Answer:
(8,0)
Step-by-step explanation:
First equation
2
x-
4y
=
32
2
x
=
32
+
4
y
x
=
32
+
4
y DIVIDED BY 2
x
=
32/
2
+
4
y/
2
x
=
16
+
2
y
Second equation
8
x
−
8
y
=
96
Factorize
8
(
x
−
y
)
=
96
Transfer the 8 and put value of x
16
+
2
y
−
y
=
96
/8
16
+
y
=
12
y
=
12
−
16
y
=
−
4
Get the value of x
x
=
16
+
2
y
x
=
16
+
2
×
−
4
x
=
16
+
(
−
8
)
x
=
8
Answer:
199 square feet
Step-by-step explanation:
Given:
Trace needs a new carpet for her house.
Dimension of dining room = 6 feet by 4 feet.
Dimension of sitting area = 10 feet by 15 feet.
Dimension of breakfast nook = 5 feet by 5 feet.
<u>Question asked:</u>
How many square feet of carpet does she need ?
<u>Solution:</u>
<em>First of all we will calculate the area of each part of the house and then add up.</em>
<em />





Total carpet needed will be needed = For dining + For sitting area + For breakfast nook
= 24 + 150 + 25
= 199 square feet
Therefore, she needs 199 square feet of a new carpet for her house.
Answer:
12/3 = 8/x
x=2
Step-by-step explanation:
Answer:
It should be 75 inches
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary
The description of the angles in the quadrilaterals are:
- b. m∠M = 55°, m∠J = 48°, and m∠L = 132°
- d. m∠L = 40°, m∠M = 60°, and m∠K = 120°
- e. m∠K = 72°, m∠L = 44°, and m∠M = 108°
- f. m∠J = 105°, m∠K = 65°, and m∠L = 75°
<h3>How to describe the angles</h3>
The quadrilateral is given as: JKLM
The opposite angles are:
- Angles J and L
- Angles K and M
The opposite angles are supplementary
So, we have:


Next, we test the options
<u>Option (a)</u>


This is not true
<u>Option (b)</u>


This is true
<u>Option (c)</u>


This is not true
<u>Option (d)</u>


This is true
<u>Option (e)</u>


This is true
<u>Option (f)</u>


This true
Hence, the description of the angles in the quadrilaterals are (b), (d), (e) and (f)
Read more about inscribed quadrilaterals at:
brainly.com/question/26690979