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RUDIKE [14]
3 years ago
9

Solve triangle problems where angles or sides are given in terms of other angles or sides

Mathematics
1 answer:
DENIUS [597]3 years ago
8 0

Answer:

18

Step-by-step explanation:

x+x+17+6=49

2x=36

x=18

s1=18

s2=35

s3=6

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Kelly and Greta are asked to write an equation for the scenario below. "One person was able to plant 4 trees in the same amount
Alina [70]

Answer:

y=\dfrac{1}{4}x

Kelly is correct.

Step-by-step explanation:

One person is able to plant 4 trees

Let x be the number of people

y be the number of trees

The situation is represented by

1x=4y\\\Rightarrow y=\dfrac{1}{4}x

5 people are able to plant 20 trees

5x=5(4y)\\\Rightarrow 5x=20y\\\Rightarrow y=\dfrac{5x}{20}\\\Rightarrow y=\dfrac{1}{4}x

So, the situation is represented by y=\dfrac{1}{4}x

Hence, Kelly is correct.

6 0
3 years ago
Read 2 more answers
Please help me out.................
user100 [1]

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite lengths are equal.

So it means that the length (5y - 20) is equal to (2y + 25).

Now that there is only one variable in the equation, we can solve for the variable.

5y - 20 = 2y + 25

5y - 2y = 25 + 20

3y = 35

y = 15

5 0
3 years ago
THIS WILL BE 10 POINTS PER Q, SO IF YOU COULD HELP ANSWER THESE ALL, I WOULD LOVE YOU FOREVER :')
Contact [7]

1. C. 538.56

2. A. $1478.40

3. A. $2295.60

4.A.  $795.60

7 0
3 years ago
Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0
3 years ago
A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing spee
Snezhnost [94]
  • Initial velocity=u=20km/h
  • Final velocity=v=70km/h
  • Time=10s=t

Convert speeds to m/s

\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s

\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s

\boxed{\sf Acceleration=\dfrac{v-u}{t}}

\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}

\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}

\\ \rm\longmapsto Acceleration=143m/s^2

7 0
3 years ago
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