The sum of the measures of the angles of the triangle is 180 degrees. What is the value of each angle in the triangle if angle one is (3x + 51), angle two is (x) and angle three is (x + 19)

Answer:

a) (tri)ABC ~ (tri)CDE

b) AA

Step-by-step explanation:

a) Given in the question (the triangles are similar)

b) AA similarity is found by the vertical angle at <ACB and <DCE and the marked angles at <D and <A.

Step-by-step explanation:

Hence the value of x is 70.14cm.

Answer:

100 pieces maybe?

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). Since, BC is perpendicular to the plane FEDC, measure of angle BCD = 90°

By applying Pythagoras theorem in ΔBCD,

BD² = BC² + CD²

BD² = (10)² + (24)²

BD = √676

BD = 26 cm

B). Surface area of the wedge = Sum of all the surfaces of the wedge

Area of BCD = Area of AEF = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(10)(24)[/tex]

                                             = 120 cm²

Area of CDEF = Length × Width

                       = ED × CD

                       = 26 × 24

                       = 624 cm²

Area of BCFA = 10 × 26 = 260 cm²

Area of ABDE = ED × BD

                       = 26 × 26

                       = 676 cm²

Total surface area of the wedge = 2(120) + 624 + 260 + 676

                                                     = 1800 cm²

C). Volume of the triangular prism = Area of the triangular base × Height

                                                         = (Area of BCD) × DE

                                                         = 120 × 26

                                                         = 3120 cm³

d). By applying sine rule in the right triangle BCD,

sin(∠BDC) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{BC}{BD}[/tex]

m(∠BDC) = [tex]\text{sin}^{-1}(\frac{10}{26})[/tex]

               = 22.6°

Answer:

$219 without tax

Step-by-step explanation:

im not sure how to calculate tax

hope this helps :)

Answer:

Im gonna have to say 10w + 9x?

Step-by-step explanation:

I hope this can help :,)

Answer: 30w + 9

Step-by-step explanation:

10w + 3 * 3 can be written as

3 (10w +3) and u have to distribute 3 to 10 w and the other 3

= 3*10w + 3*3

= 30w + 9

Answer:

b acute I think so ok but that was a weird quistoin

Answer:

The first answer is no

two varying quantities are said to be in a relation of proportionality you can't divide 50 into 6 and get a proportional number

The second answer is yes because they are all equal and make a straight line

Step-by-step explanation:

Answer:

20-0.7

Step-by-step explanation:

Answer:

20-0.7

Step-by-step explanation:

Answer:

9.14532 x 10^8

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Answer:

(1,7)

Step-by-step explanation:

It is where the line intersects. coordinates x axis 1, coordinates y axis 7.

Answer:

The number of edges connected to a single vertex v is the degree of v. Thus, the sum of all the degrees of vertices in the graph equals the total number of incident pairs (v, e) we wanted to count.

HOPE THIS HELPS

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ7

Answer:

1:2

Step-by-step explanation:

Answer: A) 18.3 x 7 and D) 5.4 x 2.8

Step-by-step explanation:

A) 18.3 x 7 = 128.10

We can infer that 1 is in the tenths place.

B) 6.5 x 4.31 = 28.015

We can infer that 1 is not in the tenths place but rather the hundredths place.

C) 8.54 x 2.3 = 19.642

We can infer that 1 is not in the tenths place.

D) 5.4 x 2.8 = 15.12

We can infer that 1 is in the tenths place.

Answer:

1. = 1 because any numbers to the power 0 is one

2. = 1/64

3.= b^15 base same power added up

Answer:

a

Step-by-step explanation:

Answer:

Susan has more books than Michael.

Step-by-step explanation:

If Susan has 50% more books and Michael has 40 books, that means Susan has 1.5 times 40 = 60

40 + 8 = 48

60 is more than 48, so Susan has more books than Michael

Answer:

Step-by-step explanation:

Answer:

27 cups

Step-by-step explanation:

Amount of orange juice in the mixture = 3 quarts

Therefore, number of cups of orange juice = 3 × 4 cups [Since, 1 quarts = 4 cups]

                                                                        = 12 cups

Amount of milk in the mixture = 5 pints

Therefore, amount of milk in cups = 5 × 2  [Since, 1 pint = 2 cups]

                                                         = 10 cups

Amount of pineapple juice in the mixture = 5 cups

Amount of mixture = Amount of Orange juice + Amount of pineapple juice + Amount of milk

= 12 + 10 + 5

= 27 cups

Therefore, total amount of smoothies = 27 cups

Answer:

C. 15/12

Step-by-step explanation:

15 boys and 12 girls

Answer:

b

Step-by-step explanation:

12/15

Answer:

y = 10x + 75 If not then

X = 10y + 75

Answer:

(A).

Step-by-step explanation:

yo my boy look at the problem first because that was so easy

4 cookies and 5 donuts

Answer:

1x + 1.5y = 18

x + y = 15

She bought 9 donuts and 6 cookies.

Answer:

184 square inches

Step-by-step explanation: