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Lapatulllka [165]
3 years ago
15

HELP!!!

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

∠ Q = 75°

Step-by-step explanation:

Since PR and PQ are equal then the triangle is isosceles, thus

the base angles R andQ are congruent

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 2x + 15 + 2x + 15 = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

∠ Q = 2x + 15 = 2(30) + 15 = 60 + 15 = 75°

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Question 2
Pavel [41]

Answer:

26

Step-by-step explanation:

Given that :

2 out of every 5 people buys vanilla ice cream;

If Total number of ice cream sold in a day = 65 ; how many will be vanilla ;

Probability of purchasing vanilla ; p(vanilla) = 2/5 = 0.4

Hence, expected number who bought vanilla :

p(vanilla) * total number of icecream sold

0.4 * 65 = 26

Hence, about 26 of the 65 icecream sold are vanilla flavor.

7 0
3 years ago
In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=84°, and OP = 2. 9 feet. Find the length of PQ to the nearest tenth of a foot
Afina-wow [57]

OP= 27. 6

Step-by-step explanatexplanation:

In triangle OPQ: Ô+P+Q =180

therefore <P= 6°

OQ= OP sinsinà

OP= OQ/ sinà

OP= 2.9/ sin6°

OP= 27.7 ft

using pythagoras

OP^2 = PQ^2 + OQ^2

PQ= sqrt( 27.74^2 - 2.9^2)

PQ= 27.27.6

7 0
3 years ago
The diagram shows the construction of a parallel line M. Determine the reason why M is parallel to L.
aleksandr82 [10.1K]
Becaus the Point Stand up vertical on M and L
7 0
4 years ago
What is the equation of the axis of symmetry of a parabola if its x-intercepts are -3 and 7?
Ostrovityanka [42]
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.

so what's the x-value halfway between -3 and 7?  yeap, you guessed it, 2.

so the axis of symmetry for this vertical parabola will be at x = 2.
7 0
3 years ago
Mark incorrectly solved the inequality -4(5/2+3/2x) &gt; 8. His work is shown. Which step shows an error based on the inequality
aliya0001 [1]

Answer : The incorrect step is, (A) step 1: -10 + 6x > 8

Step-by-step explanation :

The given expression is:

-4(\frac{5}{2}+\frac{3}{2}x)>8

Now solving this expression step by step.

First -4 distributed over parentheses.

(-4\times \frac{5}{2})+(-4\times \frac{3}{2}x)>8

Now solving bracket term, we get:

-10-6x>8

Now taking like terms together, we get:

-6x>8+10

-6x>18

-x>3

Now multiplying this expression by (-1), we get:

x>-3

Thus, the incorrect step is, (A) step 1: -10 + 6x > 8

5 0
3 years ago
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