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
saw5 [17]
1 year ago
8

Find X and QT. The shape is a Rhombus

Mathematics
1 answer:
kompoz [17]1 year ago
8 0

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

<u>When x = -2</u> :

  • QT = (-2)² - 4(-2) - 10
  • QT = 4 + 8 - 10
  • QT = 2

<u>When x = 12</u> :

  • QT = (12)² - 4(12) - 10
  • QT = 144 - 48 - 10
  • QT = 86

The 2 possible answers are :

  • x = -2, QT = 2
  • x = 12, QT = 86
You might be interested in
The quadrilateral obtained by joining the mid points of adjacent sides of a square is?​​
Anit [1.1K]

Answer:

Square

Step-by-step explanation:

the quadrilateral obtained by joining the mid points of adjacent sides of a square is a square

3 0
3 years ago
How can you tell when a pattern shows counting on by tens?
velikii [3]
<span><u><em>Answer:</em></u>
The difference between successive terms is 10

<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)</span>
7 0
3 years ago
Can somebody help me with this?​
Ghella [55]

Answer:

x=11

Step-by-step explanation:

Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:

46+4x=90

4x=44

x=11

Check:

46+4x=90

46+4(11)=90

46+44=90

90=90

6 0
2 years ago
BRAINLIEST!!!<br> What is the scale factor of this dilation?<br> ANSWERS PROVIDED IN SCND IMAGE :)
Anuta_ua [19.1K]
Since PB' = (3/5)*PB, the scale factor is 3/5, the 2nd choice.
6 0
2 years ago
4. Gina deposits $5,692 in a savings account paying 2.73% interest. To the
slava [35]

Answer:

B) 7867

Step-by-step explanation:

I = Prt

5 0
3 years ago
Other questions:
  • The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.
    13·2 answers
  • A line has a slope of 1/4 and passes through the point (4,8). Write the equation of the line in slope intercept form.​
    14·1 answer
  • n a certain county, the number of Charter Schools is eleven less than twice the number of Alternative Schools. There are 35 Char
    11·2 answers
  • Commission of sales is 8% and worker earns $2,560 commission. what are sales?
    14·1 answer
  • How to solve y in -(y+9)=10
    11·1 answer
  • What is the value of x in the equation
    14·2 answers
  • What is your estimate for the total amount of time students in your school spent during this past semester studying for final ex
    6·1 answer
  • Y=6x-3<br> Initial value:
    7·1 answer
  • Loại ngôn ngữ lập trình được đông đảo người lập trình lựa chọn là?
    5·1 answer
  • Find the value of x. Assume that lines which appear to be tangent to the circle are tangent.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!