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4 years ago

(2\sqrt(5)+3\sqrt(7))^(2)

Mathematics

1 answer:

Natali5045456 [20]4 years ago

5 0

(73+12sqrt(35))/35. You can expand it and then simplify

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DanielleElmas [232]

60! 20 times 3 is 60

7 0

3 years ago

Taya2010 [7]

The measure of each angles are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.

We have given that Δ DEF has

m∠D = m∠F - 14

And

m∠E = 10 + 2(m∠F)

We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E + m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

m∠F - 14 + 10 + 2m∠F +m∠F

4(m∠F) - 4 = 180

4(m∠F) = 180 + 4

4(m∠F) = 184

(m∠F) = 46°

m∠D = 46° - 14

m∠D = 32°

m∠E = 10 + 2(m∠F)

m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

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3 0

2 years ago

Find the coordinates of the midpoint of the segment whose endpoints are h(6,4) and k(2,8)

ozzi

Answer:

$(4,6)$

Step-by-step explanation:

we know that

The formula to calculate the coordinates of the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have that

The coordinates of hk

$h(6,4), k(2,8)$

substitute in the formula to calculate the midpoint

$M(\frac{6+2}{2},\frac{4+8}{2})$

$M(\frac{8}{2},\frac{12}{2})$

$M(4,6)$

7 0

3 years ago

Read 2 more answers

Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2 p

Sholpan [36]

Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is $\sqrt{(6+9)^2+(-2+7)^2}$ which equals $5\sqrt{10}$ .

The ratio of RS to ST is 3:2, so we can write the distance of RS as $(5\sqrt{10} / 5) * 3$ which equals $3\sqrt{10}$ . The distance of ST is then $2\sqrt{10}$ .