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julia-pushkina [17]
2 years ago
13

25 points!

Mathematics
2 answers:
zvonat [6]2 years ago
7 0

Answer:

Step-by-step explanation:

Brut [27]2 years ago
6 0

Answer:

x = 4

Step-by-step explanation:

The steps we need to take:

1. Simplify left side.

2. Separate the variable and its coefficient from constants

3. Divide both sides by the coefficient to find "x

1) Simplify left side.

5(3x - 4) + 12 = 52

15x - 20 + 12 = 52

15x - 8 = 52

2) Separate the variable and its coefficient from constants by adding 8 to both sides.

15x - 8 + 8 = 52 + 8

15x = 60

3) Divide both sides by the coefficient to find x. (the coefficient is the number that comes before the variable)

15x / 15 = 60 / 15

x = 4

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Given:
Maksim231197 [3]

Answer:

Option B is correct.

\triangle RST \cong \triangle TUR  

Step-by-step explanation:

Given: RSTU is a parallelogram.

By definition of parallelogram, two pairs of opposite sides are congruent in length.

⇒TU \cong RS and TS \cong RU

In triangle RST and  triangle TUR

RS \cong TU  [Side]  

TS \cong RU  [Side]

RT \cong RT   [Common side]

SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.

then, by SSS postulates we have;

\triangle RST \cong \triangle TUR    


7 0
3 years ago
Read 2 more answers
Gabrielles age is three times mikhals age. The sum of their ages is 44. What is MIkhails age?
Ymorist [56]
Soln:
Let mikhale's age be X
Gabrielle's age be 3X
Sum of their ages is 44

To find,
their ages.

X+3X=44
4X=44
X=44/4
X=11

mikhale's age= 11

Gabrielle's age = 3x11=33

Sum of their ages 44

Thus we have got their ages.Gabrielle's age is 33 and Mikhale's age is 11.
7 0
3 years ago
Read 2 more answers
The difference of two numbers is 3. their sum is 14. find the two numbers. (show work please)
Artemon [7]
Let's say the larger number is x. that means that the smaller number is x - 3. since you know their sum is x + x - 3, and that is equal to 14. so you have the equation x + x - 3 = 14. combine like terms (x) to get 2x - 3 = 14. add three to both sides to get 2x = 17. divide both sides by two to get x = 17/2. so the larger number is 17/2, and the larger number is 11/2 (17/2 - 3 = 11/2)
8 0
3 years ago
A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.
Yakvenalex [24]

Answer:

14.7 cm

Step-by-step explanation:

Using Pythagoras Theorem,

The length of the other leg

=  \sqrt{ {19}^{2}  -  {12}^{2} }

=  \sqrt{217}

= 14.730919...

= 14.7 cm (rounded to the nearest tenth)

6 0
3 years ago
If a = -3, find the value of<br> a) 2a<br> b) a^2<br> c) 3a^2
White raven [17]

Answer:

a) -6

b) 9

c) 27

Step-by-step explanation:

2( - 3) =  - 6 \\  { - 3}^{2}  =  - 9 \\ 3 {( - 3)}^{2}  =  27

8 0
2 years ago
Read 2 more answers
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