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eduard
3 years ago
5

What is the answer to this----->7/8-5/6

Mathematics
2 answers:
AfilCa [17]3 years ago
4 0
7/8 = 21/24
5/6= 20/24
21/24 - 20/24 = 1/24
dlinn [17]3 years ago
3 0
<span>7/8-5/6
Multiply until both fractions have the same common denominator.
21/24 - 20/24
Subtract the numerators but NOT the denominators.
Final Answer: 1/24</span>
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In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two tr
Deffense [45]

XZ ≅ EG and YZ ≅ FG is enough to make triangles to be congruent by HL. Option b is correct.

Two triangles ΔXYZ and ΔEFG, are given with Y and F are right angles.

Condition to be determined that proves triangles to be congruent by HL.

<h3>What is HL of triangle?</h3>

HL implies the hypotenuse and leg pair of the right-angle triangle.

Here, two right-angle triangles ΔXYZ and ΔEFG are congruent by HL only if their hypotenuse and one leg are equal, i.e. XZ ≅ EG and YZ ≅ FG respectively.

Thus, XZ ≅ EG and YZ ≅ FG are enough to make triangles congruent by HL.

Learn more about HL here:

brainly.com/question/3914939

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In ΔXYZ and ΔEFG, angles Y and F are right angles. Which set of congruence criteria would be enough to establish that the two triangles are congruent by HL?

A.

XZ ≅ EG and ∠X ≅ ∠E

B.

XZ ≅ EG and YZ ≅ FG

C.

XZ ≅ FG and ∠X ≅ ∠E

D.

XY ≅ EF and YZ ≅ FG

8 0
1 year ago
Explain how the quotient of powers was used to simplify this expression
Anna71 [15]

Answer:

See explanation

Step-by-step explanation:

Given:

5⁴/25 = 5²

25 = 5²

Then,

5⁴ / 25

= 5⁴/5²

Note:

• multiplication sign means addition in indices

• Division sign means subtraction in indices

Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers

So,

5⁴/5²

= 5^(4 - 2)

= 5^(2)

= 5²

Therefore,

5⁴ / 25 = 5²

6 0
3 years ago
Measures of dispersion are used in finance as a proxy for risks. explain​
Bad White [126]

Answer:

Kindly check explanation

Step-by-step explanation:

Measures of dispersion are used to determine the variability of data points of samples ; it measures how much a given data deviates or behaves about the mean value or point. Measures of dispersion or variability include standard deviation and variance.

In finance, data with high degree of vatibalitu are considered as being unstable because this shows a high level of uncertainty about the average confidence of the output for such investment or business. Hence. Highly variable investments are cindisderdd volatile and risky

4 0
2 years ago
Help me please vhvgvgvgvvgvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Lubov Fominskaja [6]

Opens Up

Vertex:  

(2.0)

Focus:  

( 2 1/4

Axis of Symmetry:  

x =2

Step-by-step explanation:

6 0
3 years ago
A passbook saving account has a rate of 6%. find the effective annual yield, rounded to the nearest tenth of a percent, if the i
irinina [24]

Answer:

a,b,c,d,e,f) The effective annual yield is 1.1P-P = 0.1P = 10%P.

Step-by-step explanation:

This is a compound interest problem

Compound interest formula:

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

A: Amount of money(Balance)

P: Principal(Initial deposit)

r: interest rate(as a decimal value)

n: number of times that interest is compounded per unit t

t: time the money is invested or borrowed for.

a)

r = 0.06

n: 2(semianually means that the interest is compounded twice a year).

t = 1.

A = P(1 + \frac{0.06}{2})^{2*1}

A = 1.1P

The acount started the year with P, and it ended with 1.1P, so the effective annual yield is 1.1P-P = 0.1P = 10%P.

b)

Now we have n = 3, since if the interest is compounded quarterly, is is compounded three times a year(a year has 3 quarters). So:

A = P(1 + \frac{0.06}{3})^{3*1}

A = 1.1P

The effective annual yield is 1.1P-P = 0.1P = 10%P.

c) Now we have n = 12, since the interest is compounded monthly, and there are 12 months a year. So:

A = P(1 + \frac{0.06}{12})^{12*1}

A = 1.1P

The effective annual yield is 1.1P-P = 0.1P = 10%P.

d) Since the interest is compounded daily, and we assume 360 days in a year, n = 360. So:

A = P(1 + \frac{0.06}{360})^{360*1}

A = 1.1P

The effective annual yield is 1.1P-P = 0.1P = 10%P.

e) The interest is compounded 1000 times a year, so n = 1000

A = P(1 + \frac{0.06}{1000})^{1000*1}

A = 1.1P

The effective annual yield is 1.1P-P = 0.1P = 10%P.

f) The interest is compounded 100000 times a year, so n = 100000

A = P(1 + \frac{0.06}{100000})^{100000*1}

A = 1.1P

The effective annual yield is 1.1P-P = 0.1P = 10%P.

6 0
3 years ago
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