1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddika [18.5K]
3 years ago
11

Suppose a triangle has sides a, b, and c, and that a2 + b2 < c. Let o be the

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

Step-by-step explanation:

if a^2 +b^2 <c^2,

then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2

You might be interested in
A pharmacy technician at Walgreens put 2.288 ounces of
aleksandrvk [35]
104 bottles 2.288 divided by .022 equals 104
6 0
4 years ago
Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or a
White raven [17]
Check the picture below

now, we know is a parallelogram, so the diagonals will bisect

looking at the picture, the interior angles are not right-angles, and thus is not a rectangle, and is not a square either, due to the same reason

is it a rhombus?  well, a rhombus, is a parallelogram, that's "slanted" per se, but regardless of how slanted it may be, the sides are all equal

now, we don't need to check the length of both pairs, just one of the segments of each pair, let's check only then JK and KL, the ones in red in the picture, since each pair of segments are twin, if JK = KL, then that means all sides are equal

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;J&({{-7 }}\quad ,&{{ -2}})\quad &#10;%  (c,d)&#10;K&({{ 0}}\quad ,&{{ 4}})\\\\&#10;K&({{ 0}}\quad ,&{{ 4}})\quad &#10;%  (c,d)&#10;L&({{ 9}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;JK=\sqrt{[0-(-7)]^2+[4-(-2)]^2}\implies JK=\sqrt{(0+7)^2+(4+2)^2}&#10;\\\\\\&#10;JK=\sqrt{7^2+6^2}&#10;\\\\\\&#10;KL=\sqrt{(9-0)^2+(2-4)^2}\implies KL=\sqrt{9^2+(-2)^2}

now... another characteristic of a rhombus is, the diagonals, meet at right-angle, that means KM ⟂ JL

and that simply means, if you get the slope of KM and the slope of JL, the product of their slope is -1

\bf \begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;K&({{ 0}}\quad ,&{{ 4}})\quad &#10;%   (c,d)&#10;M&({{ 2}}\quad ,&{{ -4}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-4-4}{2-0}

\bf -------------------------------\\\\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%   (a,b)&#10;J&({{ -7}}\quad ,&{{ -2}})\quad &#10;%   (c,d)&#10;L&({{ 9}}\quad ,&{{ 2}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies &#10;\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-(-2)}{9-(-7)}\implies \cfrac{2+2}{9+7}

then multiply both slopes, if their product is -1, that means, they're perpendicular to each other, and it IS a rhombus only, then.

7 0
3 years ago
Read 2 more answers
Additive inverse of 1 1/4.
vampirchik [111]

Answer:

Step-by-step explanation:

4/11

3 0
3 years ago
How many ounces in 5 gallons?
liraira [26]
The answer is letter c, also just a tip, all i had to do was ask siri :)
3 0
3 years ago
Read 2 more answers
The dimensions of the base of Box 1 are x by 3x. The base area of Box 1 is: 3x 3x2 3x3 4x
Lunna [17]
<h3>The base area of box 1 is 3x^2\ square\ units</h3>

<em><u>Solution:</u></em>

Given that,

The dimensions of the base of Box 1 are x by 3x

Length = x

Width = 3x

To find: base area of box 1

<em><u>The base area is given as:</u></em>

base\ area = length \times width\\\\base\ area = x \times 3x\\\\base\ area = 3x^2

Thus base area of box 1 is 3x^2\ square\ units

4 0
3 years ago
Read 2 more answers
Other questions:
  • Monarch butterflies flap their wings about 12 times a second in
    5·1 answer
  • Which of the following is a solution to this inequality? y&gt;1/2x+2
    12·1 answer
  • Linda uses thread to sew the booklets together, she cuts 6 inches of thread for each booklet. How many booklets can she stitch w
    14·2 answers
  • how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10f
    6·1 answer
  • A bottle of soda had 4 2/7 of the daily recommended sugar . If u wete to drink 1/2 of the water ,how much of the daily recommene
    7·1 answer
  • If two equations are graphed, how can you find the solution to the system of equations?
    12·1 answer
  • F(x)=4x-1 G(x)=2x+3<br> Find (fog)(2)
    12·1 answer
  • Match the expression with its name 9x^4-3x+4
    5·1 answer
  • A man walk for 2hr at 6km/h.he then cycled for a certain time at 16km/h.if he traveled 36km all together for how many hours did
    5·1 answer
  • Angela wants to know how many families in her neighborhood plan to attend the parade. She puts all 120 of the neighborhood addre
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!