All categories

3 years ago

Can I get help please?!?

Mathematics

2 answers:

Kamila [148]3 years ago

4 0

Answer:

114

Step-by-step explanation:

Both angle 8 and angle 1 have the same measure, so angle 1 would also be 114 degrees

Kaylis [27]3 years ago

4 0

Answer:

m∠=114°

Step-by-step explanation:

m∠8=m∠3= 114° (vert. opp ∠'s)

Therefore

m∠3=m∠1= 114° (corresponding angles, parallel lines)

You might be interested in

Item 20 A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the sc

siniylev [52]

Answer:

The ratio of the area of the school banner to the area of the sign is <u>1944 cubic inches : 192.61 cubic inches.</u>

Step-by-step explanation:

Given:

A rectangular school banner has a length of 54 inches and a width of 36 inches. A sign is made that is similar to the school banner and has a length of 17 inches.

Now, to find the ratio of the area of the school banner to the area of the sign.

Dimensions of school banner :

Length = 54 inches.

Width = 36 inches.

Dimension of school sign:

Length = 17 inches.

So, to we find the width of sign by using cross multiplication method:

Let the width be $x.$

So, 54 is equivalent to 36.

Thus, 17 is equivalent to $x.$

$\frac{54}{36} =\frac{17}{x}$

By cross multiplying we get:

$54x=612$

Dividing both sides by 54 we get:

$x=11.33\ inches.$

Thus, the width of sign = 11.33 inches.

Now, to get the ratio of the area of the school banner to the area of the sign:

Area of the school banner : Area of the school sign.

= $54\times 36:17\times 11.33$

= $1944:192.61$

Therefore, the ratio of the area of the school banner to the area of the sign is 1944 cubic inches : 192.61 cubic inches.

6 0

3 years ago

Read 2 more answers

Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amou

katen-ka-za [31]

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

6 0

3 years ago

PLEASE HELP QUESTION IN PICTURE

sp2606 [1]

Answer:

b = 55

d = 55

Step-by-step explanation:

Part B:

1. We can see that m∠C (25 degrees), the angle with 100 degrees, and ∠B are adjacent angles that add up to 180 degrees.

This means that b + 25 + 100 = 180

2. (Solving equation above)

Step 1: Simplify both sides of the equation.

$b + (25+100)=180$
$b + 125 = 180$

Step 2: Subtract 125 from both sides.

$b + 125 - 125 = 180 - 125$
$b = 55$

Therefore, b = 55.

Part D:

1. The exterior angle theorem states that the exterior angle of a triangle is congruent to the sum of the two opposing interior angles.

This means that 110 = d + 55

2. (Solving)

Step 1: Subtract 55 from both sides.

$110-55 = d + 55-55$
$55 = d$

Therefore, d = 55.

5 0

2 years ago

The ratio of boys to girls on the bus is 20/15. Find three ratios equivalent to the described ratio

Lana71 [14]

Hey 4:3 is an equal ration to 20:15

8 0

3 years ago

Pls translate the verbal phrase into an algebraic expression

Ghella [55]

(N+n)x + 1 =11
Hope this help

6 0

3 years ago

Read 2 more answers