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grigory [225]
2 years ago
6

Step by step please !

Mathematics
1 answer:
lyudmila [28]2 years ago
8 0

Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.

For example, in number 1, you can do

m<1 = 180 - 94 - 45

For the 2nd one, the tick marks show that the highlighted angles measure the same.

So, it would be (180-58)/2 = m<1

Finally, for the third one, there is a right angle, meaning that it measures 90 degrees

Therefore, 180-90-77 = m<1

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Use the Exterior Angle Inequality Theorem to list all of the angles that measure less than the measure of Angle 1
11111nata11111 [884]

Answer:

Step-by-step explanation:

Since, angle 1 is an exterior angle of ΔABE,

m∠1 > m∠3 and m∠4

Since, angle 1 is an exterior angle of ΔABD,

m∠1 > m∠5

Since, angle 1 is an exterior angle of ΔABC,

m∠1 > m∠7 and m∠8

Therefore, ∠1 is greater than ∠3, ∠5, ∠7 and ∠8.

6 0
3 years ago
What’s the average of 230, 155, 320, 400, and 325
balu736 [363]

Answer:

286

Step-by-step explanation:

230+155+320+400+325=1430

1430/5=286

7 0
3 years ago
PLEASE HURRY!!! Lori used 4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup, she also used 1 2
djyliett [7]

Answer:

2 2/3

Step-by-step explanation:

4 × 2/3

4/1 × 2/3

8/3

2 2/3

6 0
2 years ago
write an equation in slope intercept form for the line that passes through (4,7) and is perpendicular to the line that passes th
kiruha [24]
The line through (3,6) and (3,15) is vertical so the perpendicular slope is a horizontal line.
y=7

3 0
3 years ago
Read 2 more answers
What is the area of rectangle ABCD, if points A, B, C, and D have the following coordinates?
slega [8]

Answer:

The area of the rectangle ABCD is \frac{2}{5} square units.

Step-by-step explanation:

From statement we have that rectangle ABCD is formed by the following points: A(x,y) = (2, 5), B(x,y) = \left(\frac{8}{3}, 5 \right), C(x,y) = \left(\frac{8}{3}, \frac{28}{5}  \right), D(x,y) = \left(2, \frac{28}{5} \right). First, we calculate the length of each side by the Pythagorean Theorem:

AB = \sqrt{\left(\frac{8}{3}-2 \right)^{2}+ (5-5)^{2}}

AB = \frac{2}{3}

BC = \sqrt{\left(\frac{8}{3}-\frac{8}{3}\right)^{2}+\left(\frac{28}{5}-5\right)^{2} }

BC = \frac{3}{5}

CD = \sqrt{\left(2-\frac{8}{3} \right)^{2}+\left(\frac{28}{5}-\frac{28}{5}  \right)^{2}}

CD = \frac{2}{3}

DA = \sqrt{\left(2-2\right)^{2}+\left(5-\frac{28}{5} \right)^{2}}

BC = \frac{3}{5}

Which satisfies all minimum characteristics for a rectangle. The area of the rectangle ABCD is the product of its base and its height, that is:

A = \left(\frac{2}{3}\right)\cdot \left(\frac{3}{5} \right)

A = \frac{2}{5}

The area of the rectangle ABCD is \frac{2}{5} square units.

6 0
2 years ago
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