All categories

2 years ago

I need help with number 1 and number 3.

Mathematics

1 answer:

Schach [20]2 years ago

7 0

1. First, set up a ratio to find the length of WZ. Use the lengths that are already given to you.

$\frac{2}{6} = \frac{3}{x} \\x = \frac{3(6)}{2}\\x = 9$

D is the correct answer for 1.

-----

3. The key word to notice here is that the pentagons are SIMILAR. This means that they have corresponding angles that are EQUAL.

This tells us that angle x must also be 60 degrees.

B is the correct answer for 3.

You might be interested in

Leo's townhouse has a market value of $310,000. The property in Leo's area is assessed at 40% of the market value. The tax rate

miss Akunina [59]

Market value = $310,000

Since market value for tax purposes is 40% of the actual market value,

Market value for tax assessment = $310,000*40% = $124,000

Tax rate per $1000 of assessed valuation = $145.10 or 14.51% of the assessed value

Hence tax to be paid by leo = $124000*14.51% = $17992.40

3 0

3 years ago

In parallelogram ABCD, base AD is 15 and side AB is 8. What are the height and area of paralelogram ABCD if mDAB is 20?

Goshia [24]

Step-by-step explanation:

✰ $\underline{ \underline{ \large{ \tt{G\: I \: V \: E \: N}}}} :$

AD = 15 , AB = 8 , $\angle$ DAB

✰ $\underline{ \underline{ \large{ \tt{T \: O \: \: F\: I \: N \: D}}}} :$

Height & Area of the given parallelogram

✰ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I\: O \: N}}}} :$

In right angled triangle ABE :

Hypotenuse ( h ) = 8
Perpendicular ( p ) = h [ height ]
$\theta$ = 20°

Now , Using trigonometric ratio :

$\large{ \tt{Sin \theta \: = \: \frac{Perpendicular}{Hypotenuse} }}$

Plug the known values :

⟶ $\large{ \tt{ Sin(20) = \frac{h}{8} }}$

⟶ $\large{ \tt{0.34 = \frac{h}{8}}}$

⟶ $\large{ \tt{h = 0.34 \times 8}}$

⟶ $\large{ \tt{h = 2.72}}$

Now , We have :

Base ( b ) = 15
Height ( h ) = 2.72

Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :

❀ $\underline{ \underline{ \text{Area \: of \: parallelogram = \tt{b *\: h}}}}$

⟶ $\large{ \tt{A = 15 *2.72}}$

⟶ $\large{ \tt{A = 40.8 \: {units}^{2} }}$

Hence , Our final answer :

$\large{ \boxed{ \sf{Height \: ( \: h \: ) = 2.72 \: units}}}$

$\large{ \boxed{ \sf{Area \: of \: parallelogram \: ( \:A \: ) = \: 40.8 \: {units}^{2} }}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

# $\underbrace{ \tt{Carry \: On \: Learning}}$ !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

3 0

3 years ago

Solve the question <br>2-(-4)+(-1)-(-3)

IgorLugansk [536]

Ugh this hurts my head just looking at it, but I'll show the process.

PEMDAS

Addition before subtraction (Not that it matters here).

2 - (-4) is the same as adding 4. This equals 6.

-1 - (-3) is the same as adding 3. This equals 2.

Adding these two expressions together equals 8.

Showing my work...

2 - (-4) + (-1) - (-3)

6 + (-1) - (-3)

6 + 2

8

3 0

3 years ago

Please help me with this question please is so hard

den301095 [7]

Answer:

1) $101,400

2) $27,000

Step-by-step explanation:

1) For this, we can first find how much she makes in a year from her salary alone:

$2,200×12= $26400.

Now, she also received a commission of 2.5%, so we can take this percentage from 3 million to find the total from commission:

3,000,000×0.025= $75,000

Adding these two gives us a total of $101400.

2) We can use the Simple Interest Formula to solve this (I= Prt). Plug in the values given to give us:

I= 5000(1.08)(5)

I= $27000

4 0

3 years ago

Factorise n² - 11n+ 18

11111nata11111 [884]

Step-by-step explanation:

=n2-11n+18

=n2-(9+2)n+18

=n2-9n-2n+18

=n(n-9)-2(n-9)

=(n-2)(n-9)

6 0

2 years ago

Read 2 more answers