Zoe visits a departmental store to pick a can of salted mixed nuts. A 15.25 oz can of

In ∆DFG, m∠D = 78o and m∠F = 32o. Which lists the sides in order from longest to shortest?

ioda

Answer:

Side FG, Side DF, Side DG

Step-by-step explanation:

The angles of a triangle add up to 180° and since we know 2 of the angles add up to 110° the missing ∠G can be found by subtracting

180°-110°=70°

The opposite side of the largest angle is the largest side. The opposite is also true.

Since the angle from greatest to least is ∠D, ∠G, ∠F then the sides from greatest to least is Side FG, Side DF, Side DG

8 0

2 years ago

An architect is designing a house in which a 104 square foot room and a 130 square foot room share a wall what is the greatest p

Alla [95]

Both rooms share a common side whose dimension is unknown. Call it x.

Then, the area of both squares have x as common factor.

So, x is the greatest common factor of 104 and 130.

You should know how to calculate the greatest common factor of two integers.

Just find the prime factors and choose the common factors raised to the lowest exponent.

104 = (2^3) (13)

130 = (2) (5)(13)

=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.

Answer: 26

8 0

3 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

8 0

3 years ago

What is the vertex and zeros of the function f(x)=x2−4x+3

loris [4]

Answer:

The vertex is (2,-9)

Step-by-step explanation:

7 0

3 years ago

HELP ASAP!!! What is the difference between a prism and a pyramid? How does finding their surface area differ?

pentagon [3]

Answer:

The sides are triangles. The total number of faces of a pyramid is one more than the number of edges of the base polygon. A prism has two bases and rectangular sides.To find the surface area of a pyramid, find the area of the base and the areas of all the triangular sides and add them together.

Step-by-step explanation:

sorry if im wrong

7 0

3 years ago