Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Lines l,m, and n are parallel to each other and p is a transversal. Also, (/_x)/(/_y)=(3)/(7). Find /_z.

Lines l,m l, m , and n n are parallel to each other and p p is a transversal.\newlineAlso, ∠x∠y=37 \frac{\angle x}{\angle y}=\frac{3}{7} .\newlineFind ∠z \angle z .

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Write variable expressions for arithmetic sequencesright chevron icon

Full solution

Q. Lines l,m l, m , and n n are parallel to each other and p p is a transversal.\newlineAlso, ∠x∠y=37 \frac{\angle x}{\angle y}=\frac{3}{7} .\newlineFind ∠z \angle z .
  1. Identify Relationship: Identify the relationship between angles xx, yy, and zz given the parallel lines and transversal.\newlineSince lines ll, mm, and nn are parallel and pp is a transversal, angles xx and yy are corresponding angles on different parallel lines but on the same side of the transversal. Therefore, angle zz, which is also a corresponding angle to angle xx on another parallel line, will be equal to angle xx.
  2. Calculate Angle x: Calculate the value of angle x using the ratio given.\newlineThe ratio of angle x to angle y is 3:73:7. If we assume the sum of angles x and y is 180180 degrees (since they are supplementary as corresponding angles on parallel lines), we can set up the equation:\newline3x+7x=1803x + 7x = 180\newline10x=18010x = 180\newlinex=18x = 18 degrees.

More problems from Write variable expressions for arithmetic sequences

Question
Find the sum of the finite arithmetic series. ∑n=110(7n+4)\sum_{n=1}^{10} (7n+4)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`
Get tutor helpright-arrow

Posted 1 month ago

Question
Type the missing number in this sequence: `2, 4 8`, ______,`32`
Get tutor helpright-arrow

Posted 2 months ago

Question
What kind of sequence is this? 2,10,50,250,…2, 10, 50, 250, \ldots Choices:Choices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 2 months ago

Question
What is the missing number in this pattern? 1,4,9,16,25,36,49,64,81,____1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_
Get tutor helpright-arrow

Posted 1 month ago

Question
Classify the series. ∑n=012(n+2)3 \sum_{n = 0}^{12} (n + 2)^3 \newlineChoices:\newline[A]arithmetic\text{[A]arithmetic}\newline[B]geometric\text{[B]geometric}\newline[C]both\text{[C]both}\newline[D]neither\text{[D]neither}
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the first three partial sums of the series.\newline1+6+11+16+21+26+⋯1 + 6 + 11 + 16 + 21 + 26 + \cdots\newlineWrite your answers as integers or fractions in simplest form.\newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the third partial sum of the series. \newline3+9+15+21+27+33+⋯3 + 9 + 15 + 21 + 27 + 33 + \cdots\newlineWrite your answer as an integer or a fraction in simplest form. \newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the first three partial sums of the series. \newline1+7+13+19+25+31+⋯1 + 7 + 13 + 19 + 25 + 31 + \cdots\newlineWrite your answers as integers or fractions in simplest form. \newlineS1=S_1 = ____\newlineS2=S_2 = ____\newlineS3=S_3 = ____
Get tutor helpright-arrow

Posted 2 months ago

Question
Does the infinite geometric series converge or diverge?\newline1+34+916+2764+⋯1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots\newlineChoices:\newline[A]converge\text{[A]converge}\newline[B]diverge\text{[B]diverge}
Get tutor helpright-arrow

Posted 1 month ago

View all (49)