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3 years ago

In a triangle, the first angle is 22⁰ and the second angle is 78⁰. What is the measure of the third angle?

Mathematics

2 answers:

serg [7]3 years ago

7 0

Answer:

80°

Step-by-step explanation:

Hello all triangles equal 180 degrees. So, with that being said to solve this you need to do 180-22-78 Which equals 80

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

The third angle is 80 degrees

Step-by-step explanation:

In math, the rule is such that for all triangles, regardless of what kind they are, whether or not the sides are equal or all not equal to each other, the sum of the interior angles must add up to 180 degrees.

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Find an expression for the nth term ( tn ) in each of the following sequences:

Alexandra [31]

Answer:

The expression for the nth term is Tn = 8n -7

Step-by-step explanation:

Here, we are to find an expression for the nth term of the sequence.

Mathematically, the nth term of an arithmetic sequence can be expressed as;

Tn = a + (n-1)d

for T2, the equation is

a + d = 9

for T4, the equation is

a + 3d = 25

we can substitute the equation of T2 into T4 but we first need to rewrite T4

a + d + 2d = 25

9 + 2d = 25

2d = 25 -9

2d = 16

d = 16/2

d = 8

now since a + d = 9

a = 9-d

a = 9-8

a = 1

So the expression for the nth term would be;

1 + (n-1)8

1 + 8n - 8

= 8n -8+1

= 8n -7

6 0

3 years ago

What does subsequent mean

Olenka [21]

Subsequent means following (in time, order or place f.e.)

6 0

3 years ago

AB is a tangent. Find the length of the radius, r.

Lena [83]

Answer: 8

Step-by-step explanation:

Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem, $r=\sqrt{17^{2}-15^{2}}=8$

4 0

2 years ago

Help this is due today!!!

kompoz [17]

Answer:

Hello!!

What is the value of m?

$0.61m-1.51m=9$

$m=-10$

Step-by-step explanation:

Isolate the variable by dividing each side by factors that do not contain the variable

Hope this helps!!

6 0

2 years ago

Read 2 more answers

The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.

NeX [460]

By definition, the volume of a sphere is:
$V = \frac{4}{3} (\pi) (r ^ 3)
$
Where,
r: sphere radio
Substituting values we have:
$V = \frac{4}{3}(3.14)(( \frac{21.6}{2} ) ^ 3)
$
$V = 5273.99424
$ Rounding the result to the nearest tenth:
$V = 5274.0 cm ^ 3
$ Answer:
the sphere's volume is:
$V = 5274.0 cm ^ 3$

5 0

3 years ago