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ale4655 [162]
3 years ago
5

What are the lengths?

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0
In both the figures we have a Right Angled Triangle.

Two sides of the right angled triangles are given and we are to find the Third side. This can be done using the Pythagoras Theorem, which states:

Hypotenuse² = Base² + Perpendicular²

For 1st figure, we have
Base = 21
Perpendicular = 20

So, 

Hypotenuse² = 20² + 21² = 841
⇒
Hypotenuse = 29 (1st option is correct)

For 2nd Image, we have
Base= 6
Hypotenuse = 10

So, we can write:

10² = 6² + Perpendicular²
Perpendicular² = 64
⇒
Perpendicular = 8 (Option Fourth)
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Solve for x.<br><br> x / 4 ≥ - 8
MariettaO [177]

Answer:

x \geqslant ( - 32) \:  \:  \: \:  or \:  \:  \:  \: ( - 32) \leqslant x

Step-by-step explanation:

\frac{x}{4}  \geqslant  - 8 \\ x \geqslant  - 8 \times 4 \\ x \geqslant  (- 32) \\

3 0
3 years ago
Solve the logarithmic equation. Be sure to reject any value of log (X + 8) = log x + log 8​
swat32

Answer:

x = 8/7

Step-by-step explanation:

log (X + 8) = log x + log 8​

We know that log a + log b = log ab

log (X + 8) = log 8x

Raise each side to base 10

10^log (X + 8) = 10^log 8x

x+8 = 8x

Subtract x from each side​

x+8-x = 8x-x

8 = 7x

Divide by 7

8/7 = 7x/7

8/7 =x

6 0
3 years ago
Read 2 more answers
A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​
sashaice [31]

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

4 0
3 years ago
A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the resu
Paraphin [41]

Answer:


Step-by-step explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick.  Let's actually solve the problem!

Equation A:  (5/3)x + 3y = 12

Equation B:    4x     -  3y = 8

                    ---------------------------

                     (5/3 + 12/3)x = 15        Note how this has eliminated the variable

                            (17/3)x = 15           y.

                                   x = (3/17)(15)

8 0
3 years ago
What is the value of the expression?
Sliva [168]

Answer:

Try entering 2x+3=15 @ x=6 into the text box. After you enter the expression, Algebra Calculator will plug x=6 in for the equation 2x+3=15: 2(6)+3 = 15. The calculator prints "True" to let you know that the answer is right. More Examples Here are more examples of how to check your answers with Algebra Calculator. Feel free to try them now.

Step-by-step explanation:

7 0
3 years ago
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