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sveticcg [70]
2 years ago
8

Triangle ABC has the following angle measurements

Mathematics
2 answers:
OlgaM077 [116]2 years ago
7 0

Answer:

Part A:

              Equation: 2x + x + 4 + x = 180

                x = 44

Part B: <A = 88, <B = 48

Step-by-step explanation:

<u>Part a:</u>

2x + x + 4 + x = 180

4x + 4 = 180

4x = 180 - 4

4x = 176

x = 44

<u>Part B:</u>

<A:

2x

2(44) = 88

<B:

x + 4

44 + 4 = 48

oksano4ka [1.4K]2 years ago
5 0

Answer:

What kind of equation are we supposed to do here?

Step-by-step explanation:

If you tell me then I can help you.

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PLEASEEE
pantera1 [17]

Step-by-step explanation:

ggfsgkfxcxx CH jhdxnkrz

3 0
2 years ago
What is an equivalent expression to 9(c+5)?
Thepotemich [5.8K]
9c + 45 because you factor the 9 into both c and 5
4 0
2 years ago
Read 2 more answers
Lucy’s rectangular garden is 15ft long and 12 ft wide. She adds a right triangle to her garden plan, so that the triangle’s heig
KIM [24]
Okay, so lets break this down.

First of all, we have the rectangular garden with a length of 15ft and a width of 12feet.  We need to find the area of this which is pretty simple.  This would be 15ft times 12ft which is 180ft².

Okay, now time for the triangle.  The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).

But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long.  Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.

Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15).  Then, the height is 7ft as included in the question.

Now to solve the area of a right triangle, you can use 1/2(bh).  So 1/2 of the base times height.

This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².

Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²

4 0
2 years ago
If you took a true “if then” statement and instead a not in each clause the new statement would also be true
Strike441 [17]

Answer:

True

Step-by-step explanation:

  • If it snows today, I will have to go out and clean the driveway.
  • If it does not snow today, I will not have to out and clean the driveway.
  • Without going into p's and q's and true false tables, I believe the negation is also true.

4 0
2 years ago
Read 2 more answers
Write the equation for a 3rd degree polynomial function that has roots at x = 1–3i and x = 2. The y‑intercept is (0,10). Write a
HACTEHA [7]

Answer:

\displaystyle P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)

Step-by-step explanation:

<u>Factored Form Of Polynomials </u>

If we know the roots of a polynomial as

\alpha _1,\alpha _2,\alpha _3

the polynomial can be expressed in factored form as

a(x-\alpha _1)(x-\alpha _2)(x-\alpha _3)

We are given two of the three roots of the polynomial:

\alpha _1=1-3i

\alpha _2=2

The other root must be the conjugate of the complex root:

\alpha _3=1+3i

Recall the product of two complex conjugate numbers is

(1-3i)(1+3i)=1^2-(3i)^2=1+9=10

The required polynomial is

P(x)=a\left[ x-(1-3i)\right ]\left[ x-(1+3i)\right ](x-2)

P(x)=a(x^2+2x+10)(x-2)

This is the factored form of the polynomial where only real numbers appear

We need to find the value of a, such as

P(0)=10

P(0)=a(0^2+2(0)+10)(0-2)=10

-20a=10

Thus the value of a is

\displaystyle a=-\frac{1}{2}

The expression of the required polynomial is

\boxed{P(x)=-\frac{1}{2}(x^2+2x+10)(x-2)}

5 0
2 years ago
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