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Aleonysh [2.5K]
3 years ago
13

The variable y varies directly as x. The value of y = 200 when x = 4. Write

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Step-by-step explanation:

The equation is y = 50x.

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In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is
Nuetrik [128]

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

3 0
3 years ago
Read 2 more answers
A. How high above the water is the roadway in meters? Round to the nearest hundredth. (199 ft)
xxMikexx [17]
A.
1 meter = 3.28 feet
Height = 199 / 3.28
Height = 60.6707 m
To the nearest hundredth = 60.67 m

B.
1 Kilometer = 1000 meter
1 meter = 3.28084 feet
1 kilometer = 3280.84 feet
Length = 26,372 / 3280.84
Length = 8.0382 km
To the nearest hundredth = 8.04 km<span />
6 0
3 years ago
Which of the following is a true statement? (round to the nearest tenth as needed) If -2 + v = 16, then v = 14 If -2 + v = 16, t
rosijanka [135]
In the first statement, it is false. -2+14 would not add up to 16.
In the third statement, it is false. -8+-2 would not add up to 16.
In the fourth statement, it is false. -2-14 would not add up to 16.
So the second statement is true -2+18=16.

6 0
4 years ago
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Can ya'll help me plssssss
KIM [24]

Answer: 8mph

Step-by-step explanation:

If Marco bicycles 20 miles in 2.5 hours. divide 20 by 2.5 to get the average rate.

20/2.5 = 8

(Don't forget to add units)

8mph

4 0
1 year ago
Find an equation equivalent to r=6sec theta in rectangular coordinates and describe the graph of the equation.
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Answer: x=6; straight vertical line

Step-by-step explanation:

Because i know, jk. Just took the test, & used Desmos - Alex

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