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2 years ago

Why is the slope the same on a line when different points are used to identify the slope?

1 answer:

7 0

Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.

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Pls, help me I don't understand! Very urgent!!!! (I have an attachment so you know what the problem looks like)

vredina [299]

1. A pair of supplementary angles: ∠IJH and ∠HJG, ∠IJH and ∠HJG

2. A pair of complementary angles: ∠JGK and ∠KGC, ∠FGE and ∠EGD

3. A pair of vertical angles: ∠AKB and ∠KJG , ∠IJH and ∠KJG

Solution:

Two angles are said to be supplementary when they add up to 180°.

We know that,

Sum of the adjacent angles in a straight line = 180°

∠IJK + ∠KJG = 180°

Therefore ∠IJK and ∠KJG are supplementary angles.

∠IJH + ∠HJG = 180°

Therefore ∠IJH and ∠HJG are supplementary angles.

Two angles are said to be complementary when they add up to 90°.

Given ∠CGD = 90°, ∠CGJ = 90°

∠JGK + ∠KGC = ∠CGJ

∠JGK + ∠KGC = 90°

Therefore ∠JGK and ∠KGC are complementary angles.

∠FGE + ∠EGD = 90°

Therefore ∠FGE and ∠EGD are complementary angles.

If two lines are intersecting, then the angles opposite to vertical point are vertical angles and they are equal.

∠AKB = ∠KJG (vertically opposite)

∠IJH = ∠KJG (vertically opposite)

5 0

4 years ago

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale

Sveta_85 [38]

Answer:

the scale factor is 4 to 1, or just 4.

Step-by-step explanation:

5 0

3 years ago

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

satela [25.4K]

16 dollars each because you do 8x5 which equals 40 and do 168-40 which equals 128 / 8 equals 16

8 0

3 years ago

Read 2 more answers

How do I simplify this

inna [77]

The calculator came up with this -23.399156493247038795316239455591

7 0

3 years ago

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the

lara31 [8.8K]

Answer:

$D(t)=-24t+166$

Step-by-step explanation:

Let

D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

Given:

Rachel's rate = 24 meters per second

At $t_1=4$ seconds $D(t_1)=70$ meters

Find: D(t)

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the function expression is

$D(t)=-24t+b$

To find b, substitute $t_1=4$ and $D(t_1)=70:$

$70=-24\cdot 4+b\\ \\70=-96+b\\ \\b=70+96\\ \\b=166$

So,

$D(t)=-24t+166$

7 0

3 years ago