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professor190 [17]

3 years ago

14

suppose that you pay a dollar to roll two dice if you roll some eight or nine you get a dollar back plus a dollar fifty if not y

ou get nothing

1 answer:

never [62]3 years ago

6 0

A little confused by the question

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Please anybody help me please this is so hard that not even I can't solve this I don't pay attention in class

Alla [95]

Answer:

$m\angle B=54^{\circ}$

$m\angle BAD=36^{\circ}$

$m\angle CDA=90^{\circ}$

$BAC=72^{\circ}$

Step-by-step explanation:

Given:

$\overline{AB}\cong \overline{AC},$

$\overline{AD}$ bisects angle BAC

$m\angle C=54^{\circ}$

Triangle ABC is isosceles triangle, because $\overline{AB}\cong \overline{AC}.$ Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

$m\angle C=m\angle B=54^{\circ}$

The sum of the measures of all interior angles is 180°, so,

$m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}$

Since $\overline{AD}$ bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

$m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}$

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

$m\angle CDA=90^{\circ}$

8 0

3 years ago

Len [333]

Answer:

7/3=2.3

1. the distance between the towns is 2.3 km

52/4=13

2. the distance between the cities on the map is 13 cm

Step-by-step explanation:

4 0

2 years ago

Jade wants to verify that the expression 5(3x – 6) is equivalent to 15x – 30. She substitutes 2 into each expression and evaluat

Lemur [1.5K]

Answer:

They are equivalent if the two values are the same.

Step-by-step explanation:

i got it right on the test

4 0

3 years ago

Read 2 more answers

Four friends order a 12 plzza to share.

OlgaM077 [116]

Ans 0.33333333333

Step-by-step explanation:

4 0

3 years ago

Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if

Allisa [31]

Answer:

288 in²

Step-by-step explanation:

The formula used to solve this question is :

Lateral Surface Area = s( P1 + P2)

Where s = slant height = 2 inches

P1 and P2 = Perimeter of the bases

Perimeter of base 1 = 4 × length of the end of the small square

4 × 17 inches = 68 inches

Perimeter of base 2 = 4 × length of the end of the large square

4 × 19 inches = 76 inches

Lateral Surface Area = 2 × (68 + 76)

= 2 × 144

= 288 in²

8 0

3 years ago