All categories

3 years ago

What’s the value of y?

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

Answer:

Step-by-step explanation:

Since BD and AE are parallel lines, then

∠BDC = ∠AED ( corresponding angles ), thus

4x - 5 = 97 - 2x ( add 2x to both sides )

6x - 5 = 97 ( add 5 to both sides )

6x = 102 ( divide both sides by 6 )

x = 17, hence

∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°

∠BDE and ∠AED are same side interior angles and are supplementary, thus

10y - 3 + 63 = 180

10y + 60 = 180 ( subtract 60 from both sides )

10y = 120 ( divide both sides by 10 )

y = 12 → D

You might be interested in

You purchase a $120 jacket that is on sale for 20% off. How much do you pay for the jacket?

Butoxors [25]

Answer:

$96

Step-by-step explanation:

Good deal!

6 0

2 years ago

Read 2 more answers

How many eight-digit serial numbers contain three of one digit, two of another digit, two of yet another digit, and one of still

Harlamova29_29 [7]

It is easier to understand the problem if you create a number based on the criteria and then perform the computations. I am going to choose: 111 22 33 4

There are 10 options for the first "1" and only 1 option for the other two 1's

There are 9 remaining options for the first "2" and only 1 option for the other 2

There are 8 remaining options for the first "3" and only 1 option for the other 3

There are 7 remaining options for the "4"

10 x 1 x 1 x 9 x 1 x 8 x 1 x 7

10 x 9 x 8 x 7 = 5,040

Answer: 5,040

6 0

3 years ago

2. What is the total surface area of the figure below 5.2 cm 6 cm 9 cm 6 cm 6 cm

babunello [35]

Answer:

Step-by-step explanation:

Area = 5.2 x 6 + 3 x 6 x 9

= 31.2 + 162

= <u>193.2 cm²</u>

5 0

2 years ago

Somebody help me lol

vladimir2022 [97]

Answer: $1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}$

Step-by-step explanation:

1. A number written in scientific notation has the following form:

$a10^{b}$

Where is $a$ is a number between 1 and 10 but not including 10, and b is an integer.

2. The negative exponent indicates the number of places the decimal point must be moved to the left to obtain the number as a decimal number.

3. Keeping this on mind, you can know that: if the exponent of a number written in scientific notation indicates that the decimal point must be moved 5 places to the left and another number written in scientific notation indicates that the decimal point must be moved 2 places to the left, then the first number is smaller than the second one.

4. Therefore, you can arrange the numbers given in the problem as following:

$1.03*10^{-1}>3.1*10^{-2}>2.01*10^{-3}>2.32*10^{-4}>4.2*10^{-5}$

3 0

3 years ago

A cone-shaped paper cup can hold 35 cubic inches of food. If the radius of the cone is 2.4 inches, what is the height of the con

SVETLANKA909090 [29]

$\bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}~~
\begin{cases}
r=radius\\
h=height\\
-----\\
r=2.4\\
V=35
\end{cases}\implies 35=\cfrac{\pi (2.4)^2 h}{3}\implies 105=5.76\pi h
\\\\\\
\cfrac{105}{5.76\pi }=h\implies 5.805467091295 \approx h\implies 5.81 \approx h$

7 0

3 years ago

Read 2 more answers