All categories

3 years ago

Help with these questions!! I need help! I will mark brainliest!!

Mathematics

2 answers:

g100num [7]3 years ago

4 0

Answer: I believe it's 85° i have no explanation and am sorry if it's wrong x

Step-by-step explanation:

Leto [7]3 years ago

3 0

Answer:

Question 1. Option (3) RT = 35°

Question 2. Option (3) y = 2

Step-by-step explanation:

By the definition of external angle, ∠PSY is the external angle formed by the secants PS and YS.

From the attached diagram.

Theorem says,

m(∠a) = $\frac{1}{2}(\frac{y-x}{2})$ °

Now we will apply this theorem in our question.

m(∠PSY) = 180° - [m(∠SMX) + m(∠MXS)]

= 180° - (95° + 45°)

= 180° - 140°

= 40°

Since m(∠PSY) = $\frac{1}{2}[m(arcPY)-m(arcRT)]$ [By the theorem]

m(arc PY) = m(arc PW) + m(arc WY)

= (80 + 35)°

= 115°

Now m(∠PSY) = $\frac{1}{2}[115-RT]$

40° = $\frac{1}{2}(115-RT)$ °

80 = 115 - RT

RT = 115 - 80

RT = 35°

Therefore, Option (3). RT = 35° is the answer.

Question 2.

By the theorem, every angle at the circumference of a semicircle, that is subtended by the diameter of the semicircle is a right angle.

Therefore, (53y - 16)° = 90°

53y = 90 + 16

53y = 106

y = 2

Therefore, Option (3). y = 2 is the answer.

You might be interested in

Which represents the solution(s) of the graphed system of equations, y = x2 – 2x and y = –2x – 1? (1, –1) (0, 0) and (0, –1) (0,

olganol [36]

ANSWER

No solution

EXPLANATION

The first equation is

$y = {x}^{2} - 2x$

and the second equation is

$y = - 2x - 1$

We equate the two equations to obtain;

${x}^{2} - 2x = - 2x - 1$

This implies that

${x}^{2} = - 2x + 2x - 1$

${x}^{2} = - 1$

There is no real number whose square is -1.

Therefore, the equation has no solution.

6 0

3 years ago

Read 2 more answers

What are congruent triangles.

pashok25 [27]

Answer:

Congruent triangles are triangles that have the same size and shape.

We say that the two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Use induction to prove that 2? ?? for any integer n>0 . Indicate type of induction used.

Hoochie [10]

Answer with explanation:

The given statement is which we have to prove by the principal of Mathematical Induction

$2^{n}>n$

1.→For, n=1

L H S =2

R H S=1

2>1

L H S> R H S

So,the Statement is true for , n=1.

2.⇒Let the statement is true for, n=k.

$2^{k}>k$

---------------------------------------(1)

3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

$\rightarrow 2^{k+1}>k+1\\\\L H S=\rightarrow 2^{k+1}=2^{k}\times 2\\\\\text{Using 1}\\\\2^{k}>k\\\\\text{Multiplying both sides by 2}\\\\2^{k+1}>2k\\\\As, 2 k=k+k,\text{Which will be always greater than }k+1.\\\\\rightarrow 2 k>k+1\\\\\rightarrow2^{k+1}>k+1$