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DochEvi [55]
4 years ago
12

A triangle can contain both a right angle and obtuse angle?

Mathematics
1 answer:
Gnoma [55]4 years ago
6 0
No.  Since all triangles have angles with a sum of 180°, if one angle is 90°, the sum of the other two angles must be 90°.  An obtuse angle is greater than 90°, so having an obtuse angle in a right triangle is impossible, because it would make the sum of all angles greater than 180°.
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One of the giraffes, Bernard, is sick. Last week he weighed 2,490 pounds. This week he weighs 2,312 pounds. If w represents the
victus00 [196]

Answer:

w+2,312=2,490

w=178\ pounds

Step-by-step explanation:

Let

w ----> the amount of weight lost in pounds

we know that

The amount of weight Bernard lost plus the weight of this week must be equal to the weight of the last week

so

The linear equation that represent this situation is

w+2,312=2,490

solve for w

subtract 2,312 both sides

w=2,490- 2,312=178\ pounds

4 0
3 years ago
Read 2 more answers
Which function is increasingnon the interval (negative infinity, positive infinity)
BlackZzzverrR [31]

Answer:

h(x) = 2^(x) - 1.

Step-by-step explanation:

Let's look at each equation:

f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.

g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing

h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing

3 0
2 years ago
Micah invests $5,280 in an account that earns 4.2% interest, compounded monthly.
Olin [163]

Answer:

Hence By End of the year with monthly compounded interest it will have 5522.56 $

Step-by-step explanation:

Given:

Initial investment =5.280 $

Rate of interest =4.2%

To Find:

Amount after the 1 year

Solution:

As the investment follows the rule for compound interest as ,

A=P(1+R)^t

Here A=amount after t years

R= rate of interest , P= principal amount   t is time period

So given is monthly compounded interest

so t will divided into 12 parts as there 12 months in one year.

P=5280 $ , R=4.2/12 %  , t=12

A=5280(1+0.045/12)^(12)

A=5280(1.00375)^12

A=5280(1.046)

A=5522.56 $

8 0
3 years ago
22. If y = 1/3(x - 2), express x in terms of y A. X = 3y - 2 B. x = 3y + 2 C. x=y D. x=-Y​
bagirrra123 [75]

Answer:

B. x= 3y+2

Step-by-step explanation:

y=⅓x-⅔

⅔+y=⅓x

(⅔÷⅓)+(y÷⅓)=⅓x÷⅓

2+3y=x

6 0
3 years ago
1. Find the values of X and Y.
Andrei [34K]
156 and (14y+30) are opposite angles so they are the same. You can use this information to put them into an equation to solve;

14y+30 = 156
You want you the the y's alone, so you subtract 30 from each side.
14y = 126
Then divide each side by 14 to get what just 1 y is.
y = 9

Then to find what the other pair of opposite angle add up to subtract 156x2 from 360
156x2 = 312             360-312 = 48

Halve 48 to get the sum of just one of the opposite angles
48/2 = 24
Now you know that 3x = 24.       Solve this equation
                                 x = 8
4 0
3 years ago
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