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3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.

This means that we can set $7x - 3$ equal to 60 to solve for $x$ :

$7x - 3 = 60$

Set up

$7x = 63$

Add 3 to both sides

$x = 9$

Divide both sides by 7

Our answer is x = 9.

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What is the smallest 6 digit palindrome that is divisible by 99

Scorpion4ik [409]

Answer:

108801

Step-by-step explanation:

6-digit palindrome is the number n the form of:

xyzzyx

This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):

x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):

x + y + z = 9

The smallest number we could get is when x is minimum, y is minimum, so:

x = 1, y = 0, then y = 8

The number we get is:

108801

Proof:

108801/99 = 1099

4 0

3 years ago

Read 2 more answers

Help help me please

LuckyWell [14K]

If they are parallelogram

2x/10=4y

3y/24=6x

get the values for xand y i think u can solve it

7 0

3 years ago

Imagine that you are standing at the top of a cliff that is 1,500 feet above sea level. You see ship A, and your eyes make an an

kati45 [8]

Answer: option A. 30 °.

Explanation:

1) Draw this triangle: Eyes - Ship A - height of the cliff:

The angle of the vertix where the eyes are is: 90° - depreesion angle = 90° - 60° = 30°.

2) opossite leg = horizontal distance to the ship A = x

3) adjacent leg = height of the cliff = 1500 feet

4) tan(30°) = x / 1500 feet => x = 1500 tan(30°) = 1500 √3 / 3 = 500√3

5) Draw the triangle of the eyes - ship B - hieght of the cliff

6) The unknown is the depression angle of the eyes with ship B, α

7) opposite leg = 500√3 feet + 1000√3 feet = 1500√3 feet

8) adjacent leg = height of the cliff = 1500 feet

9) tan(α) = opposite leg / adjacent leg = 1500√3 / 1500 = √3

10) α = arctan(√3) = 60°

11) Depression angle = 90° - 60° = 30° Which is the answer

5 0

3 years ago

Read 2 more answers

-36 ÷ 4 A) 4 groups of 9 negatives B) 4 groups of 9 positives C) 9 groups of 4 negatives D) 9 groups of 4 positives

Valentin [98]

Answer:

A) 4 groups of 9 negatives

Step-by-step explanation:

-36/4

-9

This means we have 4 groups of 9 negatives

7 0