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Feliz [49]
3 years ago
7

The sum of the measures of the angles shown is 90°.

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = \frac{84}{12}

x = 7

Therefore, by solving the equation value of x will be 7.

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VLD [36.1K]

Answer:

(D)

Step-by-step explanation:

4 0
3 years ago
Find the GCF of 38, 76, and 114.
valentina_108 [34]
  • Answer:

<em>GCF = 38</em>

  • Step-by-step explanation:

<em>38 = 2×19</em>

<em>76 = 4×19 = 2²×19</em>

<em>114 = 2×3×19</em>

<em>GCF = 2×19 = 38</em>

3 0
3 years ago
Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
4. Two unbiased coins are tossed. Calculate the probability that
diamong [38]

Answer:

Step-by-step explanation:

3 coins make for 8 possible outcomes {HHH,HHT,HTH,THH,HTT,THT,TTH,TTT}

4 Possible outcomes conatin 2 or more heads.

Probability (At least 2 Heads) = Favourable outcomes/Total possible outcomes

                                               = 4/8 = 1/2 = 0.5 (50%)

7 0
3 years ago
Read 2 more answers
Please help!!!!
Yakvenalex [24]

Answer:

  D.  X-7

Step-by-step explanation:

The table tells you that when x=7, g(x) = 0. In order for g(7) to be zero, at least one factor must be zero when x=7. The only factor on the list that is zero when x=7 is (x-7).

6 0
3 years ago
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