Segments AB,DC, and EC intersect at point C. Angle DCE measures 148. Find the value
Answers
Answer:
x = 16°
Step-by-step explanation:
We can see that AB is a straight line. The sum of angles on a straight line adds up to 180°
∠ACD + ∠DCE + ∠ECD = 180° (sum of angles on a straight line)
∠ACD = x, ∠DCE = 148, ∠ECD = x
substituting the respected values for the angles gives:
x + 148 + x = 180
2x + 148 = 180
subtracting 148 from both sides:
2x + 148 - 148 = 180 - 148
2x = 32
Dividing both sides by 2, to get x:
2x/2 = 32/2
x = 16°
Related Questions
The radius of a salad bowl is 8.9 inches. What is the surface area of the bowl? (Assume the bowl is half a sphere and use 3.14 for ).
a. 3979.51 in2
b. 994.88 in2
c. 497.44 in2
d. 52.92 in2
Answers
Answer:
994.88 in2
Step-by-step explanation:
Use the surface area formula SA = 4(pi)(r2) which results in SA = 4(3.14)((8.9)2) = 994.88 square inches. Because the bowl represents half a sphere, it is necessary to divide that answer by 2 to get the surface of the bowl.
If radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that radius of a salad bowl is 8.9 inches.
We have to find the surface area of the bowl
The surface area of a half-sphere is given by the formula:
SA = 2πr²
where r is the radius of the sphere.
In this case, the radius of the salad bowl is 8.9 inches.
Substituting this value into the formula, we get:
SA = 2 x 3.14 x (8.9)²
SA = 497.44 square inches
Surface area =497.44 square inches
Hence, if radius of a salad bowl is 8.9 inches then the surface area of the bowl is 497.44 square inches, option c is correct.
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ3
James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt
before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.
Answers
Answer:
The Price of socks is
=
$
8
Explanation:
Given -
Discount 25%
Price of shirt before discount
=
$
24
Amount spent on both shirt and socks after applying discount
=
$
24
Assume the price of socks
=
$
x
Then Shirt + Socks before discount =
$
(
24
+
x
)
After discount one has to pay 75% of the article.
Then -
75
100
(
24
+
x
)
=
24
0.75
(
24
+
x
)
=
24
18
+
0.75
x
=
24
0.75
x
=
24
−
18
=
6
x
=
6
0.75
=
8
The Price of socks is
=
$
8
How to verify your answer -
One way
Price of shirt =$24
Price of socks =$8
Total =$32
Discount =25%
Discount for $32 is
32
×
25
100
=
$
8
Amount one has to pay after discount
=
32
−
8
=
$
24
Another way is -
Discount 25%
It means after discount it is enough if he pays 75% of the price.
In our case - Actual price is
=
$
32
75% of $32 is
=
32
×
75
100
=
2
Step-by-step explanation:
PLEASE HELP
Use the formula √(x2−x1)2+(y2−y1)2 to find the distance between the points(8,2) and (3,8) to the nearest tenth please
Answers
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(3-8)^2+(8-2)^2} =\sqrt{25+36 }=\sqrt{61} \approx 7.81[/tex]