All categories

3 years ago

Given A is between Y and Z YA = 5.5, AZ = 2x, and YZ = 41.5 =, find AZ

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

Answer:

$AZ=36$

Step-by-step explanation:

We have been given that point A is between point Y and Z such that $YA=5.5$ , $AZ=2x$ and $YZ=41.5$ .

Using our given information, we can set an equation as:

$YZ=YA+AZ$

Substitute given values:

$41.5=5.5+2x$

Switch sides:

$5.5+2x=41.5$

$5.5-5.5+2x=41.5-5.5$

$2x=36$

Since $AZ=2x$ , so the length of segment AZ is 36 units.

morpeh [17]3 years ago

4 0

YZ = YA + AZ
41.5 = 5.5 + AZ
AZ = 41.5 - 5.5
AZ = 36

So, your final answer is AZ = 36

Hope this helps!

You might be interested in

2 (01.05)

lord [1]

Answer:

y +2 = 4(x -3)

Step-by-step explanation:

Point-slope form of the equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

For m = 4 and (h, k) = (3, -2), the equation is ...

y +2 = 4(x -3) . . . . . matches the first choice

3 0

3 years ago

Which property is illustrated by the following statement <br><br> 2x (6) = (6) 2x

igomit [66]

the answer to it is 24X squared but the answer to your question is both are ok they both give u 12X which is 24X squared the way u wrote it lol

4 0

3 years ago

Please help me! This is one of the questions on my Geometry work!

Tamiku [17]

Answer:

I don't know the answer bud

7 0

3 years ago

Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th

BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let $t=0$ represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

$F(t)=102,390(1-0.15)^t$

$F(t)=102,390(0.85)^t$

To find number of cases in 2020, we will substitute $t=10$ in our decay function as:

$F(10)=102,390(0.85)^{10}$

$F(10)=102,390(0.1968744043407227)$

$F(10)=20,157.970260446597\approx 20,158$

Therefore, 20,158 cases will be reported in 2020.

3 0

3 years ago

Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a mult

Elina [12.6K]

decrease in temperature if you hike up the mountain 3000 meters is $-30$ ° .

<u>Step-by-step explanation:</u>

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒ (n/1000)×(-10)

⇒ $\frac{n}{1000}(-10)$

At n = 3000 meters:

⇒ $\frac{3000}{1000}(-10)$

⇒ $3}(-10)$

⇒ $-30$ °

Therefore , decrease in temperature if you hike up the mountain 3000 meters is $-30$ ° .

8 0

3 years ago