ---------------------------------- 8 hour

x = 916 inc * (8 hours / 3 hours)

x = 2442.66 inch

The nearest number for this value is option D

(Lets remember we are talking about average values)

3 0

3 years ago

Which theorem or postulate proves that △ABC and △DEF are similar?

yan [13]

Answer:

△ABC and △DEF are similar by SAS Similarity Theorem.

Option (C) is correct .

Step-by-step explanation:

Definition of SAS Similarity property

Two triangles are said to be similar by SAS Similarity property If two sides are proportional and one corresponding angle congruent .

In △ABC and △DEF

$\frac{ED}{AB}= \frac{7}{21}$

$\frac{ED}{AB}= \frac{1}{3}$

and

$\frac{EF}{BC}= \frac{11}{33}$

$\frac{EF}{BC}= \frac{1}{3}$

Thus

$\frac{ED}{AB}=\frac{EF}{BC}= \frac{1}{3}$

∠ABC = ∠DEF (As given in the figure )

Thus △ABC and △DEF are similar by SAS Similarity property .

7 0

3 years ago

Read 2 more answers

Which ordered pair makes both inequalities true? y < 3x – 1 y > –x + 4 On a coordinate plane, 2 straight lines are shown.

Katen [24]

Answer:

(4,0)

Step-by-step explanation:

we have

$y< 3x-1$ ----> inequality A

$y \geq -x+4$ ----> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each ordered pair

case 1) (4,0)

<em>Inequality A</em>

$0< 3(4)-1$

$0< 11$ ----> is true

<em>Inequality B</em>

$0 \geq -(4)+4$

$0 \geq 0$ ----> is true

so

the ordered pair makes both inequalities true

case 2) (1,2)

<em>Inequality A</em>

$2< 3(1)-1$

$2< 2$ ----> is not true

so

the ordered pair not makes both inequalities true

case 3) (0,4)

<em>Inequality A</em>

$4< 3(0)-1$

$4< -1$ ----> is not true

so

the ordered pair not makes both inequalities true

case 4) (2,1)

<em>Inequality A</em>

$1< 3(2)-1$

$1< 5$ ----> is true

<em>Inequality B</em>

$1 \geq -(2)+4$

$1 \geq 2$ ----> is not true

so

the ordered pair not makes both inequalities true

5 0

3 years ago

Read 2 more answers