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2 years ago

Question in pic, will mark brainliest

Mathematics

2 answers:

Vitek1552 [10]2 years ago

7 0

It would be the first one because an acute angle and obtuse angle is always 180 degrees

Kipish [7]2 years ago

5 0

Answer:

m∠1 = m∠8

Step-by-step explanation:

Since the angles 1 and 8 are alternate exterior angles, the lines are parallel.

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On the map the scale is 1 inch=125 miles. What is the actual distance between the two cities if the map distance is 2 3/4 inches

ss7ja [257]

291.6 or rounded 292 miles

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2 years ago

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I need help please, also if you could put the steps in and check that would be great. Also whoever does gets brainliest

denis23 [38]

Answer: #7 is A and #8 is D

Step-by-step explanation:

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2 years ago

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Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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2 years ago

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Find the nth term of a gp with (a. find term = 5, common ratio = 2

Rina8888 [55]

Step-by-step explanation:

we know,

$tn= a {(r)}^{n - 1} \\ T5 = a {(2)}^{5 - 1} \\ t5 = a \times {2}^{4} \\ = 16a$

Therefore, nth term of a given gp is

16a

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2 years ago

A glass is 1/4 full. Then 24cm of orange juice is poured in. The glass is now 2/5 full. What is the total volume of the glass?

Phantasy [73]

160cm3

2/5 - 1/4 = 8/20 - 5/20 = 3/20

(3/20)t = 24
t = 160

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2 years ago