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
Setler [38]
3 years ago
9

Look at the rectangle and the square: Ada says that the length of diagonal SQ is two times the length of diagonal OM. Is Ada cor

rect? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Mathematics
1 answer:
Musya8 [376]3 years ago
7 0

Answer:

No, she is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Rectangle,

{qs}^{2}  =  {rs}^{2}  +  {qr}^{2}

{qs}^{2}  =  {16}^{2}  +  {8}^{2}  = 320

qs =  \sqrt{320}  = 17.9 \: inches

Square,

{om}^{2}  =  {lo}^{2}  +  {lm}^{2}

{om}^{2}  =  {8}^{2}  +  {8}^{2}  = 128

om =  \sqrt{128}  = 11.3 \: inches

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

17.9 \div 11.3 = 1.58 \: (not \: equals \: to \: 2)

You might be interested in
Need help ASAP! Show work if you can, it’s fine if not tho!
Elza [17]

Answer:

Step-by-step explanation:

(2(6) - 3(10)^2)/(|6 - 10)|

(12 - 300)/|-4|

-288/4 = -72

answer is c

3 0
3 years ago
Read 2 more answers
Joey is 5 years less than three times the age of his son. Joey is 43 years old.
Vikki [24]

Answer:

amogus

Step-by-step explanation:

6 0
3 years ago
(15) Geometry Help plz
MakcuM [25]
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4

Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64

Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well

Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.

The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)

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

Answer: 
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees

6 0
4 years ago
The prism has a surface area of 1312 mm2.
777dan777 [17]
So each dimention is 32 by 8 by 10
so the surface area=2 times(8 times 10)+(2 times (32 times 10))+(2 times (8 times 32))=2 times 80+2 times 320+2 times 256=1312

if halved
just divide each by 2
(2 times 4 times 5)+(2 times 16 times 5)+(2 times 4 times 16)=(2 times 20)+(2 times 80)+(2 times 64)=40+160+128=328
the new surface area is 328 mm^2
4 0
3 years ago
Write the following sentence as a conditional.
Serjik [45]

Answer:

If a conditional statement is reached using inductive reasoning, then it is a conjecture

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Slope of (9,-3) and (9,-8)
    15·2 answers
  • Item 16 A scale drawing of a triangular sign has a scale factor of 1:8. Which statements are true? The ratio of the area of the
    6·1 answer
  • Schools, peers, and co-workers are __________ because they influence or shape our self-concept, attitudes, and behaviors.
    12·2 answers
  • Help me in algebra please I need it done 100% correct only :(
    5·1 answer
  • Evaluate 3x - y if x equals negative 2 and Y equals negative 5​
    7·1 answer
  • 3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together
    9·1 answer
  • #3 need help asap will give brainly
    5·1 answer
  • What is the equation of the line that is parallel to line y = -3x – 8 and passes
    5·2 answers
  • Are you the person you want to be?<br><br> i know it's not math but please answer
    11·1 answer
  • An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!