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omeli [17]
3 years ago
6

Need help tx sm I appreciate it

Mathematics
1 answer:
qwelly [4]3 years ago
6 0

Answer:

<h3>x =11</h3>

Step-by-step explanation:

Using the triangular law which states that the sum of interior anggle of a triangle is equal to exterior angle

From the diagram

Interior angles = 5x +10 and 58

Interior angle = 11x+2

Equate both expressions

5x + 10 + 58 = 11x+2

5x - 11x  = 2 - 10 - 58

-6x = 2-68

-6x = -66

x = -66/-6

x = 11

<em>Hence the value of x is 11</em>

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a triangle has vertices at (1, 1), (1, 2), and (3, 2). it is dilated by a scale factor of 3 within the origin as the center of d
PolarNik [594]

Answer:

(3,3), (3,6), (9,6)

Step-by-step explanation:

A triangle ABC has vertices at A(1, 1), B(1, 2), and C(3, 2).

The dilation by a scale factor of 3 within the origin as the center of dilation has the rule

(x,y)\rightarrow (3x,3y)

Hence,

  • A(1,1)\rightarrow D(3,3)
  • B(1,2)\rightarrow E(3,6)
  • C(3,2)\rightarrow F(9,6)

See attached diagram for details.

6 0
4 years ago
Simplify fully<br> 2√3 x 3√8​
OverLord2011 [107]

Answer: 12√6

Step-by-step explanation:

Given the expression;

2√3 * 3√√8

= (2*3) * (√3*√8)

= 6 * (√24)

= 6 * √4*6

= 6 * (2√6)

= (6*2)√6

= 12√6

Therefore, the simplified form of the expression is 12√6.

8 0
3 years ago
∠1 and ​ ∠2 ​ are a linear pair, and ​ ∠2 ​ and ​ ∠3 ​ are vertical angles. m∠2=(5+4y)∘ and ​ m∠3=(6y−25)∘
Leni [432]

Answer:

The measure of angle 1 is 115°

Step-by-step explanation:

we know that

If ∠1 and ​ ∠2 ​ are a linear pair

then

∠1 +∠2 =180°​ -----> supplementary angles

If ∠2 and ​ ∠3 ​ are vertical angles

then

∠2 =∠3

step 1

Find the value of y

we know that

∠2 =∠3

substitute values

(5+4y)°=(6y-25)°

6y-4y=(5+25)°

2y=(30)°

y=15°

step 2

Find the measure of angle 2

∠2=(5+4y)°

substitute the value of y

∠2=(5+4(15))°

∠2=65°

step 3

Find the measure of angle 1

we know that

∠1 +∠2 =180°

we have

∠2=65°

substitute

∠1 +65°=180°

∠1 =180°-65°=115°

3 0
4 years ago
Use the ALEKS calculator to write 14/15 as a decimal rounded to the nearest tenth.
Travka [436]

Answer:from calculator

0.9333333333

6 0
3 years ago
Taro uses a coordinate systemwith units of feet to keep frack of the locations of any objects he finds with his metal detector.
kolbaska11 [484]

Answer:

The distance between ring and coin is 13 units apart.

Step-by-step explanation:

\sqrt{ {(x1 - x2)}^{2}  +  {(y1 - y2)}^{2} }

Using this formula, you are able to find the distance between the ring and the old coin :

Let (x1,y1) be (10,19),

Let (x2,y2) be (5,7),

D = √(10-5)²+(19-7)²

= √5²+12²

= √25+144

= √169

= 13 units

8 0
3 years ago
Read 2 more answers
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