All categories

2 years ago

QS bisects /PQT and QP and QR are opposite rays. If m/PQT 60 and m/PQS = 4x + 14, find the value of x

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Based on the angle bisector QS, the value of x is 4

<h3>How to determine the value of x?</h3>

The given parameters are:

QS bisects <PQT
QP and QR are opposite rays.
m<PQT = 60
<PQS = 4x + 14,

Because QS bisects <PQT, then

PQT = 2 * <PQS

This gives

4x + 14) * 2 = 60

Divide by 4

2x + 7 = 15

Subtract 7 from both sides

2x = 8

Divide by 2

x = 4

Hence, the value of x is 4

You might be interested in

Kamau bought 50 kg of sugar for sh 4000

Nana76 [90]

Answer:

Profit % =50%

Step-by-step explanation:

Cost of 50 kg = sh 4000

Selling price of 1kg = sh 120

Selling price of 50 kg = sh 6000

$profit \% = \frac{Selling \ price - cost \ price}{cost \ price} \times 100\\$

$=\frac{6000 - 4000}{4000} \times 100\\\\=\frac{2000}{4000} \times 100\\\\=\frac{1}{2} \times 100\\\\=50 \%$

7 0

3 years ago

Jacob and Mirit decide to race their pet snails. Jacob's snail moves 25 inches per minute, and Mirit's snail travels 28 inches p

sweet-ann [11.9K]

Answer:

180 inches

Step-by-step explanation:

25 inches per minute

in 1 hour (60 minutes) :

25*60 = 1500

28 inches per minute

in 1 hour (60 minutes) :

28 * 60 = 1680

1680-1500 = 180

3 0

3 years ago

Me ajuda ai por favor tenho que entregar amanhã

elena-14-01-66 [18.8K]

a) (2a - b)² = (4a² - 4ab + b²)

b) (10m - n²)² = (100m² - 20mn² + n⁴)

c) (4x - 4²) = (16x² - 8x + 4⁴)

d) ${( \frac{1}{3} x - y) }^{2} = ({ \frac{1}{9}x }^{2} - \frac{2}{3} xy + {y}^{2} )$

$(0.25 - a) ^{2} = (0.25^{2} - (2)(0.25)a + {a}^{2} ) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = ( \frac{1}{16} - \frac{1}{2} a + {a}^{2} )$

${( \frac{2x}{3} - \frac{1}{2} )}^{2} = ( \frac{4 {x}^{2} }{9} - \frac{2x}{3} + \frac{1}{4} )$

6 0

3 years ago

What are the x and y-intercepts of the line described by the equation?<br> -6x + 3y = 18.9

-BARSIC- [3]

Answer:

x-intercept - x = 1/2y - 3.15

y-intercept - y = 2x + 6.3

Step-by-step explanation:

For x,

-6x + 3y = 18.9

-6x = -3y + 18.9

x = -3y/-6 + 18.9/-6

x = 1/2y - 3.15

For y,

-6x + 3y = 18.9

3y = 6x + 18.9

y = 6x/3 + 18.9/3

y = 2x + 6.3

8 0

3 years ago

Slope of 0 3 and 4 1

attashe74 [19]

Answer:

m = $\frac{-1}{2}$

Step-by-step explanation:

The slope of (0,3) (4,1) =

$\frac{-1}{2}$

Hope this helps :)

6 0

3 years ago

Read 2 more answers

QS bisects /PQT and QP and QR are opposite rays. If m/PQT 60 and m/PQS = 4x + 14, find the value of x​

QS bisects /PQT and QP and QR are opposite rays. If m/PQT 60 and m/PQS = 4x + 14, find the value of x