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3 years ago

HELPPPP NOWWWW ITS TIMEDD

Mathematics

2 answers:

PSYCHO15rus [73]3 years ago

6 0

Answer:

145°

Step-by-step explanation:

The angle of a straight line will always be 180.

The sun of all angles in a triangle will always be 180.

We can find the value of angle c by taking 145 away from 180.

180 - 145 = 35

Now that we know angle c, to find the sum of angles a and b, we take 35 away from 180.

180 - 35 = 145

Dvinal [7]3 years ago

6 0

Answer:

45 degrees

Step-by-step explanation:

You can see that angle C is obtuse and Angle A and B are obviously not obtuse or right angles, so the only answer left is 45

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and

omeli [17]

Step-by-step explanation:

$x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\$ (given)

Let us consider :

$x_{1}$ = $t_{1} + 1$

$x_{2}$ = $t_{2}$

$x_{3}$ = $t_{3}$

$x_{4}$ = $t_{4}$

$x_{5}$ = $t_{5}$

Now, by substituting the above considerations in the above equation, we get:

$t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\$

$t_{1} + t_{2} + t_{3} + t_{4} + t_{5} = 20\\$

where,

$t_{i}$ $\geq$ 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = $_{r}^{n + r}\textrm{C}$

= $_{4}^{24}\textrm{C}$

= 10626

Answer :

no. of solutions for the eqn 10626

4 0

3 years ago

Please help me with this!

salantis [7]

The original area of a face would be a^2. Now that you added b to the edge, the new area of each face would be (a+b)^2. To find how much the are increased, subtract a^2 from (a+b)^2. $(a+b)^2-(a^2)= a^2+2ab+b^2-(a^2)= 2ab+b^2= b(2a+b)$ So the answer is b(2a+b)