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nadya68 [22]
3 years ago
13

The value of AD is: A. 27 B. 28 C. 26

Mathematics
1 answer:
kumpel [21]3 years ago
7 0

Answer:

27

Step-by-step explanation:

Angles ABD and DBC are congruent (they are marked as such in the diagram).  That means that the sides across from these angles are also congruent:  AD = CD.  Therefore, we set them equal to each other:

3x = 2x + 9 and

x = 9.

That means that 3x --> 3(9) = 27

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The product of two consecutive even integers is 224. what are the 4 integers?
alexgriva [62]

Answer:

-16 and -14

14 and 16

Step-by-step explanation:

Let's say x is the smaller integer and x+2 is the larger integer.  Their product is 224.

x (x + 2) = 224

x² + 2x = 224

Complete the square and solve for x.

x² + 2x + 1 = 225

(x + 1)² = 225

x + 1 = ±15

x = -16 or 14

x + 2 = -14 or 16

So the integers are either -16 and -14, or 14 and 16.

8 0
3 years ago
Read 2 more answers
What temperature is nine degrees higher than -3 degrees c
vesna_86 [32]
I think its 6 degrees c
5 0
3 years ago
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5/6÷5=___<br><br>3/7÷6=___<br><br>5/8÷8=___<br><br>15/8÷5​=___
alexandr1967 [171]

Answer:

1/6

1/14

5/64

3/8

Step-by-step explanation:

Easiest and fastest way to evaluate these is to plug it into a calc.

7 0
3 years ago
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a partic
aliina [53]
Y = -2.8x +69.4

Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
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3 years ago
If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?
Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0
3 years ago
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