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1 year ago

Geometry questions....help me someone please

Mathematics

2 answers:

AlekseyPX1 year ago

8 0

Answer:

Triangle 1: x = 80 degrees, acute

Triangle 2: x = 10 degrees, right

Step-by-step explanation:

Triangle 1:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

$60 + 40 +x = 180$

Solve for x:

$100 + x = 180\\x = 80$

So, x = 80 degrees

Because all the angles are less than 90 degrees, this is an acute triangle.

Triangle 2:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

$3x + 60 + 90 = 180$

Solve for x:

$3x + 150 = 180\\3x = 30\\x = 10$

So, x = 10 degrees

Because there is an angle measuring 90 degrees, this is a right triangle.

OLga [1]1 year ago

7 0

Answer:

Triangle 1: x = 80 degrees, acute

Triangle 2: x = 10 degrees, right

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

Solve for x:

So, x = 80 degrees

Because all the angles are less than 90 degrees, this is an acute triangle.

Triangle 2:

By the Sum of Interior Angles Theorem, all the angles inside the triangle add up to 180 degrees. So, set up this equation (with the right angle given):

Solve for x:

So, x = 10 degrees

Because there is an angle measuring 90 degrees, this is a right triangle.

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Answer:

The first one is 360.

The second one is 1080.

Step-by-step explanation:

I got it right.

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3 years ago

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If Mary deposits $275 in principal at an interest rate of 3.2 percent, how much interest will she earn in one year

nekit [7.7K]

Answer:

Mary earns interest in one year is $88 .

Step-by-step explanation:

Formula

$Simple\ interest = \frac{Principle\times rate\times time}{100}$

As given

If Mary deposits $275 in principal at an interest rate of 3.2 percent .

Principle = $275

Rate = 3.2%

Time = 1 year

Putting all the values in the formula

$Simple\ interest = \frac{275\times 3.2\times 1}{100}$

$Simple\ interest =\frac{880}{100}$

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Therefore the Mary earns interest in one year is $88 .

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4 years ago

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There are 28.35 grams in an ounce and 2.21 pounds in a kilogram. Miriam converted 7 kilograms to ounces, but her answer is not c

Serggg [28]

Answer: C

: Miriam multiplied correctly, but her third fraction should be .S

Step-by-step explanation: Miriam used the unit conversation upside down. The 7000 g should have been multiplied by 1oz/28.35g

The grams cancel and the division of 7000 be 28.35 results in 246.91 oz Round to 252oz.

Alternative: 7kg (2.21 lb/kg)(16oz/lb)=252.5oz

The kg and lbs cancel and the amount of ounces remains.

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3 years ago

Courtney deposits $100 in an account that pays 5.5% interest compounded semiannually. How much is

Igoryamba

Answer:

only $11

Step-by-step explanation:

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3 years ago

URGENTE, PERGUNTAS DE MARCAR:

Norma-Jean [14]

Answer:

2a: (c)

5o: (1, 3) and (1,1)

3a: (b)

1a: (d)

4o: (b)

Step-by-step explanation:

2a: the equation of a circle circumference needs to be transformable to the form $(x-x_C)^2 + (y - y_C)^2 = r^2$ where $C(x_C; y_C)$ is the center and r is the radius. (a) and (d) can’t be it because they contain non-zero factors on xy. (b) isn’t an equation.

5o: just put the given (x, y) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because $2^2+3^2-2\cdot 2 -4\cdot 3 + 4 = 1 \neq 0$ , (3, 1) isn’t on it either because $3^2 + 1^2 - 2\cdot 3 - 4\cdot 1 + 4 = 4 \neq 0$ .

3a: calculate the value of the left-hand side term of the equation using (x, y) from the given point M. That’s the difference of square distance to the center to the square radius $r^2$ . Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get $3^2 + 4^2 - 6\cdot 3 -2\cdot 4 + 8 = 7$ , positive, so it’s outside the circle.

1a: see definition from 2a. Here, $r^2 = 9$ .

4o: insert the y from the straight line equation (r) (which can be equivalently transformed to $y = x+1$ ) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant. $x^2+(x+1)^2+2x - 4(x+1) = x^2 + x^2 + 2x + 1 + 2x - 4x + 4 = 2x^2 + 5 = 0 \iff x^2 = 2.5 \iff x \in \{-\sqrt{2.5}, \sqrt{2.5}\}$ There are two solutions, so it’s a secant.

3 0

3 years ago