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skad [1K]
3 years ago
15

A classmate believes that a triangle can have both a right angle and an obtuse angle. Which of the following statements would yo

u pick to convince him that he is incorrect
(a) It is not possible because the sum of the angles in the triangle can’t exceed 180°
(b)It is not possible because if a triangle has an obtuse triangle, that means all the angles are obtuse angles. (c) It is not possible because if a triangle has a right triangle, that means all the angles are right angles (d)It is possible. The classmate is correct
Mathematics
1 answer:
Fofino [41]3 years ago
6 0
(a) It is not possible because the sum of the angles in the triangle can’t exceed 180°
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AB←→||CD←→. Find the measure of ∠BFG.
Colt1911 [192]

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

8 0
3 years ago
What’s the correct answer for this?
Anvisha [2.4K]

Answer:

P = 4/13

Step-by-step explanation:

In a deck of 52 cards, there are 3 aces(spade, heart, diamond), 1 club ace, and 12 remaining club cards

=> The probability of randomly drawing 1 card that is an ace card or a club card:

P = number of elements/total number of elements

P = (3 + 1 + 12)/52

P = 16/52

P = 4/13

=> Option A is correct

8 0
3 years ago
I need help pls!! 20 points I need it!!
dolphi86 [110]

Answer: About 6.71 units

Step-by-step explanation:

You use the distance formula: \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}  }.

Assign the the two points to the variables:

(x_{1}, y_{1}) =  (1, 3)\\(x_{2}, y_{2}) = (4, -3)

Substitute them in the formula:

\sqrt{(4-1)^{2}+(-3-3)^{2}}

And solve it:

\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71

3 0
3 years ago
Read 2 more answers
A rectangular soccer field is twice as long as it is wide. If the perimeter of a soccer field is 300 yards, what are the fields'
Masteriza [31]
<span>A rectangular soccer field is twice as long as it is wide. If the perimeter of the soccer field is 300 yards , what are its dimensions?
I know the basic formula is 2W+2L=300 but i am not sure where to go from there...
-----
Equations:
2W + 2L = 300
L = 2W
----
Substitute for "L" and solve for "W": 
</span><span>2W + 2(2W) = 300
6W = 300
W = 50 yds (width)
----
Solve for "L":
L = 2W
L = 100 yds (length)
========================
Cheers.
</span>
8 0
3 years ago
alex purchased a 2010 model sedan for $24,000. The dealership offered him a $199/month payment plan for 48 months, at the end of
trapecia [35]

a = prt

a = 24,000 x 0.06 x(48 / 12)(you have to turn months into years)

a = 24,000 x 0.06 x 4

a = $5,760

The payment due is $5,760

7 0
3 years ago
Read 2 more answers
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