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xxMikexx [17]
3 years ago
8

Helpppppppppppppp please

Mathematics
1 answer:
Semenov [28]3 years ago
5 0

Answer: t+20 = 60


Step-by-step explanation:


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Help me to prove the given below. Thank you in advance
sleet_krkn [62]

Answer:

Construct MO, where O is the midpoint of CG. (As shown in the attached figure)

(1) LM = MG //given, CM is the median to the hypotenuse      

(2) CO = OG // construction    

(3) MO is a mid-segment   //(1), (2) , Definition of a mid-segment

(4) MO // LC //triangle mid-segment theorem    

(5) ∠MOG ≅ ∠LCO // corresponding angles in two parallel lines intersected by a transversal line (CG)

(6) m∠LCO=90°  //given, ΔLCG is a right triangle

(7) m∠MOG=90° //(5), (6), definition of congruent angles

(8) m∠MOC=180° – 90° = 90° // linear pair

(9) ∠MOG ≅ ∠MOC //(7),(8), definition of congruent angles

(10) MO=MO //common side, reflexive property of equality  

(11) ΔMCO ≅ ΔMGO  //(2), (9), (10) Side-Angle-Side postulate

(12) MC = MG // Corresponding sides in congruent triangles (CPCTC)      

(13) MG= ½LG // Given, CM is the median to the hypotenuse    

(15) MC = ½LG //(12) , (13), substitution  

8 0
3 years ago
Which expression is the simplest form of...
Lemur [1.5K]

Answer:

The answer is option A

Step-by-step explanation:

<h3>( {x}^{ -  \frac{4}{7} } )^{7}</h3>

Using the rules of indices

That's

<h3>( { {a}^{x} })^{y}  =  {a}^{x \times y}</h3>

Simplify the expression

We have

<h3>( { {x}^{ -  \frac{4}{7} } })^{7}  =  {x}^{ -  \frac{4}{7} \times 7 }   \\  =  {x}^{ - 4}</h3>

Again using the rules of indices

That's

<h3>{x}^{ - y}  =  \frac{1}{ {x}^{y} }</h3>

The final answer is

<h3>\frac{1}{ {x}^{4} }</h3>

Hope this helps you

5 0
3 years ago
Read 2 more answers
Translate this sentence into an equation: 162 is the product of 9 and Gall's age. Use the variable g to represent Gall's age.
oksano4ka [1.4K]
The equation is
9 × g = 162
9g = 162

Solving foe Gall's age,
9g = 162
g = 162 ÷ 9
g = 18
8 0
3 years ago
A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
vlabodo [156]

Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

0.3y and 0.5y

If the alloy to be made contains 82.5 g of gold, it means that

0.15x + 0.3y = 82.5 - - - - - - - - - - - -1

The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

0.03x + 0.06y = 16.5

0.03x + 0.075y = 16.95

Subtracting, it becomes

- 0.015y = - 0.45

y = - 0.45/- 0.015

y = 30

Substituting y = 30 into equation 1, it becomes

0.15x + 0.3 × 30 = 82.5

0.15x + 9 = 82.5

0.15x = 82.5 - 9 = 73.5

x = 73.5/0.15

x = 490

6 0
3 years ago
A jar of salsa costs $0.95. Neha bought 9 jars of salsa. How much did Neha spend in all? <br><br> $
olga2289 [7]

Answer:

$8.55

Step-by-step explanation:

$0.95 x 9 jars = $8.55

For every jar Neha buys, she spends $0.95, and buying 9 jars in total, she pays $8.55 in total.

5 0
3 years ago
Read 2 more answers
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