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Ronch [10]
3 years ago
5

Each week peggy drives two routes, route x and route y. One week she drives route x three times a d route y twice. She drives a

total of 144 miles that week. Another week she drives route x twice and route y five times. She drives a total of 217 miles that week. Find the length of each route
Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

x = 26 , y = 33

Step-by-step explanation:

3x + 2y = 144 (1)

2x + 5y = 217 (2)

3x + 2y = 144

(divide the equation by 3)

x + (2/3)y = 48

x = 48 - (2/3)y

Plug into (2)

2[48 - (2/3)y] + 5y = 217

96 - (4/3)y + 5y = 217

11y/3 = 217 - 96

11y/3 = 121

y = 121×3/11

y = 33

x = 48 - (2/3)y

x = 48 - (2/3)(33)

x = 48 - 22

x = 26

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Step-by-step explanation:

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B. 18/√3

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6 0
3 years ago
State if the two triangles are congruent. If they are, state how you know.
Elodia [21]
17. Yes!! SAS theorem
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4 0
2 years ago
Solve the equation. <br><br><br> 12=2+z/-6
Bogdan [553]

Answer:

\boxed{\bold{z=-60}}

Step-by-step explanation:

Switch Sides

\bold{2+\frac{z}{-6}=12}

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\bold{2+\frac{z}{-6}-2=12-2}

Simplify

\bold{\frac{z}{-6}=10}

Multiply Both Sides By -6

\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}

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3 0
3 years ago
Read 2 more answers
If Angle B is two more than three times the measure of Angle C, and Angle B and Angle C are complementary angles, find each angl
dolphi86 [110]

Answer:

The measure of angle B is 68° and the measure of angle C is 22°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

m∠B+m∠C=90° -----> equation A

m∠B=3(m∠C)+2 ----> equation B

Substitute equation B in equation A and solve for m∠C

3(m∠C)+2+m∠C=90

4(m∠C)=90-2

4(m∠C)=88

m∠C=88/4

m∠C=22°

Find the value of m∠B

m∠B=3(22)+2=68°

therefore

The measure of angle B is 68° and the measure of angle C is 22°

5 0
3 years ago
How do you solve secx-2=0
siniylev [52]
It will be secx = 2
or, cosx = 1/2
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5 0
3 years ago
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