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vladimir1956 [14]
2 years ago
8

Triangles A B C and L M N are shown. Angle B A C is 58 degrees. Angle M L N is 78 degrees. Sides A B and L M are congruent. Side

s A C and L N are congruent.
Given AC = LN and BA = ML, which statement must be true?
BC < MN
BC > MN
BC = MN
BA = LN
Mathematics
1 answer:
stich3 [128]2 years ago
6 0

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A, BC < MN.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

As per the given conditions, the angle that will be opposite to ∠A is BC and  ∠L is MN.

Now since the measure of ∠L is more than the measure of ∠A, therefore, the side MN will be greater than BC.

Hence, the correct option is A, BC < MN.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

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(20 points) A random sample of =1200 n = 1200 registered voters and found that 620 would vote for the Republican candidate in a
LenaWriter [7]

Answer:

The test statistic is Z = 1.157

Step-by-step explanation:

Given that:

The sample size n = 1200

The sample proportion of those that will vote for the Republican candidate is represented by \hat p = \dfrac{x}{n}

\hat p = \dfrac{620}{1200}

\hat p =0.5167

The null and the alternative hypothesis can be computed as:

H_o: P=0.50 \\ \\ H_a :P>0.50

The formula for the one-sample Z-test for the population proportion can be expressed as:

Z = \dfrac{\hat p - P_o}{\sqrt{\dfrac{P_o(1-P_o)}{n}}}

Z = \dfrac{0.5167 - 0.5}{\sqrt{\dfrac{0.5(1-0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.5(0.5)}{1200}}}

Z = \dfrac{0.0167}{\sqrt{\dfrac{0.25}{1200}}}

Z = \dfrac{0.0167}{\sqrt{2.08333333\times10^{-4}}}

Z = 1.157

4 0
3 years ago
2x + 3y = 13<br> 4x - y = -2
Mama L [17]

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

5 0
4 years ago
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PLEASE HELP!! I really need it
Whitepunk [10]

Answer:

   5.291 × 106

Step-by-step explanation:

HOPE I HELPED!

5 0
3 years ago
Kyle's car average 380 miles on a 16-gallon tank of gas. How far can he drive on 6 gallons of gas?
mr Goodwill [35]
380 / 16 = x / 6
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x = 142.5

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6 0
4 years ago
Please help!! 80 pts
jonny [76]

To solve this question, you have to take the 2D shape and divide it up into 6 boxes, of which you find the area of each. For easier reference, here's a picture where I've numbered the boxes.

Box 1: Nothing special here, just 25*12= 300 cm²

Box 2: The height of box 2 is obvious but the length is found from the above box. 25*18= 450 cm²

Box 3: Box 3 is the opposite of box 2, with an obvious length, but a width which is found from box 2. 12*18= 216 cm²

Box 4: Box 4 receives its height from box 2 and its length from box 6. 25*18= 450 cm²

Box 5: Box 5 has an obvious length but receives its height yet again from box 2. 12*18= 216 cm²

Box 6: Box 6's parameters are both obvious. 25*12= 300 cm²

The next step is to add the area of all the sections. 300+450+216+450+216+300= 1932 cm²

I hope this helped you!

3 0
3 years ago
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