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diamong [38]
3 years ago
9

Angles ABC and DBE are vertical angles, with angle ABC = 4x, and angle DBE =( 2x+18)

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
 V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.
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Which equation is true for the triangle?
Kamila [148]

Answer:

D

Step-by-step explanation:

the three main trig functions are

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

( opposite = side opposite of angle , hypotenuse = longest side and adjacent = other side )

Sin(55) = a/c as side a is opposite of the angle and c is the hypotenuse so D might be the answer

cos(55) would be b/c as the adjacent of that angle is b and the hypotenuse is c. B and C show the wrong ratios so B and C can't be the answer

tan(55) would be a/b as side a is opposite of the angle and b is the adjacent, A says c/a which is wrong

so we can conclude the answer is D

5 0
2 years ago
To help open up a wine bar, Jose borrowed money from a bank. He took out a personal, amortized loan for $49,000, at an interest
artcher [175]

Using simple interest, it is found that the monthly payments are of $854.875.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, the parameters are A(0) = 49000, r = 0.0665, t = 7, hence the total amount is of:

A(t) = A(0)(1 + rt)

A(t) = 49000[1 + 0.0665(7)]

A(t) = 71809.5

Payments over a period of 12 x 7 = 84 months, hence the monthly payments are of:

71809.5/84 = $854.875.

More can be learned about simple interest at brainly.com/question/25296782

5 0
2 years ago
PLEASE HELP WITH ALGEBRA!!!
ExtremeBDS [4]

Answer: aₙ = 3 + 4ⁿ⁻¹

So the formula would be:

<u>aₙ = 3 + 4ⁿ⁻¹</u>

Where a₁ = 3

Common Ratio (r) = 4

And n = the term number that needs to be found out

Step-by-step explanation:

<u>Let's check if the answer is right:</u>

To find the 1st number in the term we can substitute 1 in for n in the equation:

a₁ = 3 + 4¹⁻¹

a₁ = 3 + 4⁰

a₁ = 3 + 1

a₁ = 4

And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct

Hope this helps!

7 0
3 years ago
Write an algebraic expression that is equivalent to the expression.<br><br> cos⁡(arcsin⁡ (x-h)/r )
Brrunno [24]
Answer is in the attachment below.

8 0
3 years ago
Jemina flips a disc of the type shown below: A disc with two layers is shown. The top layer is shaded in a darker shade of gray,
Yakvenalex [24]
The probability is just 1/2 that the disc will result with the white side landing up.

There are two sides to the disc. If they are equally likely to happen, then the chance of either side is 1/2. It does not matter which number the flip is.
6 0
3 years ago
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