One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?a.) 2.5 inches b.) 5.0 inches c.) 7.1 inches d.) 9.8 inches
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The answer is C. 7.1 inches
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Help!! Math question ASAP!!!!
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Answer:
x = 10
Step-by-step explanation:
First look at the big overall triangle.
It has a right angle and another angle of 44; therefore the missing angle is (since the sum of angles inside a triangle is 180)
180 - 90 - 44 = missing angle
missing angle (top) = 46; now the angle of a straight line is 180 and they give you 56° which has a supplementary angle of 180 - 56 = 124°.
Now we know that the triangle that include the x has angles 46° (missing top angle), and supplementary angle of 124°. Therefore
x = 180 - 46 - 124
x = 10
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Sn = a₀×(rⁿ -1)/(r -1)
you have
S₅ = 10×((1/5)⁵ -1)/(1/5 -1)
= 10×(-3124/3125)/(-4/5)
= 10×781/625
S₅ = 1562/125
_____
Or, you can add up the terms
10 + 2 + 2/5 + 2/25 + 2/125 = (1250 +250 +50 +10 +2)/125
= 1562/125
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Answer: The GCF of 5 and 40 is 5
Step-by-step explanation:
The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. To find the GCF of 5 and 40, we can list the factors of each number and find their common factors.
The factors of 5 are 1 and 5. The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
To find the common factors, we can compare the factors of 5 and 40:
- Both 5 and 40 have 1 as a factor.
- However, 5 is not a factor of 40.
Therefore, the GCF of 5 and 40 is 1, as it is the largest number that divides both 5 and 40 evenly.
Another way to find the GCF is by using prime factorization. Let's find the prime factorization of 5 and 40:
- The prime factorization of 5 is 5.
- The prime factorization of 40 is 2 * 2 * 2 * 5.
To find the GCF, we take the common prime factors with the lowest exponents. In this case, the common prime factor is 5.
So, the GCF of 5 and 40 is 5.
Final answer:
The GCF of 5 and 40 is 5.
Explanation:
To find the GCF of 5 and 40, we can list the factors of each number and find the largest common factor.
Factors of 5: 1, 5
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
The common factors of 5 and 40 are 1 and 5. The largest common factor is 5.
Therefore, the GCF of 5 and 40 is 5.
Learn more about finding the greatest common factor (gcf) here:
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x=3 is your answer. This is because it only crosses the x-axis and this occurs at positive 3. y=3 on the other hand would be a horizontal line that only touches positive 3 on the y-axis.
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Δ DMU & Δ MPA both are right triangles.
DMU: short leg = 12 ; hypotenuse = 15
MPA: short leg = 0.5x + 6 ; hypotenuse = 2y - 3
x = 12 ; y = 9
12 = 0.5(12) + 6
12 = 6 + 6
12 = 12
15 = 2y - 3
15 = 2(9) - 3
15 = 18 - 3
15 = 15
SAS postulate states that if 2 sides and 1 angle of 1 triangle is congruent to the 2 sides and 1 angle of another triangle. Then, these triangles are congruent.
Since sides are already computed, you need to look for the congruent angles of each triangle. In this case, since both are right triangles, its congruent angle is 90°