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
Alex73 [517]
3 years ago
12

A. Find x. The figure is not drawn to scale.

Mathematics
1 answer:
blondinia [14]3 years ago
3 0
Based on the given figure above, we can conclude that the triangle is an isosceles triangle. By definition, an isosceles triangle is a triangle that has at least two equal sides. Since this is an isosceles triangle, 8x-10 =6x. Now we can solve for x. So,
8x-10 =6x
8x-6x = 10
2x =10
x= 5.
Therefore, the value of x in the figure is 5. Hope this is the answer that you are looking for. 
You might be interested in
Compute the product AB by the definition of the product of​ matrices, where A and A are computed​ separately, and by the​ row-co
chubhunter [2.5K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

First question

   Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right]

Second question

 Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * 5 )+ (3* -2)}\\{(1 * 5)+ (4 * -2)}\\{(5 * 5) + (8*-2)}\end{array}\right]  = \left[\begin{array}{ccc}{-11}\\{-3}\\{29}\end{array}\right]

 Third question

  Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right]

 Fourth question

  Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * -3 )+ (3* 4)}\\{(1 * -3)+ (4 * 4)}\\{(5 * -3) + (8*4)}\end{array}\right]  = \left[\begin{array}{ccc}{15}\\{13}\\{-23}\end{array}\right]

Fifth question

  The correct option is A

Step-by-step explanation:

From the question we are told that

  The matrix  A  is  A = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]

   The matrix B is   B = \left[\begin{array}{ccc}5&{-3}\\{-2}&4\end{array}\right]

The first question is to set up the product Ab_1  , where b_1 is the first column of matrix B, this shown as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right]

The second question is to calculate Ab_1 , this is evaluated as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}5\\-2\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * 5 )+ (3* -2)}\\{(1 * 5)+ (4 * -2)}\\{(5 * 5) + (8*-2)}\end{array}\right]  = \left[\begin{array}{ccc}{-11}\\{-3}\\{29}\end{array}\right]

The third question is to set up the product Ab_2  , where b_2 is the second column of matrix B, this shown as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right]

The fourth question is to calculate Ab_2 , this is evaluated as

          Ab_1 = \left[\begin{array}{ccc}{-1}&{3}\\ 1 &4 \\5 &8\end{array}\right]\left[\begin{array}{ccc}-3\\4\\\end{array}\right] = \left[\begin{array}{ccc}{(-1 * -3 )+ (3* 4)}\\{(1 * -3)+ (4 * 4)}\\{(5 * -3) + (8*4)}\end{array}\right]  = \left[\begin{array}{ccc}{15}\\{13}\\{-23}\end{array}\right]

The fifth question is to determine the numerical expression for the first entry in the first column of AB using the row-column rule and from the calculation of Ab_1 we see that it is

      {(-1 * 5 )+ (3* -2)}

5 0
3 years ago
The isosceles triangle shown has a height of 7 meters and base
antiseptic1488 [7]

Answer:

91

Step-by-step explanation:

I just Multiplied 13 x 7 to get 91... I hope it helps but if its wrong I am very sorry

5 0
3 years ago
The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch
Anna [14]

Answer:

Width of the box = 18.97 inches

Step-by-step explanation:

Length of the bat = 36 inches.

That means length of the diagonal of the bat (BC) = 36 inches

By applying Pythagoras theorem in right triangle BDC,

BC² = BD² + CD²

BC² = (30)² + w² -------(1)

BY applying Pythagoras theorem in right triangle ABC,

AC² = AB² + BC²

(36)² = 6² + BC²

By substituting the value of BC from equation (1),

(36)² = 6² + (30)² + w²

1296 = 36 + 900 + w²

w² = 1296 - 936

w = √360

w = 18.97 inches

7 0
3 years ago
Which step shows the result of applying the subtraction property of equality?
Scilla [17]

Answer:

First step

Step-by-step explanation:

Subtract the 4 to the other side making the equation

(12x+8)+4=3

12x+8=-1

12x=-9

x=-3/4

7 0
3 years ago
Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1
Leto [7]

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

5 0
2 years ago
Other questions:
  • Scenario for y=x+5 and y=2x+2
    5·1 answer
  • The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
    6·2 answers
  • Which two values of x are roots of the polynomial below x^2 - 11x + 13
    8·2 answers
  • miley is trying to solve the following riddle: "the sum of three consecutive integers is 84. what are the integers?"
    10·1 answer
  • The base of f(x)=2^x is
    14·1 answer
  • A diver standing on a boat, 5 ft above sea level, looks straight down and sees coral that is 18 ft below sea level. Let distance
    15·1 answer
  • Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mi
    6·1 answer
  • Help me plz I need to finish these test corrections toooddayyyy
    15·1 answer
  • 4(x + 2) - 1/2x = 22 solve the equation
    15·1 answer
  • Given that MATH is a parallelogram, solve for c.<br>A. 74<br>B. 84<br>C. 94<br>D. 104​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!