The sum of four times a number and seventeen 65. find the the number

Find the degree measure of each angle in the triangle.

Alex777 [14]

Answer:

∠R = 56°
∠Q = 90°
∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(2x + 38)°
(5x - 11)°

Solving according to angle sum property,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (2x + 38)° + (5x - 11)° = 180°

$\longrightarrow$ 117° + 7x = 180°

$\longrightarrow$ 7x = 180° - 117°

$\longrightarrow$ 7x = 63°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 2(9) + 38

$\longrightarrow$ 56°

$\longrightarrow$ 5(9) - 11

$\longrightarrow$ 34°

∠R = 56°
∠Q = 90°
∠S = 34°

The angles are 56°, 90° and 34°.

4 0

2 years ago

Lim x->infinity (1+1/n)

FrozenT [24]

Answer:

$^{ \lim}_{n \to \infty} (1+\frac{1}{n})=1$

Step-by-step explanation:

We want to evaluate the following limit.

$^{ \lim}_{n \to \infty} (1+\frac{1}{n})$

We need to recall that, limit of a sum is the sum of the limit.

So we need to find each individual limit and add them up.

$^{ \lim}_{n \to \infty} (1+\frac{1}{n})=^{ \lim}_{n \to \infty} (1) +^{ \lim}_{n \to \infty} \frac{1}{n}$

Recall that, as $n\rightarrow \infty,\frac{1}{n} \rightarrow 0$ and the limit of a constant, gives the same constant value.

This implies that,

$^{ \lim}_{n \to \infty} (1+\frac{1}{n})= 1 +0$

This gives us,

$^{ \lim}_{n \to \infty} (1+\frac{1}{n})= 1$

The correct answer is D

5 0

3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

Thanks in advance if you help me!

8090 [49]

D) Definition of Equilateral Triangle
e) Vertical Angles
f1) ΔTVS ≅ ΔUVR
f2) Side Angle Side Postulate
g) Definition of Congruent Triangles

Hope that helps!

4 0

3 years ago

What is -3(x-8)+7x=12

algol13

Answer:

18/5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers