Solve using substitution. –6x − 5y = 19 y = 7 ( , )

Mathematics

2 answers:

ExtremeBDS [4]3 years ago

6 0

x=4

y=-1

Step-by-step explanation:]

stealth61 [152]3 years ago

6 0

X=4

Y=1
I’m sure it’s right

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The explicit formula for a sequence is<br> an=−2+3/2(n−1)<br> What is the 21st term of the sequence?

Anni [7]

Step-by-step explanation:

From the given question it appears that (n-1) is in the numerator's place, if it is so, then let us solve it.

$a_n = - 2 + \frac{3}{2}(n - 1) \\ \\ \therefore \: a_{21} = - 2 + \frac{3}{2} (21 - 1) \\ \\ \therefore \: a_{21} = - 2 + \frac{3}{2 } \times \: 20\\ \\ \therefore \: a_{21} = - 2 + 3 \times \: 10 \\ \\ \therefore \: a_{21} = { -2 + 30} \\ \\ \therefore \: a_{21} = 28 \\ \\ \huge \red{ \boxed{\therefore \: a_{21} = 28} } \\ \\$

8 0

4 years ago

15. In the rhombus shown below, mz1 = 160°. What are the measures of 22 2 points

egoroff_w [7]

Answers:

angle2 = 160 degrees

angle3 = 10 degrees

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Explanation:

The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.

Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".

Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.

160+x+x = 180

2x+160 = 180

2x = 180-160

2x = 20

x = 20/2

x = 10

Angle 3 is 10 degrees.

6 0

3 years ago

All wise men wear galoshes. Mr Thompson wears galoshes so he must be wise. Valid or Invalid?

natka813 [3]

Invalid because your choice of clothing does not show how wise you are