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PSYCHO15rus [73]
2 years ago
14

The measure of two consecutive angles of a parallelogram are in the ration of 7:5. What is the measure of the obtuse angle of th

e parallelogram.​
Mathematics
1 answer:
RideAnS [48]2 years ago
8 0

Consecutive angles in a parallelogram are supplementary angles which when added together equal 180 degrees.

The ratio is 7:5 so we would have:

7x + 5x = 180

Simplify:

12x = 180

Divide both sides by 12:

X = 15

So one angle is 7 x 15 = 105 degrees

The other angle is 5 x 15 = 75 degrees

An obtuse angle is an angle greater than 90 degrees.

The obtuse angle would be 105 degrees.

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Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?
Arte-miy333 [17]
y=-x^2+2x+4 
x+y=4
y=4-x
4-x=-x^2+2x+4
x^2-3x=0
x(x-3)=0
x=0 or x =3

for x = 0 y = 4
for x = 3 y = 1

4 0
3 years ago
The equation of the hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5 is:
tresset_1 [31]

Answer:

\frac{x^2}{4}-\frac{y^2}{25} =1

Step-by-step explanation:

we are given

center =(0,0)

we can compare with

center=(h,k)=(0,0)

so, h=0 and k=0

a=2 and b=5

now, we can use equation of hyperbola formula

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1

now, we can plug values

\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1

we can simplify it

and we get equation of hyperbola as

\frac{x^2}{4}-\frac{y^2}{25} =1


5 0
3 years ago
Help please!!! Which statement best describes the function
olga55 [171]

Answer:

A.

Step-by-step explanation:

We have x in exponent, so it is an exponential function.

Exponent is negative, so is is an exponential decay.

3 0
2 years ago
Read 2 more answers
Solve for x: 3(x - 2) = -9
Airida [17]

Answer:

X=-1

Step-by-step explanation:

3x-6=-9

3x=-9+6

3x=-3

x=-1

5 0
3 years ago
Hi! ❤️ , im looking for some help here. ill give brainliest if able to.
Alexeev081 [22]

Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

4 + 7 = 11

2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).

Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

4 0
2 years ago
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