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katrin [286]
3 years ago
13

Find the value of t.

Mathematics
2 answers:
zaharov [31]3 years ago
5 0

Answer:

t =12 m

Step-by-step explanation:

We can use similar triangles and proportions to solve this problem.

Put the smaller triangle on top and the larger triangle on bottom

12         9

------ = -------

16          t

Solve by using cross products

12 t = 9*16

12 t =144

Divide by 12

12t/12 = 144/12

t = 12

Dmitriy789 [7]3 years ago
5 0

\text{We have similar right triangles (Acute Angle Similarity)}\triangle BAC\sim\triangle BED\\\\\dfrac{BA}{AC}=\dfrac{BE}{ED}\\\\\text{We have}\\\\BA=12m,\ AC=9m,\ BE=16m,\ ED=t.\\\\\text{Substitute:}\\\\\dfrac{12}{9}=\dfrac{16}{t}\qquad\text{cross multiply}\\\\12t=(9)(16)\\\\12t=144\qquad\text{divide both sides by 12}\\\\\boxed{\boxed{t=12\ m}}. Therefore the legs make proportions.


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Step-by-step explanation:

Apply the AB rule, Adjust the fractions based on LCM, then you want to apply the a/b fraction rule which would allow you to do -15+23/24 which gives you 17/24. Hope this helps!

3 0
4 years ago
Read 2 more answers
Evaluate a^4 - 6b + 3b ÷ ac for a=-2, b=6, c=3
UNO [17]

Answer:

-47

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

a⁴ - 6b + 3b ÷ ac

<em>a</em> = -2

<em>b</em> = 6

<em>c</em> = 3

<u>Step 2: Evaluate</u>

  1. Substitute in variables:                                                                                     (-2)⁴ - 6(6) + 3(6) ÷ (-2)(3)
  2. Exponents:                                                                                                        16 - 6(6) + 3(6) ÷ (-2)(3)
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  6. Subtract:                                                                                                            -47
8 0
3 years ago
Which expression shows the result of applying the distributive property to 14(−3n+32)14(−3n+32) ?
strojnjashka [21]
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blagie [28]

Answer:

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