Please help ASAP. PRE ALGEBRA
Answers
Answer:
90, 90, 90, 135, 135
Step-by-step explanation:
The sum of the measures of all angles is 540 deg.
The measures of the angles are: x - 45, x - 45, x, x, x - 45.
Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.
x + x + x - 45 + x - 45 + x - 45 = 540
5x - 135 = 540
5x = 675
x = 135
x - 45 = 135 - 45 = 90
Answer: 90, 90, 90, 135, 135
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Answers
Answers
Answer:
Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.
Step-by-step explanation:
2. Given the points A, B, C, D, calculate:
(a) the angle B of the triangle ABC
(b) the area of the triangle ABC
(c) the median BE of the triangle ABC
(d) the height AH of the triangle ABC
(e) the volume of tetrahedron ABCD
(f) the point E so that ABCE is a parallelogram.
A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)
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The three equivalent ratios are 27/6, 45/10, and 36/8.
Given,
The ratio of right-handed students to left-handed students is 18:4.
We need to find three equivalentratios of 18:4.
What is a ratio?
A ratio is denoted by A:B.
If the ratios are equal we called it proportion.
Example:
2/4 = 16/32 = 6/12
2/4 = 1/2
16/32 = 2/4 = 1/2
6/12 = 1/2
2/4, 16/32, and 6/12 are equivalent ratios and they are in proportion.
We have,
18:4
It can be written as:
= 18/4
Reducing it to the smallest term.
= 2 x 9 / 2 x 2
= 9 / 2
So,
We can have,
27/6, 45/10, and 36/8 as our equivalentratios.
27/6 = 3 x 9 / 3 x 2 = 9/2
45/10 = 5 x 9 / 5 x 2 = 9/2
36/8 = 4 x 9 / 4 x 2 = 9/2
Thus the three equivalent ratios are 27/6, 45/10, and 36/8.
Learn more about ratios here:
#SPJ2
9 : 2 if you divide 18 and 4 by 2
36 : 8 if you multiply 18 and 4 by 2
54 : 12 if you multiply 18 and 4 by 3
Hope this helps!!
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Answer:
In this problem
represents egg orders
represents waffles orders.
"Four less than three times the number of egg orders" is expressed
"Six more than two times the number of waffle orders" is expressed
Remember that "more" represent addition, "times" represent product
2x+6=w (w being waffle orders)
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Answer:
CD = 10
AD = 22
EC = 13
AC = 26
∠CAD = 23°
∠BAC = 47°
∠ADC =110°
Step-by-step explanation:
A parallelogram is a quadrilateral with two sets of opposite parallel lines.
Which mean in ABCD parallelogram given AB is parallel to DC and BC is parallel to AD.
Now lets find the values required,
CD = AB (Opposite sides are equal in length)
But, AB= 10 (given) therefore CD = 10.
AD = BC (Opposite sides are equal in length)
But, BC= 22 (given) therefore AD = 22.
EC = AE (Diagonals bisect each other)
But, AE= 13 (given) therefore EC = 13
AC = AE + EC
=
AC =
∠CAD = ∠BCA (Alternate interior angles are equal)
But, ∠BCA = 23° therefore, ∠CAD = 23°
∠BAC = ∠ACD (Alternate interior angles are equal)
But, ∠ACD = 47° therefore, ∠BAC = 47°
∠ADC + ∠BCD = 180° (Consecutive interior angles)
But, ∠BCD = 23°+47°=70°
∠ADC = 180°- ∠BCD
=180°-70°
∠ADC =110°
1 inch = 2.54 cm
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(Note that the unit cancels out so you get the answer)
The answer is 8.89 cm~