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babymother [125]
3 years ago
12

CAN SOMEONE HELP WITH THE QUESTION IN THE IMAGE.

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

8.4

Step-by-step explanation:

Since the four horizontal lines are parallel, they each form congruent corresponding angles with the transversal line SP.  Since PQ = QR = RS, that means the vertical distances between the parallel lines is equal.

Since the parallel lines are equally spaced, and form congruent angles with the transversal line TU, then TX = XZ = ZU = 2.8.

So the length of TU is 2.8 + 2.8 + 2.8 = 8.4.

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schepotkina [342]
a coordinate plane is a two-dimensional number line where the vertical line is called the y-axis and the horizontal is called the x-axis. And a number line is
a line on which numbers are marked at intervals, used to illustrate simple numerical operations. So how are the related........?
8 0
3 years ago
Simplify the expression<br> (1 + 1/x)(1 - 2/x+1)(1 + 2/x-1)
valentinak56 [21]

Answer: 4(×+1) (×-1)

Step-by-step explanation:

3 0
2 years ago
What is community property and associative property
hichkok12 [17]
It's "commutative property," which says that (for addition/multiplication) order of the operator doesn't matter. For eg, 3 * 5 = 5 * 3. 

Associative property (again, of multiplication and addition) means that it doesn't matter how you solve an expression if the same operand is used and some numbers are grouped. For eg. 3 * (5 * 4) = (3 * 5) * 4.
4 0
3 years ago
Amuseumcharges forgeneraladmission and exhibitions. Admission and 3 exhibitionscosts $45. Admission and 5 exhibitionscosts $65.
leonid [27]

Answer:

The price of the admission is 15.

Step-by-step explanation:

From the information given, you can write the following equations:

a+3e=45 (1)

a+5e=65 (2), where:

a is the admission cost

e is the exhibition cost

First, you can solve for a in (1):

a=45-3e (3)

Second, you can replace (3) in (2):

45-3e+5e=65

45+2e=65

2e=65-45

2e=20

e=20/2

e=10

Finally, you can replace the value of e in (3):

a=45-3e

a=45-3(10)

a=45-30

a=15

According to this, the price of the admission is 15.

3 0
3 years ago
In triangle KLM, if K is congruent to L, KL = 9x - 40, LM = 7x - 37, &amp; KM = 3x + 23, find x &amp; the measure of each angle.
Dennis_Churaev [7]

Answer: x = 15, ∠K = 45.7°, ∠L = 45.7°, ∠M = 88.6°

<u>Step-by-step explanation:</u>

Since ∠K ≅ ∠L, then ΔKLM is an isoceles triangle with base KL

 KM ≅ LM

3x + 23 = 7x - 37

       23 = 4x - 37

       60 = 4x

        15 = x

KM = LM = 3x + 23

               = 3(15) + 23

               = 45 + 23

               = 68

KL = 9x - 40

    = 9(15) - 40

    = 135 - 40

    = 95

Next, draw a perpendicular bisector KN from K to KL. Thus, N is the midpoint of KL and ΔMNL is a right triangle.

  • Since N is the midpoint of KL and KL = 95, then NL = 47.5
  • Since ∠N is 90°, then NL is adjacent to ∠l and ML is the hypotenuse

Use trig to solve for ∠L (which equals ∠K):

cos ∠L = \frac{adjacent}{hypotenuse}

cos ∠L = \frac{47.5}{68}

      ∠L = cos⁻¹ (\frac{47.5}{68})

      ∠L = 45.7  

Triangle sum Theorem:

∠K + ∠L + ∠M = 180°    

45.7 + 45.7 + ∠M = 180

       91.4     + ∠M = 180

                      ∠M = 88.6

       

7 0
3 years ago
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