Ask question

Ask question

All categories

antoniya [11.8K]

3 years ago

15

A triangle has ∠A, ∠B, and ∠C. ∠B is 20° more than ∠A. ∠C is double ∠B. How big is ∠A?

2 answers:

Ivenika [448]3 years ago

7 0

Let angle A be x degrees
Angle B=(x+20) degrees
Angle C=2(x+20)=(2x+40) degrees

angle A+angle B+angle C=180 degrees(sum of the angles of a triangle=180 degrees)
x+x+20+2x+40=180
5x+60=180
5x=180-60
5x=120
x=120/5
x=40 degrees
A=40 degrees

Hope this helps!

san4es73 [151]3 years ago

5 0

Answer:

30°

Step-by-step explanation:

∠A + ∠B + ∠C = 180

∠B = ∠A + 20

∠C = 2 * ∠B

<A + (∠A + 20) + (2 * ∠B) = 180

<A + (∠A + 20) + (2 * (∠A + 20)) = 180

<A + (∠A + 20) + 2∠A + 40 = 180

4∠A + 60 = 180

4∠A = 120

∠A = 30

You might be interested in

There are only chickens and pigs in Henry's Barn Henry counted a total of Sixteen animal heads and a total of 50 animal feet.How

raketka [301]

Answer:

9 pigs

Step-by-step explanation:

We have the following numbers of heads:

pigs (p) + chickens (c) = 16 animal heads (1)

And the following numbers of feet:

4p + 2c = 50 animal feet (2)

From equation (1):

p = 16 - c (3)

By entering equation (3) into (2) we have:

4(16 - c) + 2c = 50

64 - 4c + 2c = 50

c = 7

Now, entering the value of c into equation (3) we have the next value of p:

p = 16 - c

p = 16 - 7

p = 9

Therefore, the number of pigs that Henry has is 9.

I hope it helps you!

4 0

3 years ago

Which expression is equivalent to 2x^5 + 4x^4 - 5x^5 - (3x^4 - 8x^5)

Naddika [18.5K]

One that could be close is Letter B?

6 0

3 years ago

I keep getting the answer wrong to this question can anyone help?

Keith_Richards [23]

Circumference,C = 2 πr
C= 2 x 3.14 x 3
C= 18.84 inches

5 0

3 years ago

Be<br> Solve for<br> 8x +32 = 1/5(25x – 15) - 4x<br> Enter your answer in the box<br> x=

Temka [501]

Answer: x=−5

Step-by-step explanation:

8x+32=5x−3−4x

8x+32=x−3

8x+32−x=−3

7x+32=−3

7x=−3−32

7x=−35

x=- 35/7

x=−5

7 0

2 years ago

Read 2 more answers

plain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = x2 − 2x x2 − 4 if x ≠ 2 1 if x =

ElenaW [278]

Answer with Step-by-step explanation:

We are given that

$f(x)=\left\{\begin{matrix}\dfrac{x^2-2x}{x^2-4}&,if\ \ x\neq 2 \\ 1&,if\ \ x=2\end{matrix}\right.$

We have to explain that why the function is discontinuous at x=2

We know that if function is continuous at x=a then LHL=RHL=f(a).

$f(x)=\frac{x(x-2)}{(x+2)(x-2)}=\frac{x}{x+2}$

LHL=Left hand limit when x <2

Substitute x=2-h

where h is small positive value >0

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2-h}{2-h+2}$

$\lim_{h\rightarrow 0}\frac{2-h}{4-h}=\frac{2}{4}=\frac{1}{2}$

Right hand limit =RHL when x> 2

Substitute

x=2+h

$\lim_{h\rightarrow 0}f(x)=\lim_{h\rightarrow 0}\frac{2+h}{2+h+2}=\lim_{h\rightarrow 0}\frac{2+h}{4+h}$

$=\frac{2}{4}=\frac{1}{2}$

LHL=RHL= $\frac{1}{2}$

f(2)=1

$LHL=RHL\neq f(2)$

Hence, function is discontinuous at x=2

4 0

4 years ago