Math Question Please Help

Triangle ABC

Stolb23 [73]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's solve for value of values of x and y ~

According to Angle sum property of triangles :

$\qquad \sf \dashrightarrow \: 70 \degree + 58\degree + x = 180\degree$

$\qquad \sf \dashrightarrow \: x\degree + 128\degree = 180\degree$

$\qquad \sf \dashrightarrow \:x = 180\degree - 128\degree$

$\qquad \sf \dashrightarrow \: x = 52\degree$

Now, solve for y ~

$\qquad \sf \dashrightarrow \: 70\degree + 49\degree + y = 180\degree$

$\qquad \sf \dashrightarrow \: y + 119 = 180\degree$

$\qquad \sf \dashrightarrow \: y = 180 - 119\degree$

$\qquad \sf \dashrightarrow \: y = 61 \degree$

Now, by the results we got, we can conclude that :

The two triangles are not similar because 70 + 58 + x = 180 means x = 52° and 70 + 49 + y=180 means y = 61°

8 0

2 years ago

Read 2 more answers

A.)90 B.)41 C.)15 D.)83

Natalija [7]

Answer:

D

Step-by-step explanation:

∠ABC= ∠DBE (vert. opp. ∠s)

(6x -7)°= (4x +23)°

6x -7= 4x +23

Being x terms to 1 side, constant to the other:

6x -4x= 23 +7

Simplify:

2x= 30

Divide both sides by 2:

x= 15

Substituting the value of x:

m∠ABC

= 6(15) -7

= 83

3 0

3 years ago

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

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

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

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

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

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

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

8 0

3 years ago

What's the gcf of 47 and 17

ElenaW [278]

Answer:

The GCF of 47 and 17 is 1

Step-by-step explanation:

6 0

3 years ago

WILL GIVE BRAINLIEST Subtract 9x^2+7x-2 from 8x-10

konstantin123 [22]

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

6 0

3 years ago