All categories

3 years ago

I am trying to understand how to solve for X, then solve the equation

Mathematics

1 answer:

Alina [70]3 years ago

5 0

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

You might be interested in

Im looking for some help on these questions. The answer that best answers the questions and helps me the most will receive brain

s344n2d4d5 [400]

Detailed solution is attached!!~

Diagram for ques. 3 is also attached!!

7 0

2 years ago

What is the area of the figure below? Use 3.14 for pi. Round your answer to the nearest hundredth.

sammy [17]

Answer:

area of the figure ≈61.23 cm² to the nearest hundredth

Step-by-step explanation:

To find the area of the figure, we will follow the steps below;

Looking at the figure, we will see that the figure comprises of both semi-circle and a parallelogram

area of figure = area of semicircle + area of parallelogram

first, we will find the area of the semi-circle

area of a semi-circle = πr² /2

from the diagram given, diameter = 7cm

but diameter = 2r, this implies that radius r = d/2, hence radius r = 7/2 = 3.5 cm

π = 3.14

Lets insert the values into the formula

area of a semi-circle = πr² /2

=3.14×3.5² /2

=3.14×12.25 /2

=19.2325 cm²

Area of a parallelogram = b×h

where b = base and h = height

from the figure given, base b = 7cm and height h = 6 cm

Lets insert the values into the formula

Area of a parallelogram = b×h

= 7×6

=42 cm²

area of the figure = area of semicircle + area of parallelogram

=19.2325 cm² + 42 cm²

=61.2325 cm²

≈61.23 cm² to the nearest hundredth

area of the figure ≈61.23 cm² to the nearest hundredth

8 0

3 years ago

Are these(4,1) 1,-3) (2,0) solutions to this graph?

kogti [31]

(4,1) : no because the line is solid.
(1,-3) : yes because the line is not solid.
(2,0) : no because the line is solid.

Solid lines represent < or >, and if a point is on the line directly, it’s not included in the solution set.

7 0

3 years ago

Tanya is training a turtle for a race. For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile. At wh

vazorg [7]

Answer:

$\frac{6}{20} \ mile\ per\ hour$

Step-by-step explanation:

Given:

For every 1/2 of an hour that the turtle is crawling, he can travel 3/20 of a mile

Question asked:

At what unit rate is the turtle crawling?

Solution:

As here time taken is given and the distance traveled is also given and hence we will apply speed and distance formula to find rate of crawling of turtle.

Time taken by turtle = $\frac{1}{2} \ hour$