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topjm [15]
3 years ago
15

(30 points)

Mathematics
1 answer:
azamat3 years ago
3 0

Answer:

C.

Step-by-step explanation:

interior angles for ABCD is 360° and for ABO(triangle above) is 180°

from triangle,

you will get angle for OBA which is 180° - 38° - 90° = 52°

from angle B, we know that, straight line is 180°.

so,

180° = 52° +y- 12°

y = 140°

so, we can calculate x.

360° = 90° + 90° + 128° + x

x = 52°

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3a
Jet001 [13]

Answer:

Option D is correct.

VS = 20 units.

Step-by-step explanation:

The complete question is contained in the attached image to this answer.

From the image attached and the additional information about the triangles, it is evident that that triangle VSW is similar to triangle QSR.

Hence, we can write the ratio as

(VS/QS) = (VW/QR)

VS = 2a

QS = 2 × VS = 2 × 2a = 4a

VW = 2a - 2

QR = 3a + 6

(2a)/(4a) = (2a - 2)/(3a + 6)

Cross multiplying,

2a (3a + 6) = 4a (2a - 2)

3a + 6 = 2 (2a - 2)

3a + 6 = 4a - 4

4a - 3a = 6 + 4

a = 10

VS = 2a = 20 units.

Hope this Helps!!!

4 0
4 years ago
Which best describes the figure that is represented by the following coordinates?
kolezko [41]

Answer: its square.

Step-by-step explanation:

7 0
3 years ago
One number is six less than a second number. Six times the first is 8 more than 4 times the second. Find the numbers.
irinina [24]

Answer:

x-6=y

6x= 8+4y

Step-by-step explanation:

3 0
4 years ago
For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d =
enyata [817]
Given that <span>For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d=v+\frac{v^2}{20}, where [tex]d is measured in feet.

If Kerry wants her stopping distance not to exceed 75 ft, then the range of speeds (in mi/h) can she travel is obtained as follows:

v+ \frac{v^2}{20} \leq75 \\  \\ 20v+v^2\leq1,500 \\  \\ v^2+20v+100\leq1,500+100 \\  \\ (v+10)^2\leq1,600 \\  \\ |v+10|\leq\sqrt{1,600} \\  \\ -40\leq v+10\leq40 \\  \\ -40-10\leqv\leq v\leq40-10 \\  \\ -50\leq v\leq30

Therefore, the range of speed she can travel is v\leq30\ mi/hr
</span>
8 0
3 years ago
The function f(x) = 3x² + 12x +11 can be written in
Viktor [21]

Answer:

3)  f(x) = 3(x + 2)^2 - 1.

Step-by-step explanation:

f(x) = 3x² + 12x +11

f(x) = 3(x^2 + 4x) + 11        Completing the square:

f(x) =  3[(x + 2)^2 - 4] + 11

f(x) = 3(x + 2)^2 -+3*-4 + 11

f(x) = 3(x + 2)^2  - 12 + 11

f(x) = 3(x + 2)^2 - 1.

6 0
3 years ago
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