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2 years ago

Can you please help me with the problem in the image below?

Mathematics

1 answer:

serg [7]2 years ago

4 0

Given data:

m∠P = m∠R and TP = SR

To prove that ΔQTP ≅ ΔQSR:

Consider ΔQTP and ΔQSR,

m∠P = m∠R (given angle)

TP = SR (given side)

m∠Q = m∠Q (common angle)

∴ ΔQTP ≅ ΔQSR (by ASA congruence rule)

Hence ΔQTP and ΔQSR are congruence triangles by Angle - Side - Angle congruence rule.

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Solve: log(2)(3x + 8) = 5 Which is an equivalent equation?

Rzqust [24]

You can just simplify to make an equivalent equation:

(2)(3x + 8) = 5 ⇒ 6x + 16 = 5

Answer:

$\boxed{\bf~6x + 16 = 5}$

Hope it helped,

BioTeacher101

(If you have any questions feel free to ask them in the comments)

8 0

3 years ago

Read 2 more answers

Question 7 )

soldier1979 [14.2K]

Answer:

Tony has 45 dollars

Milan has 15 dollars

Lucy has 25 dollars

Explanation:

Let x represent the amount of money Milan has in his wallet.

TONY: 3x

MILAN: x

LUCY: x+10

Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.

3x+x+x+10=85

5x+10=85

5x=75

x=75/5

x=15

Tony has 45 dollars (3*15=45)

Milan has 15 dollars (x=15)

Lucy has 25 dollars (10+15=25)

7 0

2 years ago

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

3 years ago

What is 5 to the power of 6 over 5 to the power of 2

AlekseyPX

Answer:

625

Step-by-step explanation: 5^6/5^2

multiply 5^6 and than devide your answer with 5^2

6 0

2 years ago

Read 2 more answers

Given m || n, find X....PLEASE HELP ASAP....SOS...SUCK AT MATH PLEASE HELP ME!!

nexus9112 [7]

The angles with measurements equal to 3x+3 and 2x+22 should add up to 180°. This is because the angle which measures 2x+22 and the angle that is adjacent to the angle measuring 3x+3 are supposed to be congruent. If we mathematically translate the concept above, this can be expressed as,
3x + 3 + 2x + 22 = 180

Combining like terms,
(3x + 2x) + (3 + 22) = 180
Simplifying,
5x + 25 = 180

Transpose the constants to only one side of the equation,
5x = 155
Divide the equation by 5.
x = 31

ANSWER: x = 31

5 0

2 years ago