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2 years ago

Find Measure of angle 1 Options: 60 50 40 30

Mathematics

1 answer:

Fofino [41]2 years ago

8 0

Answer:

Its equal so its 40

Step-by-step explanation:

prove me wrong

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Eric has $25 to purchase magazines and to pay for his lunch. Each

faust18 [17]

Answer:

Step-by-step explanation:

The maximum amount Eric can spend on magazines is $25 less the cost of lunch, $15.

The appropriate inequality sign would be less than since he cannot spend more than $25.

Also, the amount he can spend on magazines would be what is left after paying for lunch.

So the correct inequality is 4m - 15 < 25

8 0

2 years ago

Lori creates the following design for a T-shirt.

kakasveta [241]

<u>Solution-</u>

From the figure,

AE = 2.4

EB = 2.8

BC = 11.7

Area of rectangle 1 = 8.68 sq.in

$\Rightarrow FH \times HI=8.68$

$\Rightarrow EB \times HI=8.68$ (∵ sides of the rectangle 2)

$\Rightarrow 2.8 \times HI=8.68$

$\Rightarrow HI=3.1$

Area of Triangle 1 = 6.48 sq.in

$\Rightarrow \frac{1}{2}\times AE \times EG= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+FG)= 6.48$

$\Rightarrow \frac{1}{2}\times AE \times (EF+HI)= 6.48$ (∵ sides of the rectangle 1)

$\Rightarrow EF+3.1= 5.4$

$\Rightarrow EF=2.3$

$\Rightarrow BH=2.3$ (∵ sides of the rectangle 2)

$BC = BH+HI+IC$

$\Rightarrow 11.7= 2.3+3.1+IC$

$\Rightarrow IC=6.3$

The area of Rectangle 2,

$=EB\times BH =2.8\times 2.3=6.44\ sq.in$

The area of Triangle 2,

$\frac{1}{2}\times GI \times IC=\frac{1}{2}\times EB \times IC=\frac{1}{2}\times 2.8 \times 6.3=8.82\ sq.in$

The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2

= 6.48+8.68+8.82+6.44=30.42 sq.in

6 0

3 years ago

A tower that is 147 feet tall casts a shadow 151 feet long. Find the angle of elevation of the sun to the nearest degree.

Marina CMI [18]

Answer:44°

Step-by-step explanation:

Solution is in the attachment

8 0

3 years ago

What is the solution to the system of equations? {10x^2 - y = 48 2y = 16x^2 + 48

julsineya [31]

A graph shows the solutions to be
(x, y) = (-6, 312) or (6, 312)

To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
10x^2 -(8x^2 +24) = 48
2x^2 = 72
x = ±√(72/2) = ±6
y = 8*36 +24 = 312

6 0

3 years ago

the sum of three consecutive integers is 132. what are the three integers? write an equation to model the problem. then solve

Tamiku [17]

Answer:

The three consecutive integers are 42,44 and 46

Step-by-step explanation:

n-2 n and n+2. n=44

(X) + (X + 1) + (X + 2) = 132

X + X + 1 + X + 2 = 132

3X + 3 = 132

3X + 3 - 3 = 132 - 3

3X = 129

3X/3 = 129/3

X = 43

43 + 44 + 45 = 132

7 0

3 years ago