All categories

3 years ago

In a triangle ABC if ∠A= 72° and ∠B= 63° find ∠C

Mathematics

2 answers:

bagirrra123 [75]3 years ago

5 0

Answer:

Angle C = 45 degrees

Step-by-step explanation:

All interior angles of a triangle add up to 180 degrees.

180-72-63 = angle C

Angle C = 45 degrees

belka [17]3 years ago

5 0

The person above is right

You might be interested in

A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30° to the base of the pyramid. What is

Helga [31]

Answer:

1) $h=\frac{8\sqrt{3}}{3}\ units$

2) $V=\frac{2,048\sqrt{3}}{9}\ units^3$

Step-by-step explanation:

Part 1) Find the height of the pyramid

we know that

$tan(30^o)=\frac{h}{(b/2)}$

where

h is the height of the pyramid

b is the length side of the square base

we have

$tan(30^o)=\frac{\sqrt{3}}{3}$

$b=16\ units$

substitute

$\frac{\sqrt{3}}{3}=\frac{h}{(16/2)}$

$\frac{\sqrt{3}}{3}=\frac{h}{8}$

$h=\frac{8\sqrt{3}}{3}\ units$

Part 2) Find the volume of the pyramid

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3} Bh$

where

B is the area of the square base

h is the height of the pyramid

we have

$B=(16^2)=256\ units^2$

$h=\frac{8\sqrt{3}}{3}\ units$

substitute

$V=\frac{1}{3} (256)(\frac{8\sqrt{3}}{3})$

$V=\frac{2,048\sqrt{3}}{9}\ units^3$

8 0

3 years ago

The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and

notsponge [240]

Answer:

$4.65\leq x\leq 5.35$

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, $|x-5|\leq 0.35$

We know

$x-5\leq 0.35$ and $x-5\geq -0.35$

$x\leq 0.35+5$ and $x\geq -0.35+5$

$x\leq 5.35$ and $x\geq 4.65$

So, $4.65\leq x\leq 5.35$

Hence the range of acceptable widths is $4.65\leq x\leq 5.35$

8 0

3 years ago

Which equation represents an exponential function that passes through the point (2, 80)?

Sloan [31]

The equation is y=mx+c where m is the gradient and c is the y-intercept

5 1

3 years ago

Read 2 more answers

Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After

HACTEHA [7]

D = rt. The first car's rate is r, and the other one, going faster, is r + 12. The time they travel is 2 hours. Since one is going faster than the other, he has gotten farther. But, regardless of that, the distance between them is 232. So the distance the first one travels, r*t, which 2r, plus the distance the second one travels, 2(r+12) = 232. 2r + 2r + 24 = 232. Solve for r. 4r = 208 and r = 52. The slower one goes 52 and the faster one goes 64

8 0

3 years ago

Read 2 more answers

I need help with these three

Ludmilka [50]

A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.

C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89

Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees

Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees

6 0

3 years ago

Read 2 more answers

In a triangle ABC if ∠A= 72° and ∠B= 63° find ∠C​

In a triangle ABC if ∠A= 72° and ∠B= 63° find ∠C