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3 years ago

Which sets of angle measures can form a triangle?

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

Answer:

a, c, and d

Step-by-step explanation:

when you add up the angles of the triangle, you get 180, 150, 180, 90, and then 175. 150 degrees and 175 degrees are not valid triangles.

<em>Hope this helps!</em>

Please mark brainliest, I only need one more!

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Pls help!!!

Lorico [155]

Answer:

Wouldn't the third term be 21?

7 0

3 years ago

The distance dd is 11 mm. What is the perimeter of the figure? Round to the nearest tenth.

Kisachek [45]

Answer:

P = 157.1 mm

Step-by-step explanation:

The perimeter of the figure = Circumference of circle + perimeter of square

We have, d = 11

⇒ Radius = 11 mm

Side of square = 22 cm

So,

$P=2\pi \times 11+4\times 22\\\\P=157.11\ mm\\\\or\\\\P=157.1\ mm$

So, the perimeter of the figure is equal to 157.1 mm.

3 0

3 years ago

What number must you add to complete the square?<br> x^2 + 2x = -1

Andru [333]

$\large\begin{array}{l} \textsf{You must add 1 to complete the square.}\\\\ \textsf{There is a very common special product: (square of a sum)}\\\\ \mathsf{(a+b)^2=a^2+2ab+b^2}\\\\\\ \textsf{Take the given equation:}\\\\ \mathsf{x^2+2x=-1\qquad(i)}\\\\\\ \textsf{The first term is a square (x squared)}\\\\ \textsf{The second term is a product of 2, x and 1.} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{We need to find a proper value for b, so that if we add it to}\\\textsf{the left side of the equation, we get a perfect square.}\\\\ \textsf{So,}\\\\ \begin{array}{cccccccccc} \mathsf{a^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{a}&\!\!\!\cdot\!\!\!&\mathsf{b}&\!\!\!+\!\!\!&\mathsf{b^2}&=\mathsf{(a+b)^2}\\\\ \mathsf{\downarrow}&&&\!\!\!\!\!&\downarrow&\!\!\!\!\!&\downarrow&&\downarrow\\\\ \mathsf{x^2}&\!\!\!+\!\!\!&\mathsf{2}&\!\!\!\cdot\!\!\!&\mathsf{x}&\!\!\!\cdot\!\!\!&\mathsf{1}&\!\!\!+\!\!\!&\mathsf{1^2}&=\mathsf{(x+1)^2} \end{array}\\\\\\ \textsf{Just by comparing the expressions above, we can conclude that}\\\textsf{b must be equal to 1, so we get a perfect square:}\\\\ \mathsf{(x+1)^2=x^2+2x+1} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{Back to (i), adding 1 to both sides:}\\\\ \mathsf{x^2+2x+1=-1+1}\\\\ \boxed{\begin{array}{c} \mathsf{(x+1)^2=0} \end{array}} \end{array}$

$\large\begin{array}{l}\\\\\\ \textsf{If you want to solve this equation for x, you will find}\\\\ \mathsf{x+1=0}\\\\ \mathsf{x=-1}\quad\longleftarrow\quad\textsf{(solution)} \end{array}$

If you're having problems understanding the answer, try seeing it through your browser: brainly.com/question/2112248

$\large\begin{array}{l} \textsf{Any doubt? Please, comment below.}\\\\\\ \textsf{Best regards! :-)} \end{array}$

6 0

3 years ago

Read 2 more answers

You need 4 1/8 yard of blue silk to make one bridesmaids dress and 3 5/8 yards of the same fabric to make another. how many yard

Lisa [10]

I think the answer would be 7 3/4

3 0

3 years ago

a tank can hold up to 500 gallons of water.A gauge reading shows that it is at 80% of its capacity. How many more gallons can it

Paha777 [63]

So we start out by finding out what 80% of 500 is by,

500 * .80 = 400

So if 80% is 400 that means that there is still space available for 100 more gallons!

How the heck did we know that?!?

simple 500- 400= 100

So that leaves us knowing that there are 100 gallons left that can be held!! :)

So your answer is 100 gallons!!

I hope that this helped!

7 0

3 years ago