suppose that Y and Z are points on the number line if YZ=11 and Y lies on -9 where would Z be located

Select all the pairs that represent consecutive interior (or same-side interior) angles.

DedPeter [7]

Answer:

angle 4 and angle 8

angle 3 and angle 5

Step-by-step explanation: the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles

so, angle 4 and angle 8

and angle 3 and angle 5

are consecutive interior angles.

3 0

3 years ago

John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite

otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

Step 1; John drives a stake opposite the tree to establish a line between two points

Step 2; John uses a compass to walk away from the stakes at a right angle

Step 3; On the path John walks until he finds a line of sight to the tree that equals 60 degrees

Step 4; John drives a second stake in the ground

Step 5; John measures the the distance between the two stakes

Step 6; John multiplies the distance between the two stakes by 1.7 to find the distance.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

$\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}$

The possible question options are;

John measures the the distance between the two stakes

John uses a compass to walk away from the stakes at a right angle

John multiplies the distance between the two stakes by 1.7 to find the distance

John drives a second stake in the ground

On the path John walks until he finds a line of sight to the tree that equals 60 degrees

John drives a stake opposite the tree to establish a line between two points.

Learn more about trigonometric ratios here:

brainly.com/question/13276558

3 0

2 years ago

Name : Teacher: Word Problems Score: Date : Tom has 24 blue balloons. He wants to give his six friends the same number of blue b

Karo-lina-s [1.5K]

Each friend of Tommy will receive 4 blue balloons from tommy as Tommy wants to distribute his balloons equally among all of them.

As per the question statement, Tom has 24 blue balloons and he wants to distribute his balloons equally among all 6 of his friends.

To solve this question, let us assume that each friend of Tommy received "x" balloons on equal distribution.

We will now form a Linear Equation of single variable with "x", based on the condition mentioned in the question statement, and solving for "x", we will obtain our desired answer, i.e.,

$(x+x+x+x+x+x)=24\\or, (6*x)=24\\or, x=\frac{24}{6}\\ or, x=4$

Thus, Each friend of Tommy will receive 4 blue balloons.

Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and hence comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept. Occasionally, it is also called as a "linear equation of two variables," where y and x are the variables.

Variable: In Mathematics, a variable is a symbol or a representative of a value, which is unknown.

To learn more about Linear Equations, click on the link below.

brainly.com/question/27664510

#SPJ9

3 0

2 years ago

Ali and Heather drew floor models of their living room Ellie model represented 20 feet by 15feet Heather model represented 18fee

alina1380 [7]

Ellie: 20*15=300
Heather: 18*18= 324
Heather's floor model is greater by 24 feet

4 0

3 years ago

The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?

Montano1993 [528]

Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches

6 0

3 years ago