12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

D) 4/3

Step-by-step explanation:

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

IF tan Z = 3/4

Since m<Y = 90 degrees

Let the opposite side be XY

YZ be the adjacent side

and XZ is the hypotenuse

Given

tan theta = opp/adj

opp = 3 = XY

adj = 4 = YZ

Get the hypotenuse

hyp^2 = 3^2 + 4^2

hyp^2 = 9 + 16

hyp^2 = 25

hyp = √25

hyp = 5

for tanX;

Side opposite to angle X is YZ

Adjacent side = XY = 3

opposite = YZ = 4

Tan X = YZ/XY

Tan X = 4/3

Hence the prediction of Tan X is 4/3

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.