All categories

3 years ago

The measures of two angles of a triangle are 35° and 45°. what is the measure of the third angle of the triangle?

2 answers:

6 0

The angles in a triangle add up to 180 so if we add up 35 and 45 we get 80. subtract 80 from 180 and we are left with 100. So the answer is b

Sergio [31]3 years ago

4 0

Answer:

The correct answer is option b.

Step-by-step explanation:

Given : Two out three angles of the triangle.

∠1 = 35°

∠2 = 45°

To find = Third angle of the triangle = ∠3 = ?

Solution :

∠1 +∠2 + ∠3 = 180° (Angle sum property of the triagkle )

∠3 = 180°-(∠1 +∠2)

∠3 = 180°- 35° - 45° = 100°

Hence, 100° is the measure of the third angle of the triangle.

You might be interested in

Answer to this please!

disa [49]

Answer:

the answer is 56

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 1 1/4 feet long. What is the maximum number of smaller pie

Neko [114]

Answer 4.6 ft

Step-by-step explanation:

5 0

3 years ago

Find the zero of f(x) = x^5-12x^2+32x

Alexeev081 [22]

The zeroes of <span>f(x) = x^5-12x^2+32x can be found by factoring,

</span><span>f(x) = x^5-12x^2+32x=(x-8)(x-4)

By the zero product theorem, (x-8)=0 or (x-4)=0 which means
x=8 or x=4.

So the zeroes of f(x) are S={4,8}</span>

8 0

3 years ago

What is the solution to the system of equations shown below?

Alexxandr [17]

Answer:

b. (1, 3, -2)

Step-by-step explanation:

A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.

It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:

a: -1 -5(1) +2(-4) = -14 ≠ -18

b: 1 -5(3) +2(-2) = -18 . . . . potential choice

c: 3 -5(8) +2(1) = -35 ≠ -18

d: 2 -5(-3) +2(0) = 17 ≠ -18

This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:

2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1

-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2

7 0

3 years ago

Show all work and reasoning

Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

$\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n$

and its value is given exactly by taking $n\to\infty$ . So the answer is D (and the value of the integral is exactly 39).

8 0

3 years ago