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Elanso [62]
3 years ago
8

Insert parentheses to make these equalities correct 1+2·3+4·5=65

Mathematics
1 answer:
vichka [17]3 years ago
5 0

Answer:

((1+2)*3+4)*5

Step-by-step explanation:

1+2×3+4×5=65

-----------------------

  • ((1+2)×3+4)×5=
  • (3×3 + 4)×5 =
  • (9 + 4)×5 =
  • 13×5 = 65
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Can someone help me and explain what to do here?
Vesna [10]

Answer:

 ∠STU = 69°

Step-by-step explanation:

The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.

Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.

__

Using these two relationships together, we realize angle V is twice the measure of angle T:

  ∠SVU = 2×∠STU

  18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles

  18x +12° = 36x -114° . . . . . eliminate parentheses

  126° = 18x . . . . . . . . . . . add 114°-18x

  ∠STU = 18x -57° = 126° -57°

 ∠STU = 69°

_____

<em>Additional comment</em>

You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)

__

<em>Alternate solution</em>:

  (18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.

  69° = 18x -57° . . . . . simplify. This is the answer to the problem.

4 0
3 years ago
What could be the next statement that Ivan makes his proof?
natali 33 [55]

Answer: Choice A) Triangle ABC is similar to triangle ACD by AA

AA stands for Angle Angle. Specifically it means we need 2 pairs of congruent angles between the two triangles in order to prove the triangles similar. Your book might write "AA similarity" instead of simply "AA".

For triangles ABC and ACD, we have the first pair of angles being A = A (angle A shows up twice each in the first slot). The second pair of congruent angles would be the right angles for triangle ABC and ACD, which are angles C and D respectively.

We can't use AAS because we don't know any information about the sides of the triangle.

7 0
2 years ago
A store has apples on sale for 28.00 for 8 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $112.0
mrs_skeptik [129]

Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

7 0
3 years ago
What is the volume of the following rectangular prism?
Cerrena [4.2K]

Answer:

73.5

Step-by-step explanation:

Step 1: 21/2 divided by 2 = 21/4

Step 2: 21/4 times 21/4 times 8/3 =

Answer: 73.5

The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.

3 0
3 years ago
Show work and explain with formulas.
Juli2301 [7.4K]

20 Answer: a₁ = 4

<u>Step-by-step explanation:</u>

a_n=324,\ r=3,\ n=5\\\\a_n=a_1 \cdot r^{n-1}\\\\324=a_1\cdot 3^{5-1}\\\\\dfrac{324}{3^4}=a_1\\\\\dfrac{324}{81}=a_1\\\\\large\boxed{4}=a_1

21 Answer: n = 13

<u>Step-by-step explanation:</u>

a_n=\dfrac{1}{64},\ a_1=64,\ r=\dfrac{1}{2}\\\\a_n=a_1 \cdot r^{n-1}\\\\\dfrac{1}{64}=64\cdot \bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{64\cdot 64}=\bigg(\dfrac{1}{2}\bigg)^{n-1}\\\\\dfrac{1}{2^6\cdot 2^6}=\dfrac{1}{2^{n-1}}\\\\6+6=n-1\\\\\large\boxed{13}=n

22 Answer: n = 5

<u>Step-by-step explanation:</u>

a_n=48,\ a_1=1875\ r=\dfrac{2}{5}\\\\a_n=a_1 \cdot r^{n-1}\\\\48=1875\cdot \bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{48}{1875}=\bigg(\dfrac{2}{5}\bigg)^{n-1}\\\\\dfrac{16}{625}=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\\bigg(\dfrac{2}{5}\bigg)^4=\bigg(\dfrac{2}{5}\bigg)^{n-1}}\\\\4=n-1\\\\\large\boxed{5}=n

6 0
3 years ago
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