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17 days ago

ΔABC is an equilateral triangle. m∠A = (3x - 12)°. Solve for x.

2 answers:

6 0

In the case of an equilateral triangle ABC, each angle measures 60 degrees, as the total angle sum in any triangle is 180 degrees, and dividing that by 3 yields 60. Setting this equal to 3x-12, we have 60 = 3x - 12. After adding 12 to both sides, we get 72 = 3x, and dividing 72 by 3 gives us x = 24.66! I hope this clarifies things for you!

babunello [8.4K]17 days ago

5 0

An equilateral triangle must have each angle measuring 60 degrees to maintain the total of 180 degrees. Thus, we arrive at the equation 60 = 3x - 12. By adding 12 to both sides, we obtain 72; then dividing that by 3 results in 24.

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A stadium asked for $760,000 for naming rights. During a bidding war for the stadium naming rights, one company bid 7% more than

AnnZ [9099]

Response:

$\$\ 829464$

Detailed explanation:

First company bid:

The bid is $7\%$ more

$7\%$ of $760000=\frac{7}{100}\times760000=53200$

Bid of first $=760000+53200=813200$

Second company bid:

The second company’s bid is $2\%$ higher than the first

$2\%$ of the first bid $=\frac{2}{100}\times 813200=16264$

As a result, the second company's bid is $=813200+16264=829464$

8 0

16 days ago

Laura is the fund-raising manager for a local charity. She is ordering caps for an upcoming charity walk. The company that makes

Zina [9171]

Let x represent the number of caps

cost per cap = $6

cost for x caps = 6x

shipping charge = $25

overall budget = $1000

We can set up the following inequality:

Because the total amount cannot exceed 1000, we have

25 + 6x ≤ 1000

6x ≤ 975

x ≤ 162.5

rounding,

x ≤ 163

This means she can purchase a maximum of 163 caps.

5 0

1 month ago

Find the sum of the integers between 301 and 400 inclusive that are multiples of 4.

Leona [9271]

First, we need to identify the integers between 301 and 400 that are divisible by 4. The initial number is 304, which is the first multiple of 4 in that range. The sequence formed is 304, 308, 312,...,400, creating an arithmetic progression (AP). To determine how many such integers exist, we utilize the AP formula.

4 0

12 days ago

Read 2 more answers

Add the two expressions.<br><br> −4.2x+3 and 2.5x−6<br><br> Enter your answer in the box.

babunello [8412]

Answer:

-1.7x -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

I prefer to align them one above the other.

−4.2x+3

2.5x−6