All categories

3 years ago

40 POINTS Geometry homework

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

$\angle{DBC }$ =(5x+4)°

$\angle{ A }$ =(2x-2)°

$\angle{C }$ =(4x-6)°

we know that,

$\angle{DBC}$ = $\angle{A}$ + $\angle{C}$

According to the question,

$\tt{ 5x+4=2x-2+4x-6 }$

$\tt{ 5x+4=6x-8 }$

$\tt{ 6x-5x=4+8 }$

$\blue{x=12 }$

so,

$\angle{C }$ =(4x-6)°=(4×12-6)°=(48-6)°=42°

You might be interested in

A triangle has a base of 3⅖ inches and an area of 5⅒ square inches. Find the height of the triangle. Show your reasoning

N76 [4]

Answer: 3 in.

Step-by-step explanation:

Given

The base of the triangle is $3\frac{2}{5}\ inches$

The area of the triangle is $5\frac{1}{10}\ inches^2$

Solve mixed fraction

Base is

$=3\dfrac{2}{5}\\\\=\dfrac{17}{5}\ in.$

Area is

$=5\dfrac{1}{10}\\\\=\dfrac{51}{10}\ in.^2$

The area of the triangle is given by

$\Rightarrow \text{Area A=}\dfrac{1}{2}\times \text{base}\times \text{height}$

Insert the values to get the height

$\Rightarrow \dfrac{51}{10}=\dfrac{1}{2}\times \dfrac{17}{5}\times \text{height}\\\\\Rightarrow \text{height}=3\ in.$

8 0

3 years ago

Question 1

arlik [135]

Answer:

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

$(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2$

$(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13$

The perimeter of the triangle is 5 + 12 + 13 = 30

6 0

3 years ago

Herman Opened a credit card at a department store with an APR of 24.45% compounded semiannually. What is the APY on his credit c

mash [69]

Semiannually means two.
so add 24.45 + 24.45
the answer would be A) 48.90%

5 0

3 years ago

If the diameter of circle a measures half of the diameter of circle b, then the area of circle b is how many times the area of c

Eduardwww [97]

Circle b:

Diameter = x

Radius = $\frac{x}{2}$

Area = $\pi r^{2} = \pi ( \frac{x}{2} )^{2} = \frac{ \pi x^{2} }{4}$

Circle a:

Diameter = $\frac{x}{2}$

Radius = $\frac{x}{2} * \frac{1}{2} = \frac{x}{4}$

Area = $\pi r^{2} = \pi ( \frac{x}{4} )^{2} = \frac{ \pi x^{2} }{16}$

Thus,

Area of circle b to area of circle a

= $\frac{ \pi x^{2} }{4}$ ÷ $\frac{ \pi x^{2} }{16}$

= $\frac{ \pi x^{2} }{4}$ × $\frac{ 16 }{\pi x^{2}}$

= 4

Hence, the area of circle b is 4 times the area of circle a.

5 0

3 years ago

Which ratio is equivalent to 6 : 7? A. 12 : 13 B. 18 : 48 C. 36 : 49 D. 48 : 56

lara [203]

The answer is D. The answer is D because you just keep multiplying each number by the same number.

6 • 8 = 48
7 • 8 = 56

6 0

3 years ago