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Jet001 [13]
3 years ago
12

Anita recorded the daily high and low temperatures as 13°F and-3°F,respectively wrote the difference in temperature,in °F, as a

subtraction equation. Then write the difference in temperatures as an addition equation
Mathematics
1 answer:
Savatey [412]3 years ago
7 0
13 - (-3) = 16 and 13 + 3 = 16. A number minus a negative is the same as addition 
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Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
4 years ago
Read 2 more answers
Find the value of x, y, and z in the rhombus below.
Yuki888 [10]

Solution:

<u>It should be noted:</u>

  • Opposite sides of a rhombus are always equal.
  • Opposite angles of a rhombus are always equal.

<u>Thus:</u>

  • (-y - 10) = 90°
  • 3z - 3 = 90°
  • 4x - 2 = 90°

<u>Finding x:</u>

  • 4x - 2 = 90°
  • => 4x = 90 + 2
  • => 4x = 92
  • => x = 23

<u>Finding y:</u>

  • (-y - 10) = 90°
  • => -y - 10 = 90°
  • => -y = 100
  • => y = -100

<u>Finding z:</u>

  • 3z - 3 = 90°
  • => 3z = 90 + 3
  • => 3z = 93
  • => z = 31
4 0
2 years ago
Read 2 more answers
Fill in the blank
Marina86 [1]

Answer:

2/66 is ur answer

Step-by-step explanation:

because it will give u ur answer

6 0
3 years ago
3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17
marysya [2.9K]

Answer z=2

See picture attached for the math

3 0
2 years ago
Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an
Mashcka [7]

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

7 0
3 years ago
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